Nonlinear Dynamic Model Library
Projects.NonlinearModelLibrary History
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This response shows the system response after a step change in the reflux ratio from 3.0 to 1.5. Each trajectory represents the mole fraction of cyclohexane at each tray. The top reflux material becomes less pure (more n-heptane) due to the increased draw from the top of the column.
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plot_distillation.png
This response shows the system response after a step change in the reflux ratio. Each trajectory represents the mole fraction of cyclohexane at each tray. The top reflux material becomes less pure (more n-heptane) due to the increased draw from the top of the column.
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Some models are developed in the MATLAB language while others are in the Gekko Optimization Suite (Python) or the APMonitor modeling language (Matlab and Python). The link in the Download column is a zipped archive of all files needed to simulate the system for MATLAB. For APMonitor models it is a link to the wiki model page. Finally, the Description gives a brief overview of the model. Similar models are generally grouped together with the simplest model appearing first.
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Some models are developed in the MATLAB language while others are in the Gekko Optimization Suite (Python) or the APMonitor modeling language (Matlab and Python). The link in the Download column is a zipped archive of all files needed to simulate the system for MATLAB. For APMonitor or Gekko models it is a link to the source model page. Finally, the description gives a brief overview of the model. Similar models are generally grouped together with the simplest model appearing first.
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<a href="https://apmonitor.com/heat.htm">TCLab PID</a></td>
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<a href="https://apmonitor.com/compare.htm">TCLab MPC</a></td>
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<a href="https://apmonitor.com/do/index.php/Main/AdvancedTemperatureControl">TCLab MPC</a></td>
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<a href="https://apmonitor.com/compare.htm">TCLab PID</a></td>
<td width="75%">Temperature Control Lab (TCLab) Benchmark</td>
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<a href="https://apmonitor.com/compare.htm">TCLab MPC</a></td>
<td width="75%">Advanced Modeling and Control Benchmark</td>
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<a href="https://apmonitor.com/do/index.php/Main/InvertedPendulum">Pendulum</a></td>
<td width="75%">Inverted Pendulum</td>
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CSTR - Continuously Stirred Tank Reactor
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CSTR - Continuously Stirred Tank Reactor
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CSTR - Continuously Stirred Tank Reactor with Intermediate Species
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CSTR - Continuously Stirred Tank Reactor with Intermediate Species
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Binary Distillation Column with 30 trays (cyclohexane n-heptane)
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Binary Distillation Column with 30 trays (cyclohexane n-heptane)
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Cruise Control with Disturbance
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Cruise Control with Disturbance
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Gravity Drained Water Tank
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Gravity Drained Water Tank
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Human Blood Glucose Model for Insulin Control - Type I Diabetes
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Human Blood Glucose Model for Insulin Control - Type I Diabetes
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Yeast Fermentation Bioreactor
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Yeast Fermentation Bioreactor
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You can make this library better by submitting your own models or improvements to the current set. Thousands of visitors download these models every month, making this site a great platform for disseminating research and networking with interested companies.
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You can make this library better by submitting your own models or improvements to the current set. Thousands of visitors download these models every month, making this site a great platform for disseminating research and networking with interested companies. For new submissions, please use the MathWorks File Exchange or post the model on Stack Overflow.
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<td width="75%"> Zoltan K. Nagy's Dynamic simulator for a yeast fermentation bioreactor</td>
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<td width="75%">Zoltan K. Nagy's Dynamic simulator for a yeast fermentation bioreactor</td>
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<td width="75%"> Blood Glucose Model for Type-I Diabetic</td>
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<td width="75%">Blood Glucose Model for Type-I Diabetic</td>
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<td width="75%"> Blood Glucose Model for Insulin Control</td>
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<td width="75%">Blood Glucose Model for Insulin Control</td>
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<td width="75%"> Cell culture population dynamics</td>
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<td width="75%">Cell culture population dynamics</td>
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<td width="75%"> Electric Vehicle with Roger Aarenstrup's DC motor model</td>
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<td width="75%">Electric Vehicle with Roger Aarenstrup's DC motor model</td>
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<td width="75%"> Minimize cost while meeting nutritional needs</td>
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<td width="75%">Minimize cost while meeting nutritional needs</td>
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<td width="75%"> Distillation Column (Constant Relative Volatility)</td>
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<td width="75%">Distillation Column (Constant Relative Volatility)</td>
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<td width="75%"> Distillation Column (Constant Relative Volatility)</td>
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<td width="75%">Distillation Column (Constant Relative Volatility)</td>
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<td width="75%"> Distillation Column with Wilson Eq and P<span style="font-size: 12pt; position: relative; top: .37em">sat</span>/P
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<td width="75%">Distillation Column with Wilson Eq and P<span style="font-size: 12pt; position: relative; top: .37em">sat</span>/P
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<td width="75%"> Distillation Column with Wilson Equation</td>
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<td width="75%">Distillation Column with Wilson Equation</td>
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<td width="75%"> Distillation Column with Enthalpy Equation</td>
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<td width="75%">Distillation Column with Enthalpy Equation</td>
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<td width="75%"> Electric Vehicle</td>
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<td width="75%">Electric Vehicle</td>
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<td width="75%"> Yang Zhang's yeast fermentation bioreactor model</td>
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<td width="75%">Yang Zhang's yeast fermentation bioreactor model</td>
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<td width="75%"> Ben Spivey's Solid Oxide Fuel Cell Model</td>
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<td width="75%">Ben Spivey's Solid Oxide Fuel Cell Model</td>
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<td width="75%"> Industrial scale corn ethanol plant</td>
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<td width="75%">Industrial scale corn ethanol plant</td>
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<td width="75%"> Gas blending optimization problem</td>
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<td width="75%">Gas blending optimization problem</td>
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<td width="75%"> Heated Rod with Nonlinear Model Reduction by Proper Orthogonal Decomposition</td>
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<td width="75%">Heated Rod with Nonlinear Model Reduction by Proper Orthogonal Decomposition</td>
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<td width="75%"> Test suite of 119 optimization problems</td>
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<td width="75%">Test suite of 119 optimization problems</td>
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<td width="75%"> Moritz Diehl's Dual String Kite Model</td>
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<td width="75%">Moritz Diehl's Dual String Kite Model</td>
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<td width="75%"> Model Predictive Control with Linear State Space Models</td>
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<td width="75%">Model Predictive Control with Linear State Space Models</td>
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<td width="75%"> DC Motor</td>
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<td width="75%">DC Motor</td>
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<td width="75%"> Electrical Oscillator</td>
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<td width="75%">Electrical Oscillator</td>
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<td width="75%"> Inverted Pendulum</td>
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<td width="75%">Inverted Pendulum</td>
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<td width="75%"> Yang Zhang's polyethylene reactor model
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<td width="75%">Yang Zhang's polyethylene reactor model
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<td width="75%"> CSTR with Jacket Dynamics (A->B)</td>
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<td width="75%">CSTR with Jacket Dynamics (A->B)</td>
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<td width="75%"> CSTR with Jacket Dynamics (A->B)</td>
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<td width="75%">CSTR with Jacket Dynamics (A->B)</td>
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<td width="75%"> CSTR with Jacket Dynamics (A-B-C-D)</td>
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<td width="75%">CSTR with Jacket Dynamics (A-B-C-D)</td>
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<td width="75%"> CSTR with Jacket Dynamics (A->B->C) </td>
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<td width="75%">CSTR with Jacket Dynamics (A->B->C) </td>
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<td width="75%"> 2 CSTRs in Series (A->B)</td>
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<td width="75%">2 CSTRs in Series (A->B)</td>
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<td width="75%"> 2 CSTRs in Series with Jacket Dyn (A->B)</td>
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<td width="75%">2 CSTRs in Series with Jacket Dyn (A->B)</td>
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<td width="75%"> CSTR</td>
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<td width="75%">CSTR</td>
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<td width="75%"> Endeavor Space Shuttle Launch</td>
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<td width="75%">Endeavor Space Shuttle Launch</td>
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<td width="75%"> Solar Collector</td>
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<td width="75%">Solar Collector</td>
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<td width="75%"> Cruise Control</td>
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<td width="75%">Cruise Control</td>
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<td width="75%"> Cruise Control (with Disturbance)</td>
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<td width="75%">Cruise Control (with Disturbance)</td>
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<td width="75%"> Spring</td>
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<td width="75%">Spring</td>
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<td width="75%"> Dow Jones Industrial Stocks</td>
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<td width="75%">Dow Jones Industrial Stocks</td>
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<td width="75%"> Underwater Vehicle</td>
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<td width="75%">Underwater Vehicle</td>
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<td width="75%"> Gravity Drained Water Tank</td>
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<td width="75%">Gravity Drained Water Tank</td>
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<td width="75%"> Gravity Drained Water Tank</td>
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<td width="75%">Gravity Drained Water Tank</td>
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<td width="75%">Thermodynamic property data as a web service</td>
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<td width="75%"> Yacht engine control with approach to dock</td>
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<td width="75%">Yacht engine control with approach to dock</td>
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The library consists of nonlinear models that include chemical reactors, binary distillation columns, and simple mechanical systems. The complexity of the models range from a simple ODE model with 1 input and 1 state to a large DAE model with 2 inputs and 125 states.
Most of the models are taken from published articles. Currently, all the models are written in MATLAB, APMonitor, or Gekko. Each one has a step response driver where the model response is computed with an numerical solution engine such as the MATLAB integrator (e.g. ODE15s).
CSTR - Continuously Stirred Tank Reactor
The CSTR model with A->B exothermic reaction is the most popular model in the library. It is a standard model that has been used in reaction engineering textbooks, simulation and control research, and demonstrations for industrial software.
The model has 2 states: the concentration of A and the temperature of the reaction vessel liquid. The manipulated variable is the jacket water temperature. At a jacket temperature of 305K, the reactor model has an oscillatory response. The oscillations are characterized by reaction run-away with a temperature spike. When the concentration drops to a low value, the reactor cools until the concentration builds and there is another run-away reaction.
CSTR - Continuously Stirred Tank Reactor with Intermediate Species
Models 1-5, 10 are all variations of the CSTR model. Model 3 in particular, has a reaction intermediary (B). There is an additional equation and variable to account for the intermediate reaction step.
Binary Distillation Column with 30 trays (cyclohexane n-heptane)
Distillation column models are generally good test models for nonlinear model reduction and identification. The concentrations at each stage or tray are highly correlated. The dynamics of the distillation process can be described by a relatively few number of underlying dynamic states. A couple papers have been published with this model as an example application. One in particular is:
Hahn, J. and T.F. Edgar, An improved method for nonlinear model reduction using balancing of empirical gramians, Computers and Chemical Engineering, 26, pp. 1379-1397, (2002)
This response shows the system response after a step change in the reflux ratio from 3.0 to 1.5. Each trajectory represents the mole fraction of cyclohexane at each tray. The top reflux material becomes less pure (more n-heptane) due to the increased draw from the top of the column.
Cruise Control with Disturbance
This simple mechanical model is of an object that is seeking to maintain constant speed while subject to disturbances. In this case, the disturbance is the incline or decline angle.
Gravity Drained Water Tank
This gravity drained water tank was a control experiment for Tom Edgar's undergraduate control course. The students had to perform experiments to determine the process time constant and tune a PID controller. The model gave excellent predictions of level (or volume) and was used to demonstrate the advantage of model predictive control (MPC) over PID control for level control.
The response shows the inlet valve 80% open for 60 seconds. The volume reaches 1400 mL before the inlet value is shut and the tank drains.
Human Blood Glucose Model for Insulin Control - Type I Diabetes
This model is combined from two related papers:
S. M. Lynch and B. W. Bequette, Estimation based Model Predictive Control of Blood Glucose in Type I Diabetes: A Simulation Study, Proc. 27th IEEE Northeast Bioengineering Conference, IEEE, 2001.
and
S. M. Lynch and B. W. Bequette, Model Predictive Control of Blood Glucose in type I Diabetics using Subcutaneous Glucose Measurements, Proc. ACC, Anchorage, AK, 2002.
It is a simple 3 state model that effectively describes blood glucose and insulin dynamics. The 3 states are plasma glucose concentration (mmol/L), plasma insulin concentration (mU/L) in remote compartment, and plasma insulin concentration (mU/L). The principal disturbance variable is the glucose input.
Yeast Fermentation Bioreactor
Zoltan Nagy contributed this model of a continuous plug flow fermentation reactor. Oxygen solubility is a function of the minerals that are present in solution.
You can make this library better by submitting your own models or improvements to the current set. Thousands of visitors download these models every month, making this site a great platform for disseminating research and networking with interested companies.
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<td nowrap width="11%" align="center"><u>Download</u></td>
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<td nowrap width="5%"><b>Type</b></td>
<td nowrap width="11%" align="center"><b>Download</b></td>
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<p align="center"><b>Description</b></td>
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<table border="1" cellpadding="0" cellspacing="0" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="AutoNumber1">
<tr>
<td nowrap width="5%"><u>Type</u></td>
<td nowrap width="11%" align="center"><u>Download</u></td>
<td width="75%">
<p align="center"><u><font size="3">Description</font></u></td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model22.zip">Bioreactor</a></td>
<td width="75%"> Zoltan K. Nagy's Dynamic simulator for a yeast fermentation bioreactor</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/DiabeticGlucose">Blood Glucose</a></td>
<td width="75%"> Blood Glucose Model for Type-I Diabetic</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model21.zip">Blood Glucose</a></td>
<td width="75%"> Blood Glucose Model for Insulin Control</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/CellCultivation">Cell Culture</a></td>
<td width="75%"> Cell culture population dynamics</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model23.zip">DC Motor</a></td>
<td width="75%"> Electric Vehicle with Roger Aarenstrup's DC motor model</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/FoodDiet">Diet</a></td>
<td width="75%"> Minimize cost while meeting nutritional needs</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/DistillationColumn">Distillation 1</a></td>
<td width="75%"> Distillation Column (Constant Relative Volatility)</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model8.zip">Distillation 1</a></td>
<td width="75%"> Distillation Column (Constant Relative Volatility)</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model13.zip">Distillation 2</a></td>
<td width="75%"> Distillation Column with Wilson Eq and P<span style="font-size: 12pt; position: relative; top: .37em">sat</span>/P
constant</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model14.zip">Distillation 3</a></td>
<td width="75%"> Distillation Column with Wilson Equation</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model18.zip">Distillation 4</a></td>
<td width="75%"> Distillation Column with Enthalpy Equation</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/ElectricVehicle">Electric Auto</a></td>
<td width="75%"> Electric Vehicle</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model24.zip">Fermentation</a></td>
<td width="75%"> Yang Zhang's yeast fermentation bioreactor model</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/FuelCell">Fuel Cell</a></td>
<td width="75%"> Ben Spivey's Solid Oxide Fuel Cell Model</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/FuelEthanol">Fuel Ethanol</a></td>
<td width="75%"> Industrial scale corn ethanol plant</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/GasBlending">Gas Blend</a></td>
<td width="75%"> Gas blending optimization problem</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model19.zip">Heated Rod</a></td>
<td width="75%"> Heated Rod with Nonlinear Model Reduction by Proper Orthogonal Decomposition</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/HockSchittkowski">Hock Schittkowski</a></td>
<td width="75%"> Test suite of 119 optimization problems</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model17.zip">Kite</a></td>
<td width="75%"> Moritz Diehl's Dual String Kite Model</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/LinearStateSpace">Linear MPC</a></td>
<td width="75%"> Model Predictive Control with Linear State Space Models</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/ElectricMotor">Motor</a></td>
<td width="75%"> DC Motor</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/ElectricalOscillator">Oscillator</a></td>
<td width="75%"> Electrical Oscillator</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model6.zip">Pendulum</a></td>
<td width="75%"> Inverted Pendulum</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model25.zip">Poly Reactor</a></td>
<td width="75%"> Yang Zhang's polyethylene reactor model
</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/StirredReactor">Reactor 1</a></td>
<td width="75%"> CSTR with Jacket Dynamics (A->B)</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model1.zip">Reactor 1</a></td>
<td width="75%"> CSTR with Jacket Dynamics (A->B)</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model2.zip">Reactor 2</a></td>
<td width="75%"> CSTR with Jacket Dynamics (A-B-C-D)</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model3.zip">Reactor 3</a></td>
<td width="75%"> CSTR with Jacket Dynamics (A->B->C) </td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model4.zip">Reactor 4</a></td>
<td width="75%"> 2 CSTRs in Series (A->B)</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model5.zip">Reactor 5</a></td>
<td width="75%"> 2 CSTRs in Series with Jacket Dyn (A->B)</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model10.zip">Reactor 6</a></td>
<td width="75%"> CSTR</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/SpaceShuttle">Shuttle</a></td>
<td width="75%"> Endeavor Space Shuttle Launch</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model7.zip">Solar</a></td>
<td width="75%"> Solar Collector</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model11.zip">Speed Control</a></td>
<td width="75%"> Cruise Control</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model12.zip">Speed Control</a></td>
<td width="75%"> Cruise Control (with Disturbance)</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model9.zip">Spring</a></td>
<td width="75%"> Spring</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/wiki/index.php/Apps/StockMarket">Stocks</a></td>
<td width="75%"> Dow Jones Industrial Stocks</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model15.zip">Submarine</a></td>
<td width="75%"> Underwater Vehicle</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model16.zip">Tank</a></td>
<td width="75%"> Gravity Drained Water Tank</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/apmonitor.png'></td>
<td nowrap width="11%" align="center">
<a href="https://apmonitor.com/compare.htm">Tank</a></td>
<td width="75%"> Gravity Drained Water Tank</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/thermo.zip">Thermo</a></td>
<td width="75%"> Thermodynamic property data as a web service</td>
</tr>
<tr>
<td nowrap width="5%"><img width=25px src='/uploads/Projects/matlab.png'></td>
<td nowrap width="11%" align="center">
<a href="/uploads/Projects/model20.zip">Yacht</a></td>
<td width="75%"> Yacht engine control with approach to dock</td>
</tr>
</table>
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<table border="1" cellpadding="0" cellspacing="0" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="AutoNumber1">
<tr>
<td nowrap width="5%"><u>Type</u></td>
<td nowrap width="11%" align="center"><u>Download</u></td>
<td nowrap width="75%">
<p align="center"><u><font size="3">Description</font></u></td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model22.zip">Bioreactor</a></td>
<td nowrap width="75%"> Zoltan K. Nagy's Dynamic simulator for a yeast fermentation bioreactor</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/DiabeticGlucose">Blood Glucose</a></td>
<td nowrap width="75%"> Blood Glucose Model for Type-I Diabetic</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model21.zip">Blood Glucose</a></td>
<td nowrap width="75%"> Blood Glucose Model for Insulin Control</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/CellCultivation">Cell Culture</a></td>
<td nowrap width="75%"> Cell culture population dynamics</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model23.zip">DC Motor</a></td>
<td nowrap width="75%"> Electric Vehicle with Roger Aarenstrup's DC motor model</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/FoodDiet">Diet</a></td>
<td nowrap width="75%"> Minimize cost while meeting nutritional needs</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/DistillationColumn">Distillation 1</a></td>
<td nowrap width="75%"> Distillation Column (Constant Relative Volatility)</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model8.zip">Distillation 1</a></td>
<td nowrap width="75%"> Distillation Column (Constant Relative Volatility)</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model13.zip">Distillation 2</a></td>
<td nowrap width="75%"> Distillation Column with Wilson Eq and P<span style="font-size: 12pt; position: relative; top: .37em">sat</span>/P
constant</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model14.zip">Distillation 3</a></td>
<td nowrap width="75%"> Distillation Column with Wilson Equation</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model18.zip">Distillation 4</a></td>
<td nowrap width="75%"> Distillation Column with Enthalpy Equation</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/ElectricVehicle">Electric Auto</a></td>
<td nowrap width="75%"> Electric Vehicle</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model24.zip">Fermentation</a></td>
<td nowrap width="75%"> Yang Zhang's yeast fermentation bioreactor model</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/FuelCell">Fuel Cell</a></td>
<td nowrap width="75%"> Ben Spivey's Solid Oxide Fuel Cell Model</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/FuelEthanol">Fuel Ethanol</a></td>
<td nowrap width="75%"> Industrial scale corn ethanol plant</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/GasBlending">Gas Blend</a></td>
<td nowrap width="75%"> Gas blending optimization problem</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model19.zip">Heated Rod</a></td>
<td nowrap width="75%"> Heated Rod with Nonlinear Model Reduction by Proper Orthogonal Decomposition</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/HockSchittkowski">Hock Schittkowski</a></td>
<td nowrap width="75%"> Test suite of 119 optimization problems</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model17.zip">Kite</a></td>
<td nowrap width="75%"> Moritz Diehl's Dual String Kite Model</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/LinearStateSpace">Linear MPC</a></td>
<td nowrap width="75%"> Model Predictive Control with Linear State Space Models</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/ElectricMotor">Motor</a></td>
<td nowrap width="75%"> DC Motor</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/ElectricalOscillator">Oscillator</a></td>
<td nowrap width="75%"> Electrical Oscillator</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model6.zip">Pendulum</a></td>
<td nowrap width="75%"> Inverted Pendulum</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model25.zip">Poly Reactor</a></td>
<td nowrap width="75%"> Yang Zhang's polyethylene reactor model
</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/StirredReactor">Reactor 1</a></td>
<td nowrap width="75%"> CSTR with Jacket Dynamics (A->B)</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model1.zip">Reactor 1</a></td>
<td nowrap width="75%"> CSTR with Jacket Dynamics (A->B)</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model2.zip">Reactor 2</a></td>
<td nowrap width="75%"> CSTR with Jacket Dynamics (A-B-C-D)</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model3.zip">Reactor 3</a></td>
<td nowrap width="75%"> CSTR with Jacket Dynamics (A->B->C) </td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model4.zip">Reactor 4</a></td>
<td nowrap width="75%"> 2 CSTRs in Series (A->B)</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model5.zip">Reactor 5</a></td>
<td nowrap width="75%"> 2 CSTRs in Series with Jacket Dyn (A->B)</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model10.zip">Reactor 6</a></td>
<td nowrap width="75%"> CSTR</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/SpaceShuttle">Shuttle</a></td>
<td nowrap width="75%"> Endeavor Space Shuttle Launch</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model7.zip">Solar</a></td>
<td nowrap width="75%"> Solar Collector</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model11.zip">Speed Control</a></td>
<td nowrap width="75%"> Cruise Control</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model12.zip">Speed Control</a></td>
<td nowrap width="75%"> Cruise Control (with Disturbance)</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model9.zip">Spring</a></td>
<td nowrap width="75%"> Spring</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/wiki/index.php/Apps/StockMarket">Stocks</a></td>
<td nowrap width="75%"> Dow Jones Industrial Stocks</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model15.zip">Submarine</a></td>
<td nowrap width="75%"> Underwater Vehicle</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model16.zip">Tank</a></td>
<td nowrap width="75%"> Gravity Drained Water Tank</td>
</tr>
<tr>
<td nowrap width="5%"><img src='apmonitor25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="http://apmonitor.com/compare.htm">Tank</a></td>
<td nowrap width="75%"> Gravity Drained Water Tank</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/thermo.zip">Thermo</a></td>
<td nowrap width="75%"> Thermodynamic property data as a web service</td>
</tr>
<tr>
<td nowrap width="5%"><img src='matlab25.jpg'></td>
<td nowrap width="11%" align="center">
<a href="Current_Interests/Model_Database/models/model20.zip">Yacht</a></td>
<td nowrap width="75%"> Yacht engine control with approach to dock</td>
</tr>
</table>
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