Sliding Mode and LMI based Control for Fractional Order Unified Chaotic Systems
This paper investigates the chaos control problem for a class of fractional order unified chaotic systems. By introducing the sliding mode control method, a feedback controller is established to guarantee the asymptotical stability, and its parameter is obtained in terms of LMI, which can be easily obtained by Matlab’s LMI Toolbox. A dynamic compensator is designed to overcome the difficulty of dealing with the nonlinear items in the chaotic system. To reduce the chattering phenomenon, a power reaching law is adopted. The validity of the methods is verified by a numerical example.
Fractional order Chaos control Sliding mode Linear matrix inequality (LMI)
Yong-Hong Lan Lv-Jun He
School of Information Engineering, Xiangtan University, Xiangtan, Hunan 411105, P.R. China Key Labor School of Information Engineering, Xiangtan University, Xiangtan, Hunan 411105, P.R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
3192-3196
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）