Stabilization of Switched Fuzzy Systems via Stabilizing Switching-Dependent ADT Method

This article is concerned with the stabilization problem of switched Takagi–Sugeno fuzzy systems via the stabilizing switching behavior. Different from the situations considered in the existing literature, the stabilizing-switching-dependent average dwell-time method is applied to break through the limitation of the noncoexistence of dwell-time-dependent and dwell-time-independent destabilizing switching behavior. Then, the stability criteria are established by balancing the state divergence produced from the unstable mode and destabilizing switching behavior through the stabilizing switching behavior. The obtained results are suitable for the situation where all modes are unstable and applied to the design of the state feedback controller. The designed controller relaxes the stabilization assumption for the mode of the fuzzy system. Finally, the simulation illustrates the feasibility and superiority of the proposed method.