Title :
A new piecewise fractional-order chaotic system and its successive mismatch synchronization
Author :
Shan Liang ; Liu Zhong ; Min Fuhong ; Li Jun ; Wang Zhiquan
Author_Institution :
Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China
Abstract :
In this paper a new piecewise fractional-order chaotic system is found, which is named as PFLS (piecewise fractional-order Lorenz-Stenflo) system. Chaos can exist in PFLS system with order as low as 3.44. And then the new successive mismatch synchronization method is proposed for the PFLS chaotic system. The method can direct the state vectors between the drive system and response system to synchronize in disorder. The idea is firstly applied to fractional-order chaotic systems. Based on Laplace transformation theory, the controller of mismatch synchronization is designed for 3.6-order PFLS system. Simulation results are presented to demonstrate the effectiveness of the proposed method.
Keywords :
Laplace transforms; chaos; nonlinear control systems; synchronisation; Laplace transformation theory; chaos; drive system; piecewise fractional-order Lorenz-Stenflo system; piecewise fractional-order chaotic system; response system; state vectors; successive mismatch synchronization; Chaos; Educational institutions; Fractional calculus; Linear approximation; Shape; Synchronization; Fractional-order chaotic system; chaotic synchronization; successive mismatch synchronization;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6
