Event-triggered and self-triggered impulsive control for two-time-scale systems. (May 2023)

• Record Type: Journal Article
• Authors: Yu, Tian-tian; Wang, Yan-wu; Lei, Yan; Liu, Xiao-kang; Liu, Zhi-wei
• Is Part Of: Nonlinear analysis. Volume 48(2023)
• Publication Date: 2023-05
• Subjects: Two-time-scale system -- Stability -- Event-triggered impulsive control -- Self-triggered impulsive control -- Interconnected systems; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2022.101309
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper studies the stability problem of two-time-scale system via event-triggered impulsive control and self-triggered impulsive control. The overall system is modeled with the hybrid formalism. Two Chang transformations are introduced to completely decouple the hybrid system states into flow set and jump set. A composite impulsive controller based on slow and fast system states is proposed, under which the slow and fast subsystems are simultaneously triggered by event-triggered and self-triggered mechanism, respectively. As a result, the stability conditions are derived for the system under event-triggered and self-triggered impulsive control, respectively. Furthermore, the theoretical result of self-triggered impulsive control is applied to the consensus of the interconnected two-time-scale systems. Finally, simulation examples and comparison study show the effectiveness of the proposed control strategies.