| 采用还原方法的不确定关联时滞系统的鲁棒分散镇定 |
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| 引用本文： | 刘晓志,井元伟,张嗣瀛.采用还原方法的不确定关联时滞系统的鲁棒分散镇定[J].控制与决策,2004,19(11):1218-1222. |
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| 作者姓名： | 刘晓志 井元伟 张嗣瀛 |
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| 作者单位： | 东北大学,信息科学与工程学院,辽宁,沈阳,110004 |
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| 基金项目： | 国家自然科学基金资助项目(60274009). |
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| 摘 要： | 针对一类具有多输入时滞项及互联时滞项的不确定关联系统，提出了系统可鲁棒分散镇定的充分条件，即一组线性矩阵不等式(LMI)有解．系统的不确定性是未知时变且范数有界的，基于还原方法及LMI技术给出系统设计状态反馈分散控制器的方法．该控制器保证闭环系统全局渐近稳定，且设计简单，计算量小，易于工程实现．最后通过仿真例子说明了该方法的有效性．
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| 关 键 词： | 不确定关联时滞系统 鲁棒分散镇定 还原方法 线性矩阵不等式 |
| 文章编号： | 1001-0920(2004)11-1218-05 |
| 修稿时间： | 2003年10月22 |
Robust decentralized stabilization for uncertain interconnected delayed systems using reduction method |
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| LIU Xiao-zhi,JING Yuan-wei,ZHANG Si-ying.Robust decentralized stabilization for uncertain interconnected delayed systems using reduction method[J].Control and Decision,2004,19(11):1218-1222. |
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| Authors: | LIU Xiao-zhi JING Yuan-wei ZHANG Si-ying |
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| Abstract: | The problem of the robust stabilization for a class of uncertain interconnected systems with time delays in the input and interconnection is investigated. The uncertainties are time-varying and norm bounded. Based on the reduction method, a decentralized feedback controller is proposed such that the closed loop system is global asymptotically stable, and a sufficient condition for the stability is derived in terms of a linear matrix inequality (LMI). The design approach is simple. Simulation example shows the effectiveness of the proposed method. |
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| Keywords: | uncertain interconnected delayed systems robust decentralized stabilization reduction method linear matrix inequalities |
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