| 一类单输入线性切换系统的可镇定性研究 |
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| 引用本文： | 张长学,武玉强,宗广灯.一类单输入线性切换系统的可镇定性研究[J].控制与决策,2006,21(7):759-762. |
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| 作者姓名： | 张长学 武玉强 宗广灯 |
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| 作者单位： | 1. 曲阜师范大学,自动化研究所,山东,曲阜,273165;山东建筑工程学院,数理系,济南,250101
2. 曲阜师范大学,自动化研究所,山东,曲阜,273165 |
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| 基金项目： | 国家自然科学基金项目（60574007,60174042）;高等学校博士学科点科研基金项目（20050446001）;山东省自然科学基金项目（Y2003G02）;曲阜师范大学青年基金项目（xj0511）. |
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| 摘 要： | 考虑一类单输入线性切换系统的可镇定性问题，利用变结构控制对系统进行降维．通过对系统滑动模态的研究，得出了系统一致可镇定的充分条件和系统存在容许镇定策略的充分条件．给出了具体的容许镇定策略集合，并对二阶切换系统给出了详细的容许镇定策略．仿真实例验证了所提出结论的有效性．
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| 关 键 词： | 切换系统 变结构控制 一致可镇定性 |
| 文章编号： | 1001-0920（2006）07-0759-04 |
| 收稿时间： | 2005-06-01 |
| 修稿时间： | 2005-10-17 |
Study on the Stabilizability of a Class of Single-input Switched Linear Systems |
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| ZHANG Chang-xue,WU Yu-qiang,ZONG Guang-deng.Study on the Stabilizability of a Class of Single-input Switched Linear Systems[J].Control and Decision,2006,21(7):759-762. |
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| Authors: | ZHANG Chang-xue WU Yu-qiang ZONG Guang-deng |
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| Affiliation: | 1. Institute of Automation, Qufu Normal University, Qufu 273165, China; 2. Department of Mathematics and Physics, Sandong Institute of Architecture and Engineering, Jinan 250101, China |
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| Abstract: | The stabilizability problem of a class of single-input switched linear systems is considered. The dimension of the system is reduced with the variable structure control. The sufficient conditions of the uniform stabilization and the existence of the admissible stabilizing strategies of systems are obtained through the study of the sliding mode of the reduced systems. And the detailed admissible stabilizing strategy sets are proposed. The completely admissible stabilizing strategies for second order switched systems are given. Numerical simulations show the effectiveness of the proposed method. |
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| Keywords: | Switched systems Variable structure control Uniformly stabilizability |
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