不确定离散奇异系统的鲁棒非脆弱H∞状态反馈控制

J4 ›› 2011, Vol. 46 ›› Issue (1): 35-41.

不确定离散奇异系统的鲁棒非脆弱H_∞状态反馈控制

孙林, 郑煜, 姚娟

山东大学数学学院, 山东济南 250100

收稿日期:2010-04-02 出版日期:2011-12-14 发布日期:2011-03-16
作者简介:孙林(1986-), 男, 研究生, 硕士, 主要研究方向为运筹学与控制论. Email: lin.tianya@gmail.com
基金资助:
国家自然科学基金项目(60974137);山东大学自主创新基金项目

Robust non-fragile H_∞state feedback control for uncertainty discrete singular systems

SUN Lin, ZHENG Yu, YAO Juan

School of Mathematics, Shandong University, Jinan 250100, Shandong, China

Received:2010-04-02 Online:2011-12-14 Published:2011-03-16

摘要/Abstract

摘要：

研究了不确定离散奇异系统的鲁棒非脆弱H_∞状态反馈控制, 得到了控制器存在的充要条件。并通过线性矩阵不等式进一步给出了控制器的具体设计, 最后利用数值仿真验证了本文方法的有效性。

关键词: 非脆弱控制; H_∞状态反馈; 鲁棒控制; 离散奇异系统; 线性矩阵不等式

Abstract:

Robust non-fragile H_∞ state feedback control for uncertainty discrete singular systems was investigates, and the necessary and sufficient condition for the existence of controller was obtained. Furthermore, the desired controller was presented via linear matrix inequality. Finally, the numerical simulation illustrated this effectiveness of the proposed method.

Key words: Non-fragile control; H_∞state feedback; robust control; discrete singular systems; linear matrix inequality

孙林, 郑煜, 姚娟. 不确定离散奇异系统的鲁棒非脆弱H_∞状态反馈控制[J]. J4, 2011, 46(1): 35-41.

SUN Lin, ZHENG Yu, YAO Juan. Robust non-fragile H_∞state feedback control for uncertainty discrete singular systems[J]. J4, 2011, 46(1): 35-41.

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