A notion of passivity for switched systems with state-dependent switching

作     者：Jun ZHAO David J. HILL 

作者机构：School of Information Science and Engineering Northeastern University Liaoning Shenyang 110004 China Research School of Information Sciences and Eagiaeering Australian National University Canberra ACT 0200 Australia 

出 版 物：《控制理论与应用（英文版）》 (控制理论与应用)

年 卷 期：2006年第4卷第1期

页      面：70-75页

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：This work was supported by the Hong Kong Research Grants Council (No. CityU 1232/02E)  City University of Hong Hong (No. 9380026) and theNational Natural Science Foundation of China (No.60574013  60274009). Part of the work was carried out when both authors were at City Universityof Hong Kong 

主　　题：Switched systems Passivity Stability 

摘      要：A passivity concept for switched systems with state-dependent switching is presented. Each subsystem has a storage function to describe the ＂energy＂ stored in the subsystem. The passivity property of a switched system is given in terms of multiple storage functions. Each storage function is allowed to grow on the ＂switched on＂ time sequence but the total growth is bounded by a certain function. Stability is inferred from passivity and asymptotic stability is achieved under further assumptions of a detectivity property of a local form and boundedness of the total change of some storage function on its inactive intervals. A state-dependent switching law that renders the system passive is also designed.