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超混沌Lü系统的模糊脉冲控制:时变Lyapunov函数方法

陈武华 王自鹏 位旦 施开波

电子科技大学学报Issue(5):717-722,6.
电子科技大学学报Issue(5):717-722,6.DOI:10.3969/j.issn.1001-0548.2013.05.014

超混沌Lü系统的模糊脉冲控制:时变Lyapunov函数方法

Fuzzy Impulsive Control of the Hyperchaotic Lü System Via a Time-Dependent Lyapunov Function Approach

陈武华 1王自鹏 2位旦 1施开波3

作者信息

  • 1. 广西大学数学与信息科学学院 南宁 530004
  • 2. 北京航空航天大学自动化科学与电气工程学院 北京 海淀区 100191
  • 3. 电子科技大学数学与科学学院 成都 611731
  • 折叠

摘要

Abstract

A novel analysis method for the fuzzy impulsive control of general chaotic systems is presented by using the time-dependent Lyapunov function-based technique. Compared with the time-independent Lyapunov function method, the proposed method can make full use of the information about the impulsive intervals and provides less conservative results. Being different from the existing results, the derived condition for global exponential stability of the system under consideration depends both on the upper bound and the lower bound of the impulsive intervals. This condition is expressed in terms of linear matrix inequalities (LMIs). By solving a set of LMIs, a fuzzy impulsive state feedback controller can easily be obtained. Finally, the proposed impulsive control scheme is applied to the stabilization of the hyperchaotic Lü system. The simulation results demonstrate the effectiveness of the developed method.

关键词

超混沌系统/脉冲控制/时变Lyapunov函数/T-S 模糊模型

Key words

hyperchaotic systems/impulse control/time-dependent Lyapunov function/T-S fuzzy models

分类

信息技术与安全科学

引用本文复制引用

陈武华,王自鹏,位旦,施开波..超混沌Lü系统的模糊脉冲控制:时变Lyapunov函数方法[J].电子科技大学学报,2013,(5):717-722,6.

基金项目

国家自然科学基金(60864002,61164016) (60864002,61164016)

广西省自然科学基金((2011GXNSFA018141)@@@@Supported by National Natural Science Foundation of China (60864002,61164016) ((2011GXNSFA018141)

Guangxi Natural Science Foundation (2011GXNSFA018141) (2011GXNSFA018141)

电子科技大学学报

OA北大核心CSCDCSTPCD

1001-0548

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