State feedback control of continuous-time T-S fuzzy systems via switched fuzzy controllers
Information Sciences: an International Journal
Robust H∞ control of uncertain fuzzy systems under time-varying sampling
Fuzzy Sets and Systems
Robust H∞ control for Van de Vusse reactor via T-S fuzzy bilinear scheme
Expert Systems with Applications: An International Journal
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In this paper, we investigate the problem of robust H∞ performance and stabilization for a class of uncertain fuzzy systems with Frobenius norm-bounded parameter uncertainties in all system matrices. Both continuous- and discrete-time uncertain fuzzy systems are considered under a unified treatment called bounded real lemma for fuzzy systems. Unlike the bounded real lemma in the linear theory of robust H∞ control where necessary and sufficient conditions were obtained, only sufficient condition based on Lyapunov method is shown. Furthermore, connection between robust H∞ problems involving uncertainty and standard uncertainty-free H∞ problems is established via matrix algebra. As for controller synthesis, a state feedback fuzzy control law is designed via relaxed linear matrix inequality (LMI) formulations.