基于模糊方法的非线性系统的可保性能设计

针对T-S模糊不确定系统，采用模糊Lyapunov函数方法和单一Lyapunov函数方法建立了模糊不确定系统的鲁棒稳定的充分判据和系统可保性能设计方法．在系统初始状态未知，但属于一个有界闭区域时，提出了系统的区域可保性能的概念．针对两类有界闭区域：凸包区域、椭圆型区域，给出了系统的区域可保性能的计算公式．通过数字例子说明了所给出的设计方法的有效性．

Guaranteed Cost Design Based on Fuzzy Method for Nonlinear Uncertain Systems

By fuzzy Lyapunov function approach and single Lyapunov function approach,an existential condition of robust stability and a design method of the guaranteed cost for T-S fuzzy uncertain systems are presented.Since initial state is usually unknown,it is assumed that initial state is belonged to the bounded closed domain,a notion of the domain guaranteed cost for the systems is proposed.For two classes of initial state domain,i.e.,polygon domain and ellipsoid domain,some formulas for the domain guaranteed costs are obtained.The efficiency of the proposed design metholology is demonstrated through a numeric example.