| Lurie控制系统的关联绝对稳定性—双线性矩阵不等式方法 |
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| 引用本文： | 年晓红,李鑫滨,杨莹,左志强.Lurie控制系统的关联绝对稳定性—双线性矩阵不等式方法[J].控制理论与应用,2005,22(6):999-1004. |
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| 作者姓名： | 年晓红 李鑫滨 杨莹 左志强 |
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| 作者单位： | 1. 中南大学,信息科学与工程学院,自动化工程研究中心,湖南,长沙,410075
2. 北京大学,力学与工程科学系,湍流与复杂系统国家重点实验室,北京,100871 |
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| 基金项目： | 国家自然科学基金资助项目(60474029,60404007,60334030); 湖南省自然科学基金重点资助项目(00JJY1009). |
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| 摘 要： | 研究任意两个相互独立的Lurie控制系统能否通过关联或协调控制组成绝对稳定大系统的问题,给出两个Lurie控制系统可关联绝对稳定的充分条件,并给出了计算关联矩阵的双线性矩阵不等式方法.研究结果表明:两个非绝对稳定的系统可以通过关联或协调控制来实现关联大系统的绝对稳定性,取消了大系统稳定性分析中对关联的不合理限制.文末给出了本文结果的数值例子.
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| 关 键 词： | 绝对稳定性 大系统 协调控制 双线性矩阵不等式 |
| 文章编号： | 1000-8152(2005)06-0999-06 |
| 收稿时间： | 9/1/2004 12:00:00 AM |
| 修稿时间： | 2004年9月1日 |
Bilinear matrix inequality approach to the absolute stability of interconnected Lurie control systems |
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| NIAN Xiao-hong,LI Xin-bin,YANG Ying,ZUO Zhi-qiang.Bilinear matrix inequality approach to the absolute stability of interconnected Lurie control systems[J].Control Theory & Applications,2005,22(6):999-1004. |
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| Authors: | NIAN Xiao-hong LI Xin-bin YANG Ying ZUO Zhi-qiang |
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| Affiliation: | Center for Automation Engineering,School of Information Science and Engineering,Central South University,Changsha Hunan 410075,China;State Key Lab for Turbulence and Complex Systems,Department of Mechanics and Engineering Science,Peking University,Beijing |
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| Abstract: | This paper studies the problem of whether a large-scale Lurie system can achieve absolute stability through effective interconnections or harmonious control between subsystems.Sufficient conditions for the absolute stability of interconnected Lurie control systems are obtained,and the algorithms for calculating the interconnection matrix and parameterizing the harmonious controllers are proposed by using the methods of bilinear matrix inequalities(BMIs).It is shown that two unstable Lurie control systems can be combined into an absolutely stable large-scale system via effective interconnections.The irrational restrictions on interconnections in traditional stability analysis of large-scale systems are eliminated.Finally,examples are given to illustrate the results presented. |
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| Keywords: | absolute stability large-scale systems harmonious control bilinear matrix inequalities(BMIs) |
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