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多时滞非线性系统的鲁棒非脆弱H∞控制

付兴建 刘小河 管萍 厉虹

华中科技大学学报(自然科学版)2011,Vol.39Issue(4):69-72,4.
华中科技大学学报(自然科学版)2011,Vol.39Issue(4):69-72,4.

多时滞非线性系统的鲁棒非脆弱H∞控制

Robust non-fragile H∞ control for non-linear systems with multi-time delay

付兴建 1刘小河 1管萍 1厉虹1

作者信息

  • 1. 北京信息科技大学自动化学院,北京100192
  • 折叠

摘要

Abstract

The robust H∞ non-fragile controller design for uncertain non-linear systems with multitime delay was considered based on the proper Lyapunov functions and linear matrix inequality, under the assumption that the uncertainty is norm-bounded and the states of the non-linear system are available.An approach to design a state feedback H∞ controllers for all admissible uncertainties was proposed, which makes the closed-loop non-linear systems asymptotically stable, as well as satisfying H∞ control properties achieve disturbance attenuation.The robust non-fragile H∞ controller can be obtained by solving the corresponding linear matrix inequality.Finally, a numerical example was presented to illustrate the validity and feasibility of this approach.

关键词

非线性系统/非脆弱/鲁棒控制/不确定性/时滞/线性矩阵不等式

Key words

non-linear system/ non-fragile/ robust control/ uncertainty/ time-delay/ linear matrix inequality

分类

信息技术与安全科学

引用本文复制引用

付兴建,刘小河,管萍,厉虹..多时滞非线性系统的鲁棒非脆弱H∞控制[J].华中科技大学学报(自然科学版),2011,39(4):69-72,4.

基金项目

国家自然科学基金资助项目(11072038) (11072038)

北京市自然科学基金资助项目(4082010). (4082010)

华中科技大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1671-4512

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