Fractional-Order Chaos Control via Factional-Order Controller
This paper presents suppression of fractional-order Liu system via fractional-order sliding mode control. We stabilize the chaotic system to the origin via one control input in the presence of external disturbances and system uncertainties. The sliding mode controller is established based on a novel fractional-order integral type sliding surface. Based on Lyapunov stability theorem a sufficient conditions is obtained to guarantee the occurrence of sliding mode. It is shown that the controller has the merit of capability for both commensurate and incommensurate systems. Numerical simulations have been carried out to verify the significance of the controller.
Chaos control fractional-order chaotic system sliding mode control Lyapunov stability theorem fractional-order liu system.
D. M. Senejohnny H. Delavari
Young Researchers Club, Islamic Azad University, Tehran-Markaz Branch, Tehran, Iran Faculty of Electrical Engineering, Hamedan University of Technology, Hamedan, 65155 Iran
国际会议
The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)
南京
英文
1-5
2012-05-14（万方平台首次上网日期，不代表论文的发表时间）