广义线性离散系统的优化计算

李康弟; 黄建雄

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上海电力大学学报:2005,21(4):373-377

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广义线性离散系统的优化计算

李康弟, 黄建雄

(上海电力学院数理系, 上海 200090)

General Linear Discrete System Optimization Computation

LI Kang-di, HUANG Jian-xiong

(School of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China)

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投稿时间：2005-03-17

中文摘要: 讨论了广义线性离散系统状态反馈H_∞控制问题,论证了它和常义状态空间线性状态反馈H_∞控制问题的等价性.利用线性矩阵不等式(LMI)方法,给出了一个使闭环系统无脉冲、内稳定且满足H_∞性能指标的状态反馈.

中文关键词: 离散系统 H_∞控制线性矩阵不等式

Abstract:This paper mainly discusses the general state feedback H_∞ control problem for linear discrete system.First of all, the ordinary discrete state feedback H_∞ is presented in terms of linear matrix inequalities;next, the general problem for the state feedback H_∞ is discussed in detail.By means of nonsingular transformation, we give the existence of a controller so that the closed-loop system is impulse-free and stable, and satisfies H_∞ performance.

keywords: discrete system H_∞ control liner matrix inequalities

文章编号：20050421 中图分类号： 文献标志码：

基金项目:上海市教委自然科学项目(05LZ05);上海市教委自然科学项目(04LB12)

作者	单位
李康弟	上海电力学院数理系, 上海 200090
黄建雄	上海电力学院数理系, 上海 200090

Author Name	Affiliation
LI Kang-di	School of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China
HUANG Jian-xiong	School of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China

引用文本：
李康弟,黄建雄.广义线性离散系统的优化计算[J].上海电力大学学报,2005,21(4):373-377.
LI Kang-di,HUANG Jian-xiong.General Linear Discrete System Optimization Computation[J].Journal of Shanghai University of Electric Power,2005,21(4):373-377.