An improved controller design for fuzzy systems with time-delay

In this paper, the problem of controller design for a class of T-S fuzzy systems with time-varying delay is considered. The stability condition with adjustable parameter is derived by introducing a parameter into the inequality which occurred in the proof. And then, the sufficient conditions with adjustable parameter for the existence of feedback gains are derived in the form of linear matrix inequalities. The feedback gain is different when the adjustable parameter take different values, therefore, the dynamic performance of the closed-loop systems is also different. Lastly, an illustrative example is given to show the effectiveness of the proposed method.