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This study deals with guaranteed cost control problem for discrete time nonlinear systems with parameter uncertainties. The Takagi and Sugeno (T-S) fuzzy model with parameter uncertainties is employed to represent an uncertain discrete time nonlinear system. Based on the structural information in rule base, a piecewise output feedback controller design method is introduced. Sufficient condition for...
Based on Takagi-Sugeno fuzzy model, this paper adopts the piecewise fuzzy Lyapunov function into the analysis of nonlinear discrete systems with parametric uncertainties. Firstly, a new sufficient condition to check the stability of closed-loop discrete T-S fuzzy systems is proposed after the definition of a discrete piecewise fuzzy Lyapunov function. This condition only needs to satisfy the condition...
This paper deals with the guaranteed cost control of a class of Takagi-Sugeno (T-S) fuzzy systems with norm-bounded parametric uncertainties via the piecewise quadratic Lyapunov function (PQLF). A linear quadratic cost function is considered as a performance index of closed-loop fuzzy systems. Then, based on the PQLF approach, a robust optimal guaranteed cost control law for stabilization of closed-loop...
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