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.[点击复制] |
XIE Yong-fang,GUI Wei-hua,WU Min,CHEN Ning.Decentralized Robust Control for Large Scale Interconnected Uncertain Systems with Time Delay-LMI Approach[J].Control Theory and Technology,2001,18(2):263~265.[点击复制] |
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不确定性关联时滞大系统的分散鲁棒控制——LMI方法 |
Decentralized Robust Control for Large Scale Interconnected Uncertain Systems with Time Delay-LMI Approach |
摘要点击 1517 全文点击 1334 投稿时间:1999-07-12 修订日期:2000-03-06 |
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DOI编号 10.7641/j.issn.1000-8152.2001.2.024 |
2001,18(2):263-265 |
中文关键词 不确定性 时滞 LMI 分散控制 鲁棒性 |
英文关键词 uncertainties time delay linear matrix inequality decentralized control robustness |
基金项目 国家863应用基础研究(863-511-9845-003;863-511-945-014)资助项目. |
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中文摘要 |
对一类满足匹配条件的不确定性关联时滞大系统, 根据Lyapunov稳定性原理, 给出了其可分散状态反馈镇定的充分条件, 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. |
英文摘要 |
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. |