Title :
Robust synchronization of incommensurate fractional-order chaotic systems via second-order sliding mode technique
Author :
Hua Chen ; Wen Chen ; Bingyan Chen
Author_Institution :
Math. & Phys. Dept., Hohai Univ., Changzhou, China
Abstract :
In this paper, a second-order sliding mode (SOSM) controller is proposed to synchronize a class of incommensurate fractional-order chaotic systems with model uncertainties and external disturbances. Based on the chattering free SOSM control scheme, it can be rigorously proved that the dynamics of the synchronization error is globally asymptotically stable by using the Lyapunov stability theorem.
Keywords :
Lyapunov methods; asymptotic stability; nonlinear control systems; robust control; synchronisation; variable structure systems; Lyapunov stability theorem; SOSM controller; chattering free SOSM control scheme; external disturbances; global asymptotic stability; incommensurate fractional-order chaotic systems; model uncertainties; robust synchronization; second-order sliding mode technique; synchronization error; Chaos; Fractional calculus; Robustness; Sliding mode control; Synchronization; Robust synchronization; fractional-order chaotic systems; second-order sliding mode;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
