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This paper deals with the disturbance of nonlinear Takagi-Sugeno (T-S) fuzzy system. Based on piecewise fuzzy Lyapunov function and LMI method, the systematic design procedures were given and the sufficient conditions for closed-loop system stability were derived and the parameters design method of gamma-superior Hinfin controller for closed-loop system was provided. Simulation results show the effectiveness...
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...
Considering the nonlinearity characteristic of buck-boost converter and combining with the fine part-linear characteristic of T-S fuzzy model, a novel T-S fuzzy model of buck-boost converter is proposed in this paper. Based on the constructed model, a parametrical design method of the buck-boost converter fuzzy controller is put forward via QLF method. And the parameters of controller can be obtained...
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 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...
This paper adopts the fuzzy Lyapunov stability theory into the analysis and design of a class of Takagi-Sugeno fuzzy systems with parametric uncertainties. The problem of designing a guaranteed cost controller is studied by formulating the fuzzy Lyapunov function of the fuzzy system, the sufficient conditions are derived by using the parallel distributed compensation (PDC) strategy. The simulation...
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