| 引用本文: | 谢永芳,蒋朝辉,桂卫华.数值界不确定性关联大系统分散鲁棒H∞控制[J].控制理论与应用,2006,23(3):329~335.[点击复制] |
| XIE Yong-fang,JIANG Zhao-hui,GUI Wei-hua.Decentralized robust H-infinity control for value-bounded uncertain large-scale interconnected systems[J].Control Theory and Technology,2006,23(3):329~335.[点击复制] |
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| 数值界不确定性关联大系统分散鲁棒H∞控制 |
| Decentralized robust H-infinity control for value-bounded uncertain large-scale interconnected systems |
| 摘要点击 1472 全文点击 1620 投稿时间：2005-02-01 修订日期：2005-08-11 |
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| DOI编号 |
| 2006,23(3):329-335 |
| 中文关键词 数值界不确定性 分散控制 鲁棒H∞控制 矩阵不等式 同伦迭代方法 |
| 英文关键词 value bounded uncertainty decentralized control robust H-infinity control matrix inequality homotopy iterative method |
| 基金项目 国家自然科学基金资助项目(60474003); 博士点基金资助项目(20050533028) |
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| 中文摘要 |
| 针对一类状态阵,控制输入阵及关联阵中存在数值界不确定性的关联大系统,研究其分散鲁棒H∞状态反馈和输出反馈控制器设计问题.基于有界实引理,推导出了其存在分散鲁棒H∞控制器的充分条件,即一组矩阵不等式有解.利用Schur补引理,通过固定不同变量,提出了一种构建分散控制器的同伦迭代线性矩阵不等式方法.所获得的控制器使闭环大系统鲁棒稳定,并且达到给定的H∞性能指标.最后用数值例子说明了所提的设计方法的有效性. |
| 英文摘要 |
| For a class of large-scale interconnected systems with value-bounded uncertainties existing in the state,control input and interconnected matrices,the design of decentralized robust H-infinity state feedback and decentralized robust H-infinity output feedback controllers is investigated in this paper.Based on the bounded-real lemma,sufficient conditions for the existence of a decentralized robust H-infinity controller are obtained in terms of a set of matrix inequalities.According to Schur complement,a homotopy iterative linear matrix inequality method is then put forward to construct a decentralized robust H-infinity controller by fixing different variables.The controller obtained enables the closed-loop large-scale systems to be robustly stable and to achieve the given H-infinity performance.Finally,a numerical example is given which illustrates the effectiveness of the proposed method. |
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