Anti-windup based state feedback controller design for constrained T-S systems

This paper discussed an anti-windup (AW) strategy for Takagi-Sugeno (T-S) systems that are subject to input saturation. Different from some existing methods which have to set a state feedback controller first to keep systems table in the linear region of actuator and then design an AW compensator to...

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Bibliographic Details
Published inChinese Control Conference pp. 1214 - 1218
Main Authors Zha, Miao, He, Hanlin, Ju, Kaizhong
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, Chinese Association of Automation 01.07.2019
Subjects
Anti windup
Linear matrix inequalities
LMI
Lyapunov
Nonlinear systems
Null space
Stability
Stability analysis
State feedback
Symmetric matrices
T-S model
Takagi-Sugeno model
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ISSN1934-1768
DOI10.23919/ChiCC.2019.8865857

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Summary:This paper discussed an anti-windup (AW) strategy for Takagi-Sugeno (T-S) systems that are subject to input saturation. Different from some existing methods which have to set a state feedback controller first to keep systems table in the linear region of actuator and then design an AW compensator to guarantee system stable when saturate. This paper designed a method that can simultaneously design the state feedback controller and its anti-windup compensator. Based on Lyapunov theory, the stable condition is built using null space of the known matrix. A sufficient stable condition is given in the form of linear matrix inequalities (LMIs). The effectiveness of the proposed method is tested with an example.
ISSN:1934-1768
DOI:10.23919/ChiCC.2019.8865857