一类T-S广义模糊系统二次稳定性问题的研究

Quadratic Stability Study for a Class of T-S Fuzzy Descriptor Systems

基于模糊极值子系统的思想,研究了一类T S广义模糊系统的二次稳定性与非线性模糊控制器设计的问题·首先给出了模糊极值子系统的定义,将模糊系统的二次稳定性问题转化为其模糊极值子系统的二次稳定性问题的分析与研究·然后利用模糊极值子系统给出了模糊广义系统二次稳定的一个充分必要条件,最后通过两个新条件将充分必要条件中的精确上界条件减弱为近似上界,从而放宽了对充分必要条件的限制·

Based on the fuzzy descriptor extreme subsystems, the problems of quadratic stability analysis and nonlinear fuzzy state feedback controller design for a class of continuous-time T-S fuzzy descriptor systems are studied with the fuzzy systems by which the problems of quadratic stability analysis and nonlinear fuzzy controller design for a class of continuous-time T-S fuzzy descriptor systems can be converted into those of quadratic stability and nonlinear fuzzy controller design for its fuzzy descriptor extreme subsystems. A sufficient and necessary condition is given. Then two new stability conditions are proved,through which the accurate upper bound in the sufficient and necessary condition are weakened and become approximate ones so as to relax somewhat the restriction due to the sufficient and necessary condition.