LMI-based stabilization of a class of fractional-order chaotic systems

被引：1
|
作者：
Mohammadreza Faieghi
Suwat Kuntanapreeda
Hadi Delavari
Dumitru Baleanu
机构：
[1] Islamic Azad University,Department of Electrical Engineering, Miyaneh Branch
[2] King Mongkut’s University of Technology North Bangkok,Department of Mechanical and Aerospace Engineering, Faculty of Engineering
[3] Hamedan University of Technology,Department of Electrical Engineering
[4] Cankaya University,undefined
[5] Institute of Space Sciences,undefined
来源：
Nonlinear Dynamics | 2013年 / 72卷
关键词：
Chaos control; Fractional-order systems; Interval system; Linear matrix inequality (LMI);
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on the theory of stabilization of fractional-order LTI interval systems, a simple controller for stabilization of a class of fractional-order chaotic systems is proposed in this paper. We consider the structure of the chaotic systems as fractional-order LTI interval systems due to the limited amplitude of chaotic trajectories. We introduce a simple feedback controller for the interval system and then, based on a recently established theorem for stabilization of interval systems, we reach to a linear matrix inequality (LMI) problem. Solving the LMI yields an appropriate decoupling feedback control law which suffices to bring the chaotic trajectories to the origin. Several illustrative examples are given which show the effectiveness of the method.
引用
收藏
页码：301 / 309
页数：8
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