Stability Analysis and Guaranteed Cost Design of Fuzzy Systems via Piecewise Fuzzy Lyapunov Function Approach
基于分段模糊Lyapunov函数的模糊系统稳定性分析和保性能设计

This paper deals with the stability analysis and guaranteed cost design of a class of Takagi-Sugeno(T-S)fuzzy systems.Based on the structure information of the premise rule base,a new Lyapunov function called piecewise fuzzy Lya- punov function(PFLF)is proposed by combining the fuzzy Lya- punov function(FLF)and piecewise quadratic Lyapunov func- tion(PQLF).A new parallel distributed compensation(PDC) controller is also presented.Based on the PFLF approach,a stability analysis and guaranteed cost control design method is derived in the form of linear inequality matrix(LMI).This method inherits the advantage of FLF and PQLF.Simulation results show that the stability analysis of this method is more relaxed in addition to the much better guaranteed cost control performance.