引用本文: | 沃松林,史国栋,邹云.不确定广义大系统分散鲁棒H∞保性能控制[J].控制理论与应用,2009,26(9):1035~1040.[点击复制] |
WO Song-lin,SHI Guo-dong,ZOU Yun.Decentralized robust H-infinity and cost-guaranteed control for uncertain singular large-scale systems[J].Control Theory and Technology,2009,26(9):1035~1040.[点击复制] |
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不确定广义大系统分散鲁棒H∞保性能控制 |
Decentralized robust H-infinity and cost-guaranteed control for uncertain singular large-scale systems |
摘要点击 1965 全文点击 1184 投稿时间:2008-04-15 修订日期:2008-12-09 |
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DOI编号 10.7641/j.issn.1000-8152.2009.9.CCTA080346 |
2009,26(9):1035-1040 |
中文关键词 分散鲁棒H∞控制 不确定性 保性能控制 线性矩阵不等式. |
英文关键词 decentralized H-infinity control uncertainty guaranteed cost control linear matrix inequality (LMI) |
基金项目 国家自然科学基金资助项目(60474078). |
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中文摘要 |
针对一类状态矩阵和控制矩阵存在参数不确定的广义大系统, 研究其分散鲁棒H∞保性能控制问题, 系统中不确定项具有数值界, 可不满足匹配条件. 基于广义系统的有界实引理, 应用线性矩阵不等式(LMI)方法, 给出了不确定广义大系统存在分散鲁棒H∞保性能控制器的一个LMI条件, 并用这个线性矩阵不等式系统的可行解提供了一组分散鲁棒H∞保性能控制律的参数化表示, 最后用例子说明该方法的应用. |
英文摘要 |
The decentralized robust H-infinity and cost-guaranteed control problem for singular large-scale systems with uncertainty in states and control matrices is considered. The uncertainty is magnitude-bounded, but may violate the
so-called matching conditions. Based on the bounded real lemma of singular systems, a sufficient condition for the existence of decentralized robust H-infinity and cost-guaranteed controller for uncertain singular large-scale systems is presented in terms of the solvability to a certain system of linear matrix inequalities (LMI). The feasible solutions to this system of LMIs
provide a parameterized expression for the set of decentralized robust H-infinity and cost-guaranteed controller. The given example shows the application of the method. |