Analysis of an adaptive hybrid control system which stabilizes unstable periodic orbits embedded in chaotic attractors

被引:0
作者
Prian Rodriguez, Manuel [1 ]
Lopez Sanchez, Manuel J. [1 ]
Moreno Verdulla, J. Francisco [1 ]
机构
[1] Univ Cadiz, Dept Ingn Automat Elect Arquitec & Redes Comp, Cadiz 11510, Spain
来源
REVISTA IBEROAMERICANA DE AUTOMATICA E INFORMATICA INDUSTRIAL | 2015年 / 12卷 / 02期
关键词
Hybrid control; adaptive control; unstable periodic orbit; reference model; synchronization; chaotic systems; IMPULSIVE CONTROL;
D O I
10.1016/j.riai.2014.11.012
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, an adaptive hybrid control method is proposed, which stabilizes chaotic systems in the neighborhood of unstable periodic orbits embedded in the chaotic dynamics of the process to control. The method is based on the joint action of two controllers (a continuous time controller and a discrete time controller) as well as on the phenomenon of adaptive synchronization of the plant with an specified reference model. In some cases, the method only needs a partial driven reference model. An stability analysis of the control system is performed and an algorithtm is proposed to facilitate the implementation of the method. Finally, numerical simulation results are shown.
引用
收藏
页码:154 / 165
页数:12
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