| 不确定性关联时滞大系统的分散鲁棒控制——LMI方法 |
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| 引用本文： | 谢永芳,桂卫华,吴 敏,陈 宁.不确定性关联时滞大系统的分散鲁棒控制——LMI方法[J].控制理论与应用,2001,18(2):263-265. |
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| 作者姓名： | 谢永芳 桂卫华 吴 敏 陈 宁 |
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| 作者单位： | 中南工业大学信息科学与工程学院 |
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| 基金项目： | 国家 8 6 3应用基础研究 !(86 3-5 11-9845 -0 0 3，86 3-5 11-945 -0 14 )资助项目 |
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| 摘 要： | 对一类满足匹配条件的不确定性关联时滞大系统，Lyapunov稳定性原理，给出了其可分散状态反镇定的充分条件，即一组线性矩阵不等式（LMI）有解，在此基础上，通过求解一凸优化问题，提出了具有较小的反馈增益的分散稳定化状态反馈控制律的设计方法，文中最后用示例说明了该方法的应用与优越性。
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| 关 键 词： | 不确定性关联时滞大系统 分散鲁棒控制 LMI 鲁棒镇定 |
| 文章编号： | 1000-8152(2001)02-0263-03 |
| 收稿时间： | 1999/7/12 0:00:00 |
| 修稿时间： | 3/6/2000 12:00:00 AM |
Decentralized Robust Control for Large Scale Interconnected Uncertain Systems with Time Delay-LMI Approach |
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| XIE Yong-fang,GUI Wei-hu,WU Min and CHEN Ning.Decentralized Robust Control for Large Scale Interconnected Uncertain Systems with Time Delay-LMI Approach[J].Control Theory & Applications,2001,18(2):263-265. |
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| Authors: | XIE Yong-fang GUI Wei-hu WU Min and CHEN Ning |
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| Affiliation: | College of Information Science and Engineering, Central South University of Technology, Changsha, 410083,P.R.China;College of Information Science and Engineering, Central South University of Technology, Changsha, 410083,P.R.China;College of Information Science and Engineering, Central South University of Technology, Changsha, 410083,P.R.China;College of Information Science and Engineering, Central South University of Technology, Changsha, 410083,P.R.China |
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| Abstract: | For a class of interconnected time delay uncertain systems, which satisfy the matching conditions, a sufficient condition for decentralized stabilization feedback control laws is derived based on Lyapunov stability theorem. This condition is expressed as the solvability problem of linear matrix inequalities. Based on that, a convex optimization problem with LMI constraints is formulated to design a decentralized state feedback control with smaller gain parameters which enables the closed loop system asymptotically stable. The given examples show the application and the superiority of the method. |
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| Keywords: | uncertainties time delay linear matrix inequality decentralized control robustness |
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