Stability analysis and design of Takagi–Sugeno fuzzy systems

Fuzzy Control Systems: LMI-Based Design

“…One important advantage of using such a method for control design is that the closed-loop stability analysis, using the Lyapunov method, becomes easier to apply. Various stability conditions have been proposed for such systems (Tanaka &Wang, 2001), (Ting, 2006), where the existence of a common solution to a set of Lyapunov equations is shown to be sufficient for guaranteeing the closed-loop stability. Some relaxed conditions are also proposed in (Kim & Lee, 2000;Ding et al, 2006;Fang et al, 2006, Tanaka & Ikeda, 1998.…”

Stability and robustness of fuzzy adaptive control of nonlinear systems

“…To solve this problem, since the integration of the FC in the control laws of the systems, several researchers tried to develop practical methods for the study of systems stability [2,4,5,10,15,40]. In their studies, the majority of these researchers used, for the modeling and the control of the nonlinear systems, the TSK fuzzy inference which system.…”

Energy-to-peak control for a class of discrete stochastic fuzzy systems with time-delay

“…Recently, the Takagi-Sugeno (T-S) fuzzy model has been proved to be a well-established and convenient tool to deal with the problem of the nonlinear systems. Various issues related to the stability analysis and synthesis for the T-S fuzzy systems have been reported in recent years, see [1][2][3][4] and references therein. For example, The relaxed stabilization conditions for fuzzy control systems in [5] were reported to relax the conservatism of the conventional conditions.…”