In Situ Adaptive Tabulation (ISAT)

Projects.InSituAdaptiveTabulation History

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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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July 11, 2017, at 08:01 PM by 10.5.113.192 -
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July 11, 2017, at 08:00 PM by 10.5.113.192 -
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