| Critical dwell time of switched linear systems |
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| 引用本文： | Lijun ZHANG,Chunwen LI. Critical dwell time of switched linear systems[J]. 控制理论与应用(英文版), 2006, 4(4): 402-408. DOI: 10.1007/s11768-006-5019-1 |
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| 作者姓名： | Lijun ZHANG Chunwen LI |
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| 作者单位： | [1]School of Automation, Harbin Engineering University, Harbin Heilongjiang 15001, China [2]Department of Automation, Tsinghua University, Beijing 100084, China |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China（No.60343001, 60221301 ） and the Foundation of Harbin Engineering University. |
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| 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.
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| 关 键 词： | 开关线性系统 开关定律 稳定性 控制理论 |
| 收稿时间： | 2005-02-01 |
| 修稿时间： | 2006-07-21 |
Critical dwell time of switched linear systems |
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| Lijun ZHANG,Chunwen LI. Critical dwell time of switched linear systems[J]. Journal of Control Theory and Applications, 2006, 4(4): 402-408. DOI: 10.1007/s11768-006-5019-1 |
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| Authors: | Lijun ZHANG Chunwen LI |
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| Affiliation: | 1. School of Automation, Harbin Engineering University, Harbin Heilongjiang 15001, China
2. Department of Automation, Tsinghua University, Beijing 100084, China |
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| Abstract: | 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. |
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| Keywords: | Switched linear systems Switching law Critical dwell time Stabilization |
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