| 不确定性关联时滞大系统的分散鲁棒镇定 |
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| 引用本文： | 谢永芳,邓燕妮,桂卫华.不确定性关联时滞大系统的分散鲁棒镇定[J].武汉理工大学学报,2006,28(2):104-107. |
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| 作者姓名： | 谢永芳 邓燕妮 桂卫华 |
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| 作者单位： | 1. 中南大学信息科学与工程学院,长沙,410083
2. 中南大学信息科学与工程学院,长沙,410083;武汉理工大学自动化学院,武汉,430070 |
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| 摘 要： | 应用线性矩阵不等式（LMI）方法研究不确定性关联时滞大系统的分散鲁棒镇定问题。系统中不确定项具有数值界，可不满足匹配条件。基于不确定项的表达形式，给出了其可分散状态反馈镇定的充分条件，即一组LMIs有解。在此基础上，通过求解一凸优化问题，给出了具有较小反馈增益的分散稳定化状态反馈控制律的设计方法。仿真示例说明了该方法的有效性和优越性。
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| 关 键 词： | 分散控制 鲁棒控制 不确定性 线性矩阵不等式 时滞 |
| 文章编号： | 1671-4431(2006)02-0104-04 |
| 修稿时间： | 2005年9月1日 |
Decentralized Robust Stabilization for Linear Uncertain Interconnected Large-scale Systems with Time Delay |
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| XIE Yong-fang,DENG Yan-ni,GUI Wei-hua.Decentralized Robust Stabilization for Linear Uncertain Interconnected Large-scale Systems with Time Delay[J].Journal of Wuhan University of Technology,2006,28(2):104-107. |
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| Authors: | XIE Yong-fang DENG Yan-ni GUI Wei-hua |
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| Abstract: | The decentralized robust stabilization problem for large-scale uncertain systems with time delay was studied using linear matrix inequality(LMI) approach.The uncertainty value was bounded and may not satisfy the so-called matching conditions.A sufficient condition for decentralized stabilization feedback control laws was derived.This condition was expressed as the solvability problem of linear matrix inequalities(LMIs).A convex optimization problem with LMI constraints was formulated to design a decentralized state feedback control with smaller gain parameters that enabled the closed-loop system asymptotically stable.The given example showed the application and the superiority of the method. |
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| Keywords: | decentralized control robust control uncertainty linear matrix inequality time delay |
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