Controlling the Fractional-Order Chaotic System Based on Inverse Optimal Control Approach

被引：0
|
作者：
Gao, Xin [1 ]
机构：
[1] SW Nationalities Univ, Coll Elect Informat & Engn, Chengdu 610041, Sichuan, Peoples R China
来源：
ADVANCED MATERIALS AND COMPUTER SCIENCE, PTS 1-3 | 2011年 / 474-476卷
关键词：
chaos; fractional derivatives and integrals; control; INTEGER;
D O I：
10.4028/www.scientific.net/KEM.474-476.108
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we numerically investigate the chaotic behaviors of a fractional-order system. We find that chaotic behaviors exist in the fractional-order system with an order being less than 3. The lowest order we find to have chaos is 2.4 in such system. In addition, we numerically simulate the continuances of the chaotic behaviors in the fractional-order system with orders ranging from 2.7 to 3. Finally, a simple, but effective, linear state feedback controller is proposed for controlling the fractional-order chaotic system based on an inverse optimal control approach. Numerical simulations show the effectiveness and feasibility of the proposed controller.
引用
收藏
页码：108 / 113
页数：6
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