Fuzzy Fault-Tolerant Controller Design for Switched Nonlinear Systems via Mode-Dependent Average Dwell Time Scheme

In this manuscript, we focus on the development of a fuzzy fault-tolerant control strategy for switched nonlinear systems (SNSs) utilizing the mode-dependent average dwell time (MDADT) technique. Distinguished from previous studies, our approach introduces an innovative concept, the Lyapunov–Krasovskii functional (LKF), which is dependent on membership functions for nonlinear systems. This pioneering technique incorporates membership function derivatives through a switching mechanism, leading to the formulation of a fuzzy fault-tolerant controller. This controller is designed to establish stabilization conditions for SNSs, utilizing the proposed LKF scheme to ensure globally uniform exponential stability (GUES) through the application of linear matrix inequalities (LMI). To demonstrate the practical applicability and effectiveness of our proposed controller scheme, we provide a numerical example for validation purposes.