Dissipativity analysis for Takagi–Sugeno fuzzy system with time-varying delays and stochastic packet dropouts

Abstract

The dissipative stability analysis of Takagi–Sugeno fuzzy system (TSFS) is the focus of this paper via taking the effects of both delays and packet dropouts. The novel augmented Lyapunov–Krasovskii functional (LKF) is proposed via utilizing the delay-dependent matrix, which provides the information of the delay derivative bounds. By applying the dynamic delay partition method, the delay interval is divided into several variable subintervals, which takes full advantage of time-varying delay information. In addition, the randomly occurring asynchronous or synchronous controllers are put forward to enhance the design flexibility and control performance. On the basis of the new augmented LKF and improved boundary techniques, the sufficient asymptotic stability condition is derived in the form of linear matrix inequalities (LMIs). Subsequently, numerical examples are addressed to certify the feasibility and advantage of the put forward methodology.