Stability of Fuzzy Descriptor Systems with Uncertain Parameters Based on Fuzzy Lyapunov Method

In this paper, the problems of stability and stabilization of fuzzy descriptor systems with uncertain parameters are discussed. To solve these problems, some new sufficient conditions for the stability and stabilization of the considered system are proposed by using fuzzy Lyapunov methods. Putting the interactions among the subsystems into consideration, the obtained conditions are not only simple but also more relaxed. The feedback controller is designed based on a set of LMIs (linear matrix inequalities).