Predefined-Time Event-Triggered Adaptive Tracking Control for Switched Nonlinear Systems With Constraints Related to Full States

Abstract

This article proffers a predefined-time (PDT) event-triggered (ET) adaptive tracking control strategy for a class of switched nonlinear systems (SNSs) with constraints related to full states. To overcome the challenge of unknown output hysteresis, the Bouc–Wen model is introduced. Subsequently, a batch of tangent barrier Lyapunov functions ($\tan$-BLFs) is formulated to prevent states from breaching constraint boundaries, which depend on the full states and time. The adaptive PDT ET controller, incorporating a switching threshold, is structured to ensure satisfactory system performance while conserving communication resources. By employing the average dwell time technique and the Lyapunov stability theory, it is demonstrated that under an average dwell time condition, all signals of the closed-loop system remain bounded. Furthermore, the system output can track the desired signal effectively within the expected settling time, with the tracking error converging to a small set around the origin, and the states staying within the specified boundaries. Ultimately, the efficacy of the proposed control strategy is verified through two case studies.