Comparison between two different sliding mode controllers for a fractional-order unified chaotic system  

作　　者：齐冬莲 王乔 杨捷 

机构地区：[1]College of Electrical Engineering, Zhejiang University

出　　处：《Chinese Physics B》2011年第10期150-158,共9页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 60702023);the Natural Science Foundation of Zhejiang Province, China (Grant No. R1110443)

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.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.

关 键 词：unified chaotic system fractional-order system sliding mode control 

分 类 号：O415.5[理学—理论物理]