| 离散广义区间系统的保成本控制 |
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| 引用本文： | 陈芳信,汪秉文,姜 新. 离散广义区间系统的保成本控制[J]. 控制理论与应用, 2005, 22(4): 673-676 |
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| 作者姓名： | 陈芳信 汪秉文 姜 新 |
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| 作者单位： | 华中科技大学,控制科学与工程系,湖北,武汉,430074;华中科技大学,控制科学与工程系,湖北,武汉,430074;华中科技大学,控制科学与工程系,湖北,武汉,430074 |
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| 摘 要： | 分析了离散广义区间系统的保成本控制问题.当系统参数在某一确定区间变化时,控制器能保证闭环系统稳定和一定的线性二次型性能指标上界.基于Lyapunov稳定性理论,该控制器的设计可转化为线性矩阵不等式的可解性问题.数值仿真也验证了所给方法的有效性.
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| 关 键 词： | 广义区间系统 保成本控制 Schur补 线性矩阵不等式 |
| 文章编号： | 1000-8152（2005）04-0673-04 |
| 收稿时间： | 2003-11-25 |
| 修稿时间： | 2003-11-252004-11-03 |
Guaranteed cost control for the discrete time singular interval systems |
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| CHEN Fang-xin,WANG Bing-wen,JIANG Xin. Guaranteed cost control for the discrete time singular interval systems[J]. Control Theory & Applications, 2005, 22(4): 673-676 |
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| Authors: | CHEN Fang-xin WANG Bing-wen JIANG Xin |
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| Affiliation: | Department of Control Science & Engineering,Huazhong University of Science and Technology,Wuhan Hubei 430074,China |
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| Abstract: | The problem of guaranteed cost control for the discrete-time singular interval systems was analyzed.When the system parameters vary within a certain interval matrices,the stability of closed-loop system and a certain upper bound of the linear quadratic cost function are both guaranteed by the controller.Based on Lyapunov stability theory,the design of controller can be transformed to a linear matrix inequality (LMI) feasibility problem.The numerical simulation result was provided to demonstrate the effectiveness of the presented method. |
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| Keywords: | singular interval systems guaranteed-cost control Schur complement linear matrix inequality(LMI) |
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