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 and Shoulie Xie

International Journal of Systems Science, 2025, vol. 56, issue 16, 4016-4034

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.

Date: 2025
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DOI: 10.1080/00207721.2025.2482002

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