One Step Anti-Windup Based State Feedback Controller Design for Constrained T-S Systems

This paper proposes an LMI-based method to guarantee the closed-loop regional stability for the state feedback control of Takagi - Sugeno systems that are subject to input saturation and state constraints. Based on the Lyapunov stability analysis, a bi-linear stabilization criterion is proposed, whi...

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Bibliographic Details
Published inChinese Control Conference pp. 1342 - 1348
Main Authors Ju, Kaizhong, He, Hanlin, Zha, Miao
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, Chinese Association of Automation 01.07.2018
Subjects
Antiwindup
Control systems
Linear matrix inequalities
Linear matrix inequality (LMI)
Lyapunov
Lyapunov methods
Schur lemma
stability
Stability criteria
State feedback
T-S model
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ISSN1934-1768
DOI10.23919/ChiCC.2018.8484183

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Summary:This paper proposes an LMI-based method to guarantee the closed-loop regional stability for the state feedback control of Takagi - Sugeno systems that are subject to input saturation and state constraints. Based on the Lyapunov stability analysis, a bi-linear stabilization criterion is proposed, which can be changed into LMI criterion based on congruent transformation. The proposed method provides conditions to simultaneously design the state feedback controller and its anti-windup compensator. The effectiveness of the proposed method is illustrated with the chaotic Lurie system control.
ISSN:1934-1768
DOI:10.23919/ChiCC.2018.8484183