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Based on recent results on Sum of Squares (SOS) to polynomial theory, we address exact relaxation to quadratic stability arisen from stability analysis and controller synthesis in the fuzzy control systems represented by TS models. In this paper, we show how to characterize the exact solution to the quadratic stability and by approximating the cone of copositive matrices via SOS that is solvable by...
A new stability condition in terms of LMIs is studied in this paper. Based on a premise-dependent Lyapunov function and multiconvexity, we release the conservatism that commonly exists in the common P approach. Comparison studies for common P and non-common P methods are demonstrated, showing relaxation is achieved via the proposed approach.
In this paper, sufficient LMI conditions for the Hinfin state feedback control synthesis of fuzzy control systems consisting of Takagi-Sugeno fuzzy models are proposed for continuous fuzzy systems. Based on a premise-dependent Lyapunov function, we release the conservatism that commonly exists in the common P approach. Particularly, the restriction embedded in continuous-time systems on derivative...
This paper deals with the stability analysis and the stabilization control law for a class of discrete Takagi-Sugeno (T-S) fuzzy systems with both state and input delays. Based on the nonquadratic Lyapunov function constructed here, the stability analysis and the design way of stabilization control law are derived in the form of linear matrix inequality (LMI) via a nonparallel distributed compensation...
This paper deals with the stability analysis and stabilization of a class of Takagi-Sugeno (T-S) fuzzy systems via piecewise fuzzy Lyapunov function approach. The piecewise fuzzy Lyapunov function is proposed by utilizing the structure information of the rule premise. Based on this function approach, sufficient conditions for stabilization of both open-loop fuzzy systems and closed-loop fuzzy systems...
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