北京航空航天大学学报 ›› 2014, Vol. 40 ›› Issue (9): 1276-1280.doi: 10.13700/j.bh.1001-5965.2013.0614

• 论文 • 上一篇    下一篇

一类不确定分数阶混沌系统的滑模自适应同步

余名哲, 张友安   

  1. 海军航空工程学院 控制工程系, 烟台 264001
  • 收稿日期:2013-10-25 出版日期:2014-09-20 发布日期:2014-10-10
  • 作者简介:余名哲(1982-),男,湖北松滋人,博士生,18953589889@189.cn.

Sliding mode adaptive synchronization for a class of fractional-order chaotic systems with uncertainties

Yu Mingzhe, Zhang Youan   

  1. Department of Control Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China
  • Received:2013-10-25 Online:2014-09-20 Published:2014-10-10

摘要:

基于滑模自适应控制理论、Lyapunov稳定性理论和分数阶线性系统稳定性理论,在考虑系统存在模型不确定和外部扰动的情况下,选用一种具有较强鲁棒性的分数阶滑模曲面,设计了合适的自适应滑模控制器。所设计的控制器能够将系统状态控制到滑模面上,实现两个不确定分数阶混沌系统的同步,且不需事先知道不确定项上界。该控制器结构简单,控制代价小,具有较好的通用性,对未知扰动具有较强的鲁棒性。数值仿真验证了该方法的正确性和有效性。

关键词: 不确定性, 分数阶混沌系统, 滑模控制, 自适应控制, 混沌同步

Abstract:

A fractional-order sliding mode adaptive control approach was introduced to synchronize chaos of a class of fractional-order chaotic systems with uncertainties. The effects of model uncertainties and external disturbances were fully taken into account. An appropriate robust fractional sliding mode adaptive controller was designed by adopting a fractional sliding surface with strong robustness, and using sliding mode adaptive control theory, Lyapunov stability theory and fractional-order linear systems stability theory. The control law can ensure the occurrence of the sliding motion, and achieve synchronization between the drive system and response system. The upper bound of uncertainties was not needed in the proposed controller. The designed controller is not complicated mathematically and easy to implement. The fractional adaptive sliding mode control approach can be applied to control a broad range of nonlinear fractional-order chaotic systems with uncertainties. Numerical simulation was presented to show the efficiency and applicability of the proposed control strategy.

Key words: uncertaintiy, fractional-order chaotic system, sliding mode control, adaptive control, chaos synchronization

中图分类号: 


版权所有 © 《北京航空航天大学学报》编辑部
通讯地址:北京市海淀区学院路37号 北京航空航天大学学报编辑部 邮编:100191 E-mail:jbuaa@buaa.edu.cn
本系统由北京玛格泰克科技发展有限公司设计开发