Efficient LMI conditions for enhanced stabilization of discrete-time Takagi-Sugeno models via delayed nonquadratic Lyapunov functions
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Universidade Federal de Minas Gerais
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This paper is concerned with the reduction of conservatism on stabilization conditions of discrete-time Takagi-Sugeno fuzzy models via delayed nonquadratic Lyapunov functions. A fruitful approach recently appeared in the literature, which, despite its benefits, dramatically increases the number of linear matrix inequalities needed to synthesize a controller. The two sets of sufficient conditions hereby proposed tackle this numerical problem while reducing conservatism and increasing the stabilization domain of existing conditions in literature, as illustrated in several examples.
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Engenharia Mecânica, Matemática, Controle de Processos, Inteligência Artificial, Modelos fuzzy Takagi-Sugeno
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Discrete-time Takagi–Sugeno (T–S) fuzzy models, Delayed controller, Lyapunov Function , Linear Matrix Inequalities , Linear Matrix Inequality Conditions , TakagiSugeno Model , Non-quadratic Lyapunov Function , Sufficient Conditions , Stability Conditions , Fuzzy Model , State Of The Literature , Discrete-time Model , Optimal Control , Numerical Examples , Convex Optimization , Lyapunov Function Candidate , Multiset , Closed-loop Dynamics , Symmetric Block , Premise Variables, Linear matrix inequalities (LMIs), Nonquadratic Lyapunov functions, Stabilization
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https://ieeexplore.ieee.org/document/8607042