Quadratic Stability Study for a Class of T-S Fuzzy Descriptor Systems
Ding Zhai · Journal of Northeastern University · 2004
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.