Chaos in Fractional-Order Autonomous System and Its Control

摘要：

In this paper, we numerically investigate the chaotic behaviours of a fractional-order system. We find that chaotic behaviours 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 behaviours 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.

作者: Xin Gao

作者单位: School of Electrical and Information Engineering Southwest University for Nationalities of China Chengdu , Sichuan ,610041, P. R.China

会议类型: 国际会议

会议名称: 2006 International Conference on Communications,Circuits and Systems(第四届国际通信、电路与系统学术会议)

会议地点: 广西桂林

会议语种:英文

页码: 2577-2581

在线出版日期: 2006-06-25（万方平台首次上网日期，不代表论文的发表时间）