Takagi-Sugeno模糊控制系统稳定性的充要条件的逼近  

Approximation of the necessary and sufficient conditions for stability of Takagi-Sugeno fuzzy control systems

作　　者：丁宝苍[1] 胡友强[1] 罗小锁[1] 柴毅[1] 

机构地区：[1]重庆大学自动化学院,重庆400044

出　　处：《重庆大学学报（自然科学版）》2010年第2期28-35,共8页Journal of Chongqing University

基　　金：国家自然科学基金资助项目(60874046;60504013);重庆市自然科学基金资助项目(CSTC2008BB2049)

摘　　要：分析了Takagi-Sugeno(T-S)模糊控制稳定性,其中Lyapunov函数包括公共二次型Lyapunov函数、分段二次型Lyapunov函数、模糊Lyapunov函数、非二次型Lyapunov函数、齐次多项式型Lyapunov函数,控制律包括并行分布补偿控制律、非并行分布补偿控制律和齐次多项式型参数化控制律。基此,通过采用Polya定理、齐次多项式技术等,给出T-S模糊控制的稳定性的充要条件的逼近方法。An extensive analysis on the existing results for the stability of Takagi-Sugeno fuzzy control is given. For the Lyapunov functions, the common quadratic Lyapunov functions, piecewise quadratic Lyapunov functions, fuzzy Lyapunov functions, nonquadratic Lyapunov functions and homogenously polynomially parameterized Lyapunov functions are considered. For the control laws, the parallel distributed compensation laws, non-parallel distributed compensation laws and homogenously polynomially parameterized control laws are considered. Based on the analysis, by applying the Polya＇s theorem and the techniques for homogenous polynomials, the approaches for approximating the necessary and sufficient conditions for stability of T-S fuzzy control are given.

关 键 词：模糊控制 稳定性 LYAPUNOV方法 充要条件 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]