Robust stabilization of T–S fuzzy discrete systems with actuator saturation via PDC and non-PDC law

In this paper, the problem of robust stabilization of T–S fuzzy discrete systems with actuator saturation is studied. A set invariance condition is established as a null controllable region. The robust stabilization results of the closed-loop T–S fuzzy system have a domain of attraction which is arb...

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Bibliographic Details
Published inNeurocomputing (Amsterdam) Vol. 168; pp. 418 - 426
Main Authors Zhao, Ling, Li, Li
Format Journal Article
LanguageEnglish
Published Elsevier B.V 30.11.2015
Subjects
Actuator saturation
Linear matrix inequality
Robust control
Stability analysis
T–S fuzzy system
Robust control
Linear matrix inequality
T–S fuzzy system
Stability analysis
Actuator saturation
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Summary:In this paper, the problem of robust stabilization of T–S fuzzy discrete systems with actuator saturation is studied. A set invariance condition is established as a null controllable region. The robust stabilization results of the closed-loop T–S fuzzy system have a domain of attraction which is arbitrarily close to the null controllable region. The problem of estimating the domain of attraction of the T–S fuzzy closed-loop systems is formulated and solved as an optimization problem. By using parameter-dependent Lyapunov function, both parallel-distributed compensation (PDC) control law and non-parallel-distributed compensation control law are designed. And there is less conservative by using non-PDC law than using PDC law to control the uncertain discrete-time T–S fuzzy system with actuator saturation. A numerical example is provided to illustrate the effectiveness of the proposed design techniques.
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2015.05.085