非线性不确定多时滞切换奇异系统的鲁棒H∞保性能控制

对非线性不确定多时滞切换奇异系统的鲁棒H∞保性能控制问题进行了研究。假设系统是正则的和无脉冲情况下有一个范数有界的非线性函数式满足相应的切换规则和Lyapunov函数,应用线性矩阵不等式（LMIs）的方法,得到闭环系统的零解是渐进稳定的,给出鲁棒H∞保性能控制器存在的充分条件和设计方法。最后通过仿真例子,验证所用方法的有效性。...

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Published in河北科技大学学报 Vol. 36; no. 2; pp. 150 - 156
Main Author 张立俊 杨丽芸 刘春菊 仇计清 丛悦 鲍冬冬
Format Journal Article
LanguageChinese
Published 河北科技大学理学院,河北石家庄,050018%石家庄铁道大学四方学院,河北石家庄,050228 2015
Subjects
保性能
多时滞
奇异系统
稳定性理论
线性矩阵不等式
非线性
singular system
非线性
保性能
奇异系统
guranteed cost
LMIs
稳定性理论
多时滞
theory of stability
线性矩阵不等式
multiple time-delay
non-linear
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ISSN1008-1542
DOI10.7535/hbkd.2015yx02006

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Summary:对非线性不确定多时滞切换奇异系统的鲁棒H∞保性能控制问题进行了研究。假设系统是正则的和无脉冲情况下有一个范数有界的非线性函数式满足相应的切换规则和Lyapunov函数,应用线性矩阵不等式（LMIs）的方法,得到闭环系统的零解是渐进稳定的,给出鲁棒H∞保性能控制器存在的充分条件和设计方法。最后通过仿真例子,验证所用方法的有效性。
Bibliography:theory of stability; non-linear; multiple time-delay; singular system; guranteed cost; LMIs
This paper investigates the problem of robust H∞guaranteed cost control for non-linear uncertain switched singular systems with multiple time-delay. Nonlinear is considered to be norm bounded and the systems are regular and impulse free. A sufficient condition for existences of robust H∞guaranteed cost controller is given by the linear matrix inequalities（ LMI） at the Lyapunov function and switching rule. It is shown that the closed-loop systems are asymptotically stable. Finally,the results are validated and advantage,through a given example.
13-1225/TS
ZHANG Lijun, YANG Liyun, LIU Chunju, QIU Jiqing, CONG Yue, BAO Dongdong（1. School of Science, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, China; 2. Sifang College, Shijiazhuang Tiedao University, Shijiazhuang, Hebei 050228, China）
ISSN:1008-1542
DOI:10.7535/hbkd.2015yx02006