| 一类不确定线性时滞切换系统的鲁棒镇定 |
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| 引用本文： | 林安辉,罗正选,张霄力.一类不确定线性时滞切换系统的鲁棒镇定[J].厦门大学学报(自然科学版),2007,46(5):626-629. |
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| 作者姓名： | 林安辉 罗正选 张霄力 |
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| 作者单位： | 厦门大学自动化系,福建,厦门,361005 |
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| 基金项目： | 福建省青年科技人才创新基金;厦门大学校科研和教改项目 |
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| 摘 要： | 研究了一类不确定线性时滞切换系统的鲁棒镇定问题.该系统在结构、输入通道都存在不确定性,而且还受到不满足匹配条件的外部扰动.首先利用完备性条件与李亚普诺夫函数方法,设计了线性无记忆状态反馈控制器,使该不确定线性时滞切换系统的状态在给定的切换策略下渐近稳定,并且所得结果均用易于求解的线性矩阵不等式的形式表出.然后,利用线性组合方法,给出求解完备性的一种方法.最后通过仿真验证了此方法的有效性.
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| 关 键 词： | 切换系统 时滞 鲁棒镇定 完备性 线性矩阵不等式 状态反馈 |
| 文章编号： | 0438-0479（2007）05-0626-04 |
| 修稿时间： | 2006-11-07 |
Robust Stabilization for a Class of Uncertain Switched Linear Systems with Time-delay |
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| LIN An-hui,LUO Zheng-xuan,ZHANG Xiao-li.Robust Stabilization for a Class of Uncertain Switched Linear Systems with Time-delay[J].Journal of Xiamen University(Natural Science),2007,46(5):626-629. |
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| Authors: | LIN An-hui LUO Zheng-xuan ZHANG Xiao-li |
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| Institution: | Department of Automation, Xiamen University, Xiamen 361005, China |
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| Abstract: | The robust stabilization for a class of switched linear systems with time-delay is studied.The switched systems exist uncertainties in the structure and the input channel.Furthermore,the systems are interfered by the outer perturbations,which do not satisfy the so-called matching condition.Firstly by using completeness condition and Lyapunov function methods,the linear state feedback controller without memory,is designed to guarantee the states of the systems asymptotically stable under the given switching signals.And all of the results are expressed in the form of linear matrix inequalities,which can be solved easily.Then based on the linear combinations method,the sufficient condition of completeness is attained.The simulation shows the validity of the results at last. |
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| Keywords: | switched systems time-delay robust stabilization completeness linear matrix inequalities state feedback |
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