In Situ Adaptive Tabulation (ISAT)

Projects.InSituAdaptiveTabulation History

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January 24, 2025, at 08:59 PM by 10.35.117.248 -
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Open-Source (MIT) License

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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

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January 24, 2025, at 08:57 PM by 10.35.117.248 -
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January 24, 2025, at 08:52 PM by 10.35.117.248 -
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  1. Hedengren, J. D. and Edgar, T. F., In Situ Adaptive Tabulation for Real-time Control, Proceedings of the American Control Conference (ACC), Boston, MA, pp. 2222-2227, July 2004.
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March 21, 2024, at 11:46 PM by 10.35.117.248 -
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Download ISAT Source Code (Python)
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July 30, 2017, at 03:45 PM by 174.148.104.66 -
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ISAT approximates nonlinear function of dependent variables, y, as a function of independent variables, x. This is accomplished by dynamically constructing local linear approximations that are stored in a lookup database. 

  • Nonlinear function: y=f(x), xєRn, yєRp 
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  • Nonlinear system: y=f(x), xєRn, yєRp 
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ISAT approximates nonlinear function of dependent variables, y, as a function of independent variables, x. This is accomplished by dynamically constructing local linear approximations that are stored in a lookup database. 

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July 11, 2017, at 08:06 PM by 10.5.113.192 -
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  • Nonlinear function: y=f(x), xєRn, yєRp 
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Nonlinear function: y=f(x), xєRn, yєRp    ISAT approximation: y=A1x, y=A2x, y=A3x, etc. 

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  • ISAT approximation: y=A1x, y=A2x, y=A3x, etc. 

Download Source Code

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July 11, 2017, at 08:05 PM by 10.5.113.192 -
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  1. Hedengren, J. D. and Edgar, T. F., Approximate Nonlinear Model Predictive Control with In Situ Adaptive Tabulation, Computers and Chemical Engineering, Volume 32, pp. 706-714, 2008. Abstract
  2. Hedengren, J. D. and Edgar, T. F., In Situ Adaptive Tabulation for Real-Time Control, Industrial & Engineering Chemistry Research, Ind. Eng. Chem. Res., Volume 44, Issue 8, pp. 2716 -2724, 2005. Abstract
  3. Hedengren, J. D. and Edgar, T. F., In Situ Adaptive Tabulation for Real-time Control, Proceedings of the American Control Conference (ACC), Boston, MA, pp. 2222-2227, July 2004. Preprint Δ | Presentation Δ
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  1. Hedengren, J. D. and Edgar, T. F., Approximate Nonlinear Model Predictive Control with In Situ Adaptive Tabulation, Computers and Chemical Engineering, Volume 32, pp. 706-714, 2008. Article
  2. Hedengren, J. D. and Edgar, T. F., In Situ Adaptive Tabulation for Real-Time Control, Industrial & Engineering Chemistry Research, Ind. Eng. Chem. Res., Volume 44, Issue 8, pp. 2716 -2724, 2005. Article
  3. Hedengren, J. D. and Edgar, T. F., In Situ Adaptive Tabulation for Real-time Control, Proceedings of the American Control Conference (ACC), Boston, MA, pp. 2222-2227, July 2004.
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July 11, 2017, at 08:04 PM by 10.5.113.192 -
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Animated Example

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July 11, 2017, at 08:03 PM by 10.5.113.192 -
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References

  1. Pope, S. B., "Computationally Efficient Implementation of Combustion Chemistry Using In Situ Adaptive Tabulation", Combustion Theory Modelling, 1997, 1, pp. 41-63.
  2. Hedengren, J. D. and Edgar, T. F., Approximate Nonlinear Model Predictive Control with In Situ Adaptive Tabulation, Computers and Chemical Engineering, Volume 32, pp. 706-714, 2008. Abstract
  3. Hedengren, J. D. and Edgar, T. F., In Situ Adaptive Tabulation for Real-Time Control, Industrial & Engineering Chemistry Research, Ind. Eng. Chem. Res., Volume 44, Issue 8, pp. 2716 -2724, 2005. Abstract
  4. Hedengren, J. D. and Edgar, T. F., In Situ Adaptive Tabulation for Real-time Control, Proceedings of the American Control Conference (ACC), Boston, MA, pp. 2222-2227, July 2004. Preprint Δ | Presentation Δ
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