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Based on T-S fuzzy model, piecewise fuzzy Lyapunov function (PFLF) is adopted in the analysis of the stability of the a class of uncertainty nonlinear systems by defining the fuzzy Lyapunov function in each overlapping rules. The PFLF makes use of the premise of rules and the membership functions of the system. The sufficient condition is expressed with LMI on stability and performance of nonlinear...
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 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...
This paper deals with the chaos phenomenon of permanent magnet synchronous motor (PMSM). The Takagl-Sugeno (T-S) fuzzy model of PMSM chaos system is built. Based on the fuzzy Lyapunov function approach, a robust optimal guaranteed cost controller is designed in the form of linear matrix inequality (LMI). Thus the chaos of PMSM with parametric uncertainties is eliminated. The simulation result shows...
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