Finite-Time Stabilization of a Class of Chaotic Systems with Matched and Unmatched Uncertainties: An LMI Approach

被引：54
|
作者：
Mobayen, Saleh [1 ]
机构：
[1] Univ Zanjan, Dept Elect Engn, Zanjan, Iran
来源：
COMPLEXITY | 2016年 / 21卷 / 05期
关键词：
sliding mode control; finite-time control; chaotic system; linear matrix inequality; uncertainty; SLIDING MODE CONTROL; ADAPTIVE-CONTROL; NEURAL-NETWORK; SYNCHRONIZATION; CONTROLLER; DESIGN;
D O I：
10.1002/cplx.21624
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article investigates the sliding mode control method for a class of chaotic systems with matched and unmatched uncertain parameters. The proposed reaching law is established to guarantee the existence of the sliding mode around the sliding surface in a finite-time. Based on the Lyapunov stability theory, the conditions on the state error bound are expressed in the form of linear matrix inequalities. Simulation results for the well-known Genesio's chaotic system are provided to illustrate the effectiveness of the proposed scheme. (C) 2014 Wiley Periodicals, Inc.
引用
收藏
页码：14 / 19
页数：6
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