Robust H∞ control with pole placement constraints for T-S fuzzy systems

Liang He; Guang Ren Duan

doi:10.1007/11739685_36

Robust H_∞ control with pole placement constraints for T-S fuzzy systems

Liang He^*
, Guang Ren Duan

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

This paper addresses the problem of designing a robust fuzzy controller for a class of uncertain fuzzy system with H_∞ optimization and D-stability constraints on the closed-loop pole locations. Takagi and Sugeno (T-S) fuzzy models are used for the uncertain nonlinear systems. By utilizing the concept of the so-called parallel distributed compensation (PDC) method, solutions to the problem are derived in terms of a family of linear matrix inequalities and are numerically tractable via LMI techniques.

Original language	English
Title of host publication	Advances in Machine Learning and Cybernetics - 4th International Conference, ICMLC 2005, Revised Selected Papers
Publisher	Springer Verlag
Pages	338-346
Number of pages	9
ISBN (Print)	3540335846, 9783540335849
DOIs	https://doi.org/10.1007/11739685_36
State	Published - 2006
Event	4th International Conference on Machine Learning and Cybernetics, ICMLC 2005 - Guangzhou, China Duration: 18 Aug 2005 → 21 Aug 2005

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3930 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	4th International Conference on Machine Learning and Cybernetics, ICMLC 2005
Country/Territory	China
City	Guangzhou
Period	18/08/05 → 21/08/05

Access to Document

10.1007/11739685_36

Cite this

He, L., & Duan, G. R. (2006). Robust H_∞ control with pole placement constraints for T-S fuzzy systems. In Advances in Machine Learning and Cybernetics - 4th International Conference, ICMLC 2005, Revised Selected Papers (pp. 338-346). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3930 LNAI). Springer Verlag. https://doi.org/10.1007/11739685_36

He, Liang ; Duan, Guang Ren. / Robust H_∞ control with pole placement constraints for T-S fuzzy systems. Advances in Machine Learning and Cybernetics - 4th International Conference, ICMLC 2005, Revised Selected Papers. Springer Verlag, 2006. pp. 338-346 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Robust H∞ control with pole placement constraints for T-S fuzzy systems",

abstract = "This paper addresses the problem of designing a robust fuzzy controller for a class of uncertain fuzzy system with H∞ optimization and D-stability constraints on the closed-loop pole locations. Takagi and Sugeno (T-S) fuzzy models are used for the uncertain nonlinear systems. By utilizing the concept of the so-called parallel distributed compensation (PDC) method, solutions to the problem are derived in terms of a family of linear matrix inequalities and are numerically tractable via LMI techniques.",

author = "Liang He and Duan, \{Guang Ren\}",

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He, L & Duan, GR 2006, Robust H_∞ control with pole placement constraints for T-S fuzzy systems. in Advances in Machine Learning and Cybernetics - 4th International Conference, ICMLC 2005, Revised Selected Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3930 LNAI, Springer Verlag, pp. 338-346, 4th International Conference on Machine Learning and Cybernetics, ICMLC 2005, Guangzhou, China, 18/08/05. https://doi.org/10.1007/11739685_36

Robust H_∞ control with pole placement constraints for T-S fuzzy systems. / He, Liang; Duan, Guang Ren.
Advances in Machine Learning and Cybernetics - 4th International Conference, ICMLC 2005, Revised Selected Papers. Springer Verlag, 2006. p. 338-346 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3930 LNAI).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - This paper addresses the problem of designing a robust fuzzy controller for a class of uncertain fuzzy system with H∞ optimization and D-stability constraints on the closed-loop pole locations. Takagi and Sugeno (T-S) fuzzy models are used for the uncertain nonlinear systems. By utilizing the concept of the so-called parallel distributed compensation (PDC) method, solutions to the problem are derived in terms of a family of linear matrix inequalities and are numerically tractable via LMI techniques.

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He L, Duan GR. Robust H_∞ control with pole placement constraints for T-S fuzzy systems. In Advances in Machine Learning and Cybernetics - 4th International Conference, ICMLC 2005, Revised Selected Papers. Springer Verlag. 2006. p. 338-346. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11739685_36