Title :
Synchronization of chaotic systems via sliding mode control with fractional approach law
Author :
Chen, Ning ; Wang, Naizhou
Author_Institution :
Nanjing Forestry Univ., Nanjing, China
Abstract :
Based on the theory of fractional order differential equation, a fractional order control law for Sliding Mode Control (SMC) is proposed in this paper. And a sliding mode controller is designed to synchronize the chaos motions between a slave Duffing system and a master Duffing system including a fractional integral item. Finally, Chaos synchronization in the two systems is investigated and the numerical results confirm the validity of the proposed control strategy.
Keywords :
differential equations; nonlinear control systems; variable structure systems; chaotic systems synchronization; fractional approach law; fractional order differential equation theory; master Duffing system; slave Duffing system; sliding mode control design; Chaos; Differential equations; Mathematical model; Nonlinear dynamical systems; Sliding mode control; Synchronization; Duffing system; chaos synchronization; fractional calculus; sliding mode control;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968391
