Critical dwell time of switched linear systems
Lijun ZHANG
Chunwen LI
摘要：In this paper, we consider the relation between the switching dwell time and the stabilization of switched linear control systems. First of all, a concept of critical dwell time is given for switched linear systems without control inputs, and the critical dwell time is taken as an arbitrary given positive constant for a switched linear control systems with controllable switching models. Secondly, when a switched linear system has many stabilizable switching models, the problem of stabilization of the overall system is considered. An on-line feedback control is designed such that the overall system is asymptotically stabilizable under switching laws which depend only on those of uncontrollable subsystems of the switching models. Finally, when a switched system is partially controllable (While some switching models are probably unstabilizable), an on-line feedback control and a cyclic switching strategy are designed such that the overall system is asymptotically stabilizable if all switching models of this uncontrollable subsystems are asymptotically stable. In addition,algorithms for designing switching laws and controls are presented.
机标关键词：linear systemsfeedback controldwell timecontrol systemsswitched linear systemasymptotically stableswitched system
分类号：O23(控制论、信息论（数学理论）)
资助基金：国家自然科学基金(60343001;60221301)
论文发表日期：2006-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：7( 402-408 )
英文信息