The Lmi In A Class Of Fuzzy Control System Stability Analysis

In this paper, it is studied to use Linear Matrix Inequality (LMI) in fuzzy control field. As a convex method, LMI becomes more and more important in control field. First, this paper summarizes characteristics and uses of LMI. Then this paper concludes the methods in analyzing stability of fuzzy system. At last, this paper is concerned with the quadratic stability conditions of T-S fuzzy control systems that relax the existing conditions. New approaches to relaxed quadratic stability and stability conditions of fuzzy control systems are suggested. The new approaches relaxed the conservatism of the previous works by considering the interactions among the fuzzy subsystems hi a matrix and solving it via linear matrix inequalities. The examples and simulations can demonstrate the efficiency of the new approaches.