Fuzzy modal time-scheduled control and L2-gain analysis for switched nonlinear systems

Abstract

This paper concerns the fuzzy modal time-scheduled control problem for switched nonlinear systems with $L_2$-gain performance. Combined with the hybrid dwell time method, we propose a switched fuzzy modal time-scheduled control (FMTSC) strategy, and establish a criterion for $H_{\infty }$ performance in systems comprising both unstable and stable subsystems. Meanwhile, we further develop a class of time-scheduled multiple discontinuous Lyapunov functions (TMDLFs) for the switched Takagi-Sugeno (T-S) fuzzy system with $L_2$-gain property. Finally, comparative and practical examples are provided to demonstrate the validity of derived theoretical result.