具有非匹配不确定性混沌系统有限时间同步的滑模控制(英文)

樊小琳; 于娟; 蒋海军; 滕志东

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具有非匹配不确定性混沌系统有限时间同步的滑模控制(英文)

更新时间：2026-01-21

- 具有非匹配不确定性混沌系统有限时间同步的滑模控制(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 30, Issue 3, Pages: 304-309(2013)
- 作者机构：
  
  1. 新疆大学数学与系统科学学院
  2. 新疆工程学院基础部
- 作者简介：
- 基金信息：
- DOI：
  CLC： O415.5;O231
- Published：2013
- 稿件说明：
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[1]樊小琳,于娟,蒋海军,等.具有非匹配不确定性混沌系统有限时间同步的滑模控制(英文)[J].新疆大学学报(自然科学版),2013,30(03):304-309.

樊小琳, 于娟, 蒋海军, et al. 具有非匹配不确定性混沌系统有限时间同步的滑模控制(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(3): 304-309.
[1]樊小琳,于娟,蒋海军,等.具有非匹配不确定性混沌系统有限时间同步的滑模控制(英文)[J].新疆大学学报(自然科学版),2013,30(03):304-309. DOI：

樊小琳, 于娟, 蒋海军, et al. 具有非匹配不确定性混沌系统有限时间同步的滑模控制(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(3): 304-309. DOI：

摘要

本文针对具有非匹配不确定性的混沌系统

提出一种终端滑模同步控制实现混沌系统的有限时间同步.首先给出了一种新的非奇异的terminal滑动模面的设计方法

使得系统可在有限时间内收敛到平衡点

接着系统在终端滑模控制器的作用下最终能到达滑模面.最终建立了同步精确度范围和非匹配不确定性范围和终端滑模参数之间的数学关系.

Abstract

In this paper

the problem of finite-time chaos synchronization of two chaotic systems with unmatched uncertainties is presented by using a terminal sliding mode controller. First a new nonsingular terminal sliding surface is introduced and ensure the system convergence to the zero equilibrium point in finite-time. Then a terminal sliding mode controller is designed to drive the system state variables to reach and retain in the terminal sliding mode. The mathematical relationship between the neighborhood of the equilibrium point and the range of the unmatched uncertainties and parameters of the sliding mode is formulated.

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references

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