Event-triggered prescribed time adaptive fuzzy control for high-order nonlinear switched systems subject to bounded disturbances and time-varying all-state constraints
Jixin Ding, Sen Zhang, Wendong Xiao, Qingkun Yu, Shoulie Xie
Abstract
This article investigates the problem of event-triggered prescribed-time adaptive fuzzy control for high-order nonlinear switched systems. By integrating the backstepping design framework with the theory of barrier Lyapunov functions (BLFs), the prescribed-time control method is extended to high-order nonlinear switched systems under average dwell-time (ADT) switching rules. Additionally, a novel event-triggered strategy is proposed which contains a decreasing function related to the tracking accuracy of the system. This approach significantly reduces the communication burden while avoiding the Zeno phenomenon. The designed prescribed-time control strategy ensures that all signals within the closed-loop system remain bounded, that all states adhere to the corresponding constraints, and that the tracking accuracy converges to a predefined range within a specified time. Finally, the proposed method is validated through simulations using a mass-spring-damper system.