Adaptive finite-time control for non-strict feedback nonlinear systems with infinite number of time-varying actuator failures and output constraints

Abstract

This paper presents an adaptive finite-time fault-tolerant control strategy for non-strict feedback nonlinear systems, addressing infinite time-varying actuator faults and output constraints. It introduces a fuzzy adaptive updating law to compensated actuator faults and uses a barrier Lyapunov function (BLF) to handle output constraints in both constrained and unconstrained systems. The method integrates adaptive backstepping and fuzzy logic to manage non-strict feedback challenges and incorporates projection adaptation techniques. The approach incorporates projection adaptation design techniques in its scheme. The controller designed through this method not only ensures finite-time convergence of the system’s output tracking error to the origin but also guarantees compliance with output constraints, even in the face of potentially infinite time-varying actuator failures. The efficacy of this proposed method is corroborated by simulation examples, showcasing its proficiency in managing both actuator faults and output constraints.