Safety stabilization of switched systems with unstable subsystems

被引：13
作者：
Long, Lijun [1 ,2 ]
Hong, Yiguang [3 ]
机构：
[1] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China
[3] Tongji Univ, Dept Control Sci & Engn, Shanghai 201804, Peoples R China
来源：
CONTROL THEORY AND TECHNOLOGY | 2022年 / 20卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Safety stabilization; Switched systems; Common barrier function; Single Lyapunov function; State-dependent switching; MULTIPLE LYAPUNOV FUNCTIONS; BARRIER;
D O I：
10.1007/s11768-022-00080-4
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
引用
收藏
页码：95 / 102
页数：8
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