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Journal Articles IEEE Transactions on Cybernetics Year : 2015

Controller Design for TS Models Using Delayed Nonquadratic Lyapunov Functions

Abstract

In the last few years, nonquadratic Lyapunov functions have been more and more frequently used in the analysis and controller design for Takagi-Sugeno fuzzy models. In this paper, we developed relaxed conditions for controller design using nonquadratic Lyapunov functions and delayed controllers and give a general framework for the use of such Lyapunov functions. The two controller design methods developed in this framework outperform and generalize current state-of-the-art methods. The proposed methods are extended to robust and H ∞ control and α-sample variation.
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Dates and versions

hal-03428900 , version 1 (15-11-2021)

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Zsofia Lendek, Thierry-Marie Guerra, Jimmy Lauber. Controller Design for TS Models Using Delayed Nonquadratic Lyapunov Functions. IEEE Transactions on Cybernetics, 2015, 45 (3), pp.453-464. ⟨10.1109/TCYB.2014.2327657⟩. ⟨hal-03428900⟩
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