Effective dual-mode fuzzy DMC algorithms with on-line quadratic optimization and guaranteed stability

Piotr M. Marusak; Piotr Tatjewski

International Journal of Applied Mathematics and Computer Science (2009)

  • Volume: 19, Issue: 1, page 127-141
  • ISSN: 1641-876X

Abstract

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Dual-mode fuzzy dynamic matrix control (fuzzy DMC-FDMC) algorithms with guaranteed nominal stability for constrained nonlinear plants are presented. The algorithms join the advantages of fuzzy Takagi-Sugeno modeling and the predictive dual-mode approach in a computationally efficient version. Thus, they can bring an improvement in control quality compared with predictive controllers based on linear models and, at the same time, control performance similar to that obtained using more demanding algorithms with nonlinear optimization. Numerical effectiveness is obtained by using a successive linearization approach resulting in a quadratic programming problem solved on-line at each sampling instant. It is a computationally robust and fast optimization problem, which is important for on-line applications. Stability is achieved by appropriate introduction of dual-mode type stabilization mechanisms, which are simple and easy to implement. The effectiveness of the proposed approach is tested on a control system of a nonlinear plant-a distillation column with basic feedback controllers.

How to cite

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Piotr M. Marusak, and Piotr Tatjewski. "Effective dual-mode fuzzy DMC algorithms with on-line quadratic optimization and guaranteed stability." International Journal of Applied Mathematics and Computer Science 19.1 (2009): 127-141. <http://eudml.org/doc/207914>.

@article{PiotrM2009,
abstract = {Dual-mode fuzzy dynamic matrix control (fuzzy DMC-FDMC) algorithms with guaranteed nominal stability for constrained nonlinear plants are presented. The algorithms join the advantages of fuzzy Takagi-Sugeno modeling and the predictive dual-mode approach in a computationally efficient version. Thus, they can bring an improvement in control quality compared with predictive controllers based on linear models and, at the same time, control performance similar to that obtained using more demanding algorithms with nonlinear optimization. Numerical effectiveness is obtained by using a successive linearization approach resulting in a quadratic programming problem solved on-line at each sampling instant. It is a computationally robust and fast optimization problem, which is important for on-line applications. Stability is achieved by appropriate introduction of dual-mode type stabilization mechanisms, which are simple and easy to implement. The effectiveness of the proposed approach is tested on a control system of a nonlinear plant-a distillation column with basic feedback controllers.},
author = {Piotr M. Marusak, Piotr Tatjewski},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {nonlinear systems; fuzzy systems; model predictive control; stability; constrained control; dual-mode control},
language = {eng},
number = {1},
pages = {127-141},
title = {Effective dual-mode fuzzy DMC algorithms with on-line quadratic optimization and guaranteed stability},
url = {http://eudml.org/doc/207914},
volume = {19},
year = {2009},
}

TY - JOUR
AU - Piotr M. Marusak
AU - Piotr Tatjewski
TI - Effective dual-mode fuzzy DMC algorithms with on-line quadratic optimization and guaranteed stability
JO - International Journal of Applied Mathematics and Computer Science
PY - 2009
VL - 19
IS - 1
SP - 127
EP - 141
AB - Dual-mode fuzzy dynamic matrix control (fuzzy DMC-FDMC) algorithms with guaranteed nominal stability for constrained nonlinear plants are presented. The algorithms join the advantages of fuzzy Takagi-Sugeno modeling and the predictive dual-mode approach in a computationally efficient version. Thus, they can bring an improvement in control quality compared with predictive controllers based on linear models and, at the same time, control performance similar to that obtained using more demanding algorithms with nonlinear optimization. Numerical effectiveness is obtained by using a successive linearization approach resulting in a quadratic programming problem solved on-line at each sampling instant. It is a computationally robust and fast optimization problem, which is important for on-line applications. Stability is achieved by appropriate introduction of dual-mode type stabilization mechanisms, which are simple and easy to implement. The effectiveness of the proposed approach is tested on a control system of a nonlinear plant-a distillation column with basic feedback controllers.
LA - eng
KW - nonlinear systems; fuzzy systems; model predictive control; stability; constrained control; dual-mode control
UR - http://eudml.org/doc/207914
ER -

References

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