中国物理B ›› 2011, Vol. 20 ›› Issue (10): 100505-100505.doi: 10.1088/1674-1056/20/10/100505
齐冬莲, 王乔, 杨捷
Qi Dong-Lian(齐冬莲)†, Wang Qiao(王乔), and Yang Jie(杨捷)
摘要: Two different sliding mode controllers for a fractional order unified chaotic system are presented. The controller for an integer-order unified chaotic system is substituted directly into the fractional-order counterpart system, and the fractional-order system can be made asymptotically stable by this controller. By proving the existence of a sliding manifold containing fractional integral, the controller for a fractional-order system is obtained, which can stabilize it. A comparison between these different methods shows that the performance of a sliding mode controller with a fractional integral is more robust than the other for controlling a fractional order unified chaotic system.
中图分类号: (Control of chaos, applications of chaos)