一类不确定时滞非线性系统的H∞鲁棒镇定

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (5): 1167-1171.

一类不确定时滞非线性系统的H_∞鲁棒镇定

董亚丽¹, 范姣姣¹, 杨迎娟^1,2

1. 天津工业大学理学院, 天津, 300160;
2. 安徽工程科技学院应用数理系, 安徽, 芜湖, 241000

收稿日期:2008-01-10 修回日期:2008-06-03 出版日期:2009-05-20 发布日期:2010-01-03
作者简介:董亚丽(1963- ),女,教授,博士,主要研究方向为非线性控制理论及其应用.E-mail:dongyl@vip.sina.com
基金资助:
天津市高等学校科技发展基金资助课题(20051527)

H-infinity robust stabilization for a class of uncertain time-delay nonlinear systems

DONG Ya-li¹, FAN Jiao-jiao¹, YANG Ying-juan^1,2

1. School of Science, Tianjin Polytechnic Univ., Tianjin 300160, China;
2. Dept. of Applied Mathematics and Physics, Anhui Univ. of Technology and Science, Wuhu 241000, China

Received:2008-01-10 Revised:2008-06-03 Online:2009-05-20 Published:2010-01-03

摘要/Abstract

摘要： 利用混杂状态反馈策略研究一类不确定时滞非线性系统的鲁棒H_∞镇定问题.首先,当控制器增益矩阵均已知时,利用单Lyapunov函数法和凸组合技术,给出了闭环非线性切换系统具有鲁棒H_∞性能的充分条件并设计出相应切换律.然后,当控制器增益矩阵均未知时,利用多Lyapunov函数法,设计了控制器及相应的切换策略,使闭环非线性切换系统是鲁棒H_∞渐近稳定的.

Abstract: The problem of H-infinity robust stabilization for a class of uncertain time-delay nonlinear systems is investigated by using a hybrid state feedback method.First,when the gain matrices of controllers are all known,by using the single Lyapunov function method and convex combination technique,the sufficient conditions of closed-loop switched nonlinear systems with robust H-infinity performance are derived and the corresponding switching laws are designed.Then,when the gain matrices of controllers are unknown,by employing multi-Lyapunov function method,the controllers and the switching laws are designed,which guarantees that the closed-loop switched nonlinear system is robust H-infinity asymptotically stable.

中图分类号:

TP13

董亚丽, 范姣姣, 杨迎娟. 一类不确定时滞非线性系统的H_∞鲁棒镇定[J]. Journal of Systems Engineering and Electronics, 2009, 31(5): 1167-1171.

DONG Ya-li, FAN Jiao-jiao, YANG Ying-juan. H-infinity robust stabilization for a class of uncertain time-delay nonlinear systems[J]. Journal of Systems Engineering and Electronics, 2009, 31(5): 1167-1171.

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