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Simultaneous Design of Parallel Distributed Output Feedback and Anti-windup Compensators for Constrained Takagi-Sugeno Fuzzy Systems

Abstract : This paper is devoted to develop a novel approach dealing with constrained continuous-time nonlinear systems in the formof Takagi-Sugeno fuzzy models. Here, the disturbed systems are subject to both input and state constraints. The one-step designmethod is used to simultaneously synthesize the dynamic output feedback controller and its anti-windup strategy. A parameter-dependent version of the generalized sector condition is used together with Lyapunov stability theory to derive LMI designconditions. Based on this result and for different design specifications, the synthesis of an anti-windup based dynamic outputfeedback controller is expressed on the form of convex optimization problems. A physically motivated example is given toillustrate the effectiveness of the proposed method
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Submitted on : Friday, November 12, 2021 - 6:18:03 PM
Last modification on : Saturday, November 13, 2021 - 3:53:31 AM

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Tran Anh-Tu Nguyen, Michel Dambrine, Jimmy Lauber. Simultaneous Design of Parallel Distributed Output Feedback and Anti-windup Compensators for Constrained Takagi-Sugeno Fuzzy Systems. Asian Journal of Control, Asian Control Association (ACA) and Chinese Automatic Control Society (CACS) 2016, 18 (5), pp.1641-1654. ⟨10.1002/asjc.1288⟩. ⟨hal-03426993⟩

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