Safety stabilization of switched systems with unstable subsystems

• 作者: Lijun Long Yiguang Hong
• 来源期刊: 控制理论与技术（英文版）
• 年，卷（期）: 2022,（1）
• 所属期刊栏目: RESEARCH ARTICLES
• 页码范围: 95-102
• 页数: 8页
• 语种: 英文

摘要

This paper is concerned with the problem of safety stabilization for switched systems where the solvability of the problem under study for individual subsystems is not assumed. A new state-dependent switching strategy with guaranteed dwell-time for switched systems is constructed, and a sufficient condition for absence of Zeno behavior is derived. Also, a novel switched control design method is proposed to simultaneously guarantee the safety of the switched closed-loop system and stabilize the system based on the union of a common barrier function and a single Lyapunov function, which effectively handles the conflict between safety and stability objectives. Finally, two examples are presented to demonstrate the effectiveness of the proposed design approach.