Efficient nonlinear predictive control based on structured neural models

Maciej Ławryńczuk

International Journal of Applied Mathematics and Computer Science (2009)

  • Volume: 19, Issue: 2, page 233-246
  • ISSN: 1641-876X

Abstract

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This paper describes structured neural models and a computationally efficient (suboptimal) nonlinear Model Predictive Control (MPC) algorithm based on such models. The structured neural model has the ability to make future predictions of the process without being used recursively. Thanks to the nature of the model, the prediction error is not propagated. This is particularly important in the case of noise and underparameterisation. Structured models have much better long-range prediction accuracy than the corresponding classical Nonlinear Auto Regressive with eXternal input (NARX) models. The described suboptimal MPC algorithm needs solving on-line only a quadratic programming problem. Nevertheless, it gives closed-loop control performance similar to that obtained in fully-fledged nonlinear MPC, which hinges on online nonconvex optimisation. In order to demonstrate the advantages of structured models as well as the accuracy of the suboptimal MPC algorithm, a polymerisation reactor is studied.

How to cite

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Maciej Ławryńczuk. "Efficient nonlinear predictive control based on structured neural models." International Journal of Applied Mathematics and Computer Science 19.2 (2009): 233-246. <http://eudml.org/doc/207930>.

@article{MaciejŁawryńczuk2009,
abstract = {This paper describes structured neural models and a computationally efficient (suboptimal) nonlinear Model Predictive Control (MPC) algorithm based on such models. The structured neural model has the ability to make future predictions of the process without being used recursively. Thanks to the nature of the model, the prediction error is not propagated. This is particularly important in the case of noise and underparameterisation. Structured models have much better long-range prediction accuracy than the corresponding classical Nonlinear Auto Regressive with eXternal input (NARX) models. The described suboptimal MPC algorithm needs solving on-line only a quadratic programming problem. Nevertheless, it gives closed-loop control performance similar to that obtained in fully-fledged nonlinear MPC, which hinges on online nonconvex optimisation. In order to demonstrate the advantages of structured models as well as the accuracy of the suboptimal MPC algorithm, a polymerisation reactor is studied.},
author = {Maciej Ławryńczuk},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {process control; model predictive control; neural networks; optimisation; linearisation},
language = {eng},
number = {2},
pages = {233-246},
title = {Efficient nonlinear predictive control based on structured neural models},
url = {http://eudml.org/doc/207930},
volume = {19},
year = {2009},
}

TY - JOUR
AU - Maciej Ławryńczuk
TI - Efficient nonlinear predictive control based on structured neural models
JO - International Journal of Applied Mathematics and Computer Science
PY - 2009
VL - 19
IS - 2
SP - 233
EP - 246
AB - This paper describes structured neural models and a computationally efficient (suboptimal) nonlinear Model Predictive Control (MPC) algorithm based on such models. The structured neural model has the ability to make future predictions of the process without being used recursively. Thanks to the nature of the model, the prediction error is not propagated. This is particularly important in the case of noise and underparameterisation. Structured models have much better long-range prediction accuracy than the corresponding classical Nonlinear Auto Regressive with eXternal input (NARX) models. The described suboptimal MPC algorithm needs solving on-line only a quadratic programming problem. Nevertheless, it gives closed-loop control performance similar to that obtained in fully-fledged nonlinear MPC, which hinges on online nonconvex optimisation. In order to demonstrate the advantages of structured models as well as the accuracy of the suboptimal MPC algorithm, a polymerisation reactor is studied.
LA - eng
KW - process control; model predictive control; neural networks; optimisation; linearisation
UR - http://eudml.org/doc/207930
ER -

References

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