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一类不确定分数阶混沌系统的自适应滑模控制

曹晔 吴保卫

纺织高校基础科学学报2017,Vol.30Issue(2):279-285,7.
纺织高校基础科学学报2017,Vol.30Issue(2):279-285,7.DOI:10.13338/j.issn.1006-8341.2017.02.020

一类不确定分数阶混沌系统的自适应滑模控制

A novel adaptive sliding mode controller for a class of uncertain fractional-order chaotic systems

曹晔 1吴保卫1

作者信息

  • 1. 陕西师范大学 数学与信息科学学院,陕西 西安 710119
  • 折叠

摘要

Abstract

An adaptive sliding mode method is proposed to stabilize a class of uncertain fractional-order chaotic systems.The fractional-order integrator is designed introduced to obtain a novel sliding surface,and the sliding mode dynamic equation is demonstrated to stability by fractional stability theory.Then a suitable adaptive sliding controller is constructed by the estimation of the upper bound of uncertainties,which can guarantee system stability and weaken the chattering in the system.Finally the fractional-order chen system and fraction-order system are taken as an examples to simulate.The simulation results show that the proposed method provides the robustness to parametric perturbation and external disturbances,and minimizes the chattering problem in sliding mode control.

关键词

分数阶混沌系统/自适应控制/滑模控制

Key words

fractional-order chaotic system/adaptive control/sliding mode control

分类

信息技术与安全科学

引用本文复制引用

曹晔,吴保卫..一类不确定分数阶混沌系统的自适应滑模控制[J].纺织高校基础科学学报,2017,30(2):279-285,7.

基金项目

国家自然科学基金资助项目(11371233,61403241) (11371233,61403241)

纺织高校基础科学学报

OACSTPCD

1006-8341

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