| 基于BMI的状态反馈对角优势化 |
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| 引用本文： | 王志焱木,李传锋,王永骥,赵党军.基于BMI的状态反馈对角优势化[J].华中科技大学学报(自然科学版),2011(2):43-47. |
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| 作者姓名： | 王志焱木 李传锋 王永骥 赵党军 |
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| 作者单位： | 华中科技大学图像信息处理与智能控制教育部重点实验室;洛阳理工学院计算机与信息工程系; |
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| 基金项目： | 国家高技术研究发展计划资助项目(2008AA04Z207); 国家自然科学基金资助项目(6067410560975058); 航天支撑基金资助项目(2008); 河南省教育厅自然科学基金资助项目(2011A590001) |
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| 摘 要： | 提出了一种针对线性定常系统的状态反馈对角优势化方法.基于系统的H2范数定义了系统在整个频域内的对角优势,并采用线性矩阵不等式(LMI)描述,给出了系统具有所定义对角优势度的充要条件.在此基础上,将状态反馈对角优势化转化为双线性矩阵不等式(BMI)问题,给出了采用双重迭代法求解该BMI问题的步骤,通过求解BMI可得到最优常数反馈矩阵.仿真结果表明采用该方法能降低系统的耦合程度.
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| 关 键 词： | 线性矩阵不等式(LMI) 双线性矩阵不等式(BMI) H2范数 解耦 对角优势 伪对角化 |
BMI-based state feedback diagonalization |
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| Wang Zhishen Li Chuanfeng, Wang Yongji Zhao Dangjun.BMI-based state feedback diagonalization[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2011(2):43-47. |
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| Authors: | Wang Zhishen Li Chuanfeng Wang Yongji Zhao Dangjun |
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| Institution: | Wang Zhishen1 Li Chuanfeng1,2 Wang Yongji1 Zhao Dangjun1(1 Key Laboratory of Ministry of Education for Image Processing and Intelligent Control,Huazhong University of Science and Technology,Wuhan 430074,China,2 Department of Computer and Information Engineering,Luoyang Institute of Science and Technology,Luoyang 471003,Henan China) |
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| Abstract: | A method of diagonalizing linear time invariant(LTI) systems by linear state feedback was proposed.First diagonal dominance was defined based on the H2 norm of the system,and the necessary and sufficient conditions for diagonal dominance were derived using linear matrix inequalities.Then bilinear matrix inequalities were used to describe the system pseudo-diagonalization problem by state feedback.The steps of solving the problem by dual iteration were given.By solving the BMI,optimal constant feedback matri... |
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| Keywords: | linear matrix inequality(LMI) bilinear matrix inequality(BMI) H2 norm decoupling diagonal dominance pseudo-diagonalization |
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