Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach

被引：146
|
作者：
Yin, Chun [1 ,2 ]
Dadras, Sara [2 ,3 ]
Zhong, Shou-ming [1 ,4 ]
Chen, YangQuan [2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
[2] Utah State Univ, Elect & Comp Engn Dept, CSOIS, Logan, UT 84322 USA
[3] Tarbiat Modares Univ, Dept Elect Engn, Automat & Instruments Lab, Tehran, Iran
[4] Univ Elect Sci & Technol China, Key Lab Neuroinformat, Minist Educ, Chengdu 611731, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Fractional-order chaotic system; Adaptive sliding mode control; Chaos; Uncertainty; External disturbance; SYNCHRONIZATION; STABILITY; FEEDBACK; DELAY;
D O I：
10.1016/j.apm.2012.06.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, an adaptive sliding mode controller for a novel class of fractional-order chaotic systems with uncertainty and external disturbance is proposed to realize chaos control. The bounds of the uncertainty and external disturbance are assumed to be unknown. Appropriate adaptive laws are designed to tackle the uncertainty and external disturbance. In the adaptive sliding mode control (ASMC) strategy, fractional-order derivative is introduced to obtain a novel sliding surface. The adaptive sliding mode controller is shown to guarantee asymptotical stability of the considered fractional-order chaotic systems in the presence of uncertainty and external disturbance. Some numerical simulations demonstrate the effectiveness of the proposed ASMC scheme. (c) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：2469 / 2483
页数：15
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