Slack stability analysis of a class of switched fuzzy systems

A model of the switched fuzzy systems whose subsystems are fuzzy systems is presented. A slack stabilizability condition for the existence of state feedback controllers and the switching law for a class of switched fuzzy systems are proposed based on multiple Lyapunov function technique. The proposed method overcomes the difficulty of solving a common matrix P by parallel distributed compensation with a large number of fuzzy rules. The main condition is given in form of LMI which are more solvable. The elaborated illustrative examples of air regulating system and the respective simulation experiments demonstrate the effectiveness of the proposed method.