期刊
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
卷 52, 期 9, 页码 5434-5442出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2021.3124998
关键词
Switches; Switched systems; Stability criteria; Lyapunov methods; Symmetric matrices; Indexes; Topology; Event-triggered impulsive control (ETIC); finite-time contractive stability (FTCS); finite-time stability (FTS); mode-dependent; switched systems
资金
- National Natural Science Foundation of China [62173215]
- Major Basic Research Program of the Natural Science Foundation of Shandong Province in China [ZR202105090005]
- Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions [2019KJI008]
This article investigates the event-triggered finite-time stabilization problem of nonlinear switched systems with indefinite time derivatives of Lyapunov functions. A novel mode-dependent event-triggered mechanism is proposed to efficiently avoid Zeno behavior, along with Lyapunov-based criteria for finite-time stability and finite-time contractive stability. The effectiveness of the proposed strategies is illustrated through two examples.
This article studies the event-triggered finite-time stabilization problem of nonlinear switched systems in which the time derivatives of Lyapunov functions of modes are indefinite. Based on a mode-dependent average dwell time constraint and event-triggered impulsive control (ETIC) strategy, a new type of the mode-dependent event-triggered mechanism (MDETM) which can efficiently avoid Zeno behavior for switched systems is presented. Some Lyapunov-based criteria for finite-time stability (FTS) and finite-time contractive stability (FTCS) are obtained, respectively, where a relationship between the prescribed bound and event-triggered mechanism is established. Then, we apply these proposed ETIC strategies to impulsive switched systems and design a class of LMI-based MDETMs to guarantee the FTS/FTCS property. Finally, the effectiveness of presented ETIC strategies is illustrated by two examples.
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