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基于LMI不确定性关联大系统的分散鲁棒H_∞控制 被引量:8

Decentralized robust H∞ control of interconnected large-scale systems via LMI
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摘要 针对一类具有不确定性的关联大系统,研究其分散鲁棒H∞状态反馈控制问题.系统的不确定性参数满足范数有界条件,而不需要满足匹配条件.根据Lyapunov稳定性原理,得到了分散状态反馈控制器,使每一个子系统和整个大系统都可镇定且满足给定H∞性能的充分务件.采用鲁棒分析与设计的重要方法——线性矩阵不等式法,获得了分散H∞状态反馈控制器的参数化形式.仿真结果表明.该方法没有参数调整的过程,求解、应用方便. As one of the important branches of interconnected large-scale systems, decentralized control has been paid much attention to since the 1980s. Since the models often contain uncertainties, expected performance can not be obtained if the controller is designed only based on nominal model, the robust stabilization for uncertain interconnected large-scale systems has given rise to a lot of attention. The decentralized control problem via Hoo control is studied for a class of large-scale systems in this paper. The uncertainty is value bounded. Based on Lyapunov stability theorem, a new decentralized H∞ feedback control design method is developed. The decentralized Hoo feedback controller can be obtained by solving a set of suitable linear matrix inequalities. The application results show that the method is very easy to use.
作者 陈宁 桂卫华
出处 《中南工业大学学报》 CSCD 北大核心 2003年第1期84-87,共4页 Journal of Central South University of Technology(Natural Science)
基金 国家"八六三"应用基础研究基金资助项目(863-511-9845-003.863-511-945-014)
关键词 LMI 分散控制 鲁棒H∞控制 不确定性 关联大系统 线性矩阵不等式 状态反馈控制 decentralized control robust H∞ feedback uncertainties interconnected large-scale systems linear matrix inequality
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参考文献7

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