Safety stabilization of switched systems with unstable subsystems  

作　　者：Lijun Long Yiguang Hong 

机构地区：[1]State Key Laboratory of Synthetical Automation for Process Industries,Northeastern University,Shenyang,110819,Liaoning,China [2]College of Information Science and Engineering,Northeastern University,Shenyang,110819,Liaoning,China [3]Department of Control Science and Engineering,Tongji University,Shanghai,201804,China

出　　处：《Control Theory and Technology》2022年第1期95-102,共8页控制理论与技术（英文版）

基　　金：the National Natural Science Foundation of China(Nos.62173075,61773100,61733018);the 111 Project(No.B16009);the Liaoning Revitalization Talents Program(No.XLYC1907043);the Fundamental Research Funds for the Central Universities(No.N2004015).

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.

关 键 词：Safety stabilization Switched systems Common barrier function Single Lyapunov function State-dependent switching 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]