| 不确定离散切换系统二次镇定保成本控制 |
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| 引用本文： | 孙文安,冯佳昕,仲伟松,赵军.不确定离散切换系统二次镇定保成本控制[J].东北大学学报(自然科学版),2006,27(5):477-480. |
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| 作者姓名： | 孙文安 冯佳昕 仲伟松 赵军 |
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| 作者单位： | 1. 东北大学教育部暨辽宁省流程工业综合自动化重点实验室,辽宁沈阳,110004
2. 上海财经大学信息管理与工程学院,上海,200433 |
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| 基金项目： | 中国科学院资助项目，辽宁省自然科学基金 |
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| 摘 要： | 基于LMIs和保成本控制理论,研究了一类不确定离散切换系统在任意切换下的保成本鲁棒二次镇定问题·利用矩阵Schur补引理构造线性矩阵不等式,得到该系统在保成本意义下的二次镇定充分条件,这几个条件可以检验在任意切换策略下,不确定离散切换系统的二次稳定性,并且满足成本指标上界·这种检验方法容易计算,同时也降低了保守性·可以通过MATLABLMI工具箱求解,适合在工程中使用最后用数值例子验证了所得结果的正确性
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| 关 键 词： | 离散切换系统 保成本控制 线性矩阵不等式 二次稳定性 Schur补引理 |
| 文章编号： | 1005-3026（2006）05-0477-04 |
| 收稿时间： | 2005-06-20 |
| 修稿时间： | 2005年6月20日 |
Guaranteed Cost Control with Quadratic Stability of Uncertain Discrete-Time Switched Systems |
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| SUN Wen-an,FENG Jia-xin,ZHONG Wei-song,ZHAO Jun.Guaranteed Cost Control with Quadratic Stability of Uncertain Discrete-Time Switched Systems[J].Journal of Northeastern University(Natural Science),2006,27(5):477-480. |
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| Authors: | SUN Wen-an FENG Jia-xin ZHONG Wei-song ZHAO Jun |
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| Institution: | (1) Key Laboratory of Process Industry Automation of Liaoning Province, Northeastern University, Shenyang 110004, China; (2) School of Information Management and Engineering, Shanghai University of Finance and Economics, Shanghai 200433, China |
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| Abstract: | Explores the problem of the robust guaranteed cost control with quadratic stability of uncertain discrete-time switched systems under arbitrary switching laws, based on LMIs. Constructing LMIs using Schur complement lemma, several sufficient conditions are given in terms of LMIs for the problem. With these less conservative conditions the quadratic stability are easy to check and the upper bound of cost index can be satisfied. The effectiveness of the method has been illustrated by a numerical example. |
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| Keywords: | discrete-time switched system guaranteed cost control linear matrix inequalities(LMIs) quadratic stability Schur complement lemma |
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