Title :
A new fractional-order chaotic system and its synchronization control
Author :
Shan, Liang ; Liu, Zhong ; Li, Jun ; Wang, Zhiquan
Author_Institution :
Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China
Abstract :
A new fractional-order chaotic system, fractional-order Lorenz-Stenflo (LS) system, is found in this paper. Chaos can exist in the fractional-order LS system with order as low as 3.6. The chaotic dynamics of this system is investigated. Then based on Laplace transformation theory, the controller of complete synchronization is designed for this system. Moreover using stability theory of linear fractional-order systems, generalized projected synchronization controller is presented. Numerical simulations are used to verify the effectiveness of the two proposed synchronization methods.
Keywords :
Laplace transforms; control system synthesis; nonlinear control systems; stability; synchronisation; Laplace transformation; chaotic dynamics; controller design; fractional-order Lorenz-Stenflo system; fractional-order chaotic system; stability; synchronization control; Automation; Calculus; Chaos; Control systems; Displays; Elasticity; Numerical simulation; Physics; Stability; Viscosity;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399795
