Stabilization of nonlinear delayed systems subject to impulsive disturbance via aperiodic intermittent control

• Published in: Journal of the Franklin Institute Vol. 361; no. 6; p. 106675
• Main Authors: Wang, Yinuo, Li, Chuandong, Wu, Hongjuan, Deng, Hao
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.04.2024
• Subjects: Aperiodic intermittent control; Event-triggered control; Impulsive disturbance; Nonlinear delayed systems; Stabilization analysis; Stabilization analysis; Impulsive disturbance; Aperiodic intermittent control; Event-triggered control; Nonlinear delayed systems
• ISSN: 0016-0032; 1879-2693
• DOI: 10.1016/j.jfranklin.2024.106675

In this paper, the finite-time stabilization (FS) of nonlinear delayed systems subject to impulsive disturbance is addressed via designing an aperiodic intermittent control (APIC), which can be segmented into time-triggered intermittent control (TAPIC) and event-triggered intermittent control (EAPIC). On account of Lyapunov method, sufficient conditions are exhibited to render FS can be achieved. Under TAPIC, the relationship between impulsive disturbance and control parameters is set up, from which the impulsive instants and the width of each control period can be resolved. In the framework of finite-time stabilization, the relationship among impulsive disturbance, intermittent control parameters, threshold value of event-triggered mechanism (ETM) under EAPIC is built up to ensure FS, and the sequence of impulsive disturbance instants is generated by the pre-designed ETM. Besides, the Zeno phenomenon can be ruled out. Based on the Chua’s oscillator with time delay, two examples are depicted to demonstrate the validity of the acquired results under TAPIC and EAPIC, respectively. •Relationship between impulsive disturbance and control parameters under TAPIC.•Stabilization of nonlinear delayed systems by combining EC with APIC.•Relationship among finite-time interval, disturbance and ETM under EAPIC.•The phenomenon of Zeno is excluded in EAPIC.•Delayed dynamical systems, FS, APIC and disturbance are combined simultaneously.