Title :
Adaptive Synchronization of the Modified Chua´s Circuit Systems
Author :
Tian, Lingling ; Li, Donghai ; Sun, Xianfang
Author_Institution :
Sch. of Autom. Sci. & Electr. Eng., Beijing Univ. of Aeronaut. & Astronaut., Beijing, China
fDate :
March 31 2009-April 2 2009
Abstract :
This study addresses the synchronization of the modified Chua circuit systems with fully unknown parameters and nonlinearity in the control input. A simple robust controller with a single-state variable feedback and a nonlinear compensating mechanism is derived, such that the states of two modified chaotic systems are asymptotically synchronized. According to the Lyapunov stability theorem, the asymptotic stability of the solutions of the state error system is studied. A series of numerical simulations are given to explain the effectiveness and robustness of the designed simple robust controller. In simulation the Monte-Carlo method used to evaluate the robustness of the control system.
Keywords :
Chua´s circuit; Lyapunov methods; Monte Carlo methods; asymptotic stability; chaos; circuit feedback; control system synthesis; nonlinear control systems; robust control; synchronisation; Lyapunov stability theorem; Monte-Carlo method; adaptive synchronization; asymptotic stability; chaotic system; modified Chua circuit system; nonlinear compensating mechanism; robust controller; single-state variable feedback; state error system; Asymptotic stability; Chaos; Circuits; Control system synthesis; Control systems; Lyapunov method; Nonlinear control systems; Numerical simulation; Robust control; State feedback; Chaos synchronization; robust controller; the Mento-Carlo method; the modified Chua circuit system;
Conference_Titel :
Computer Science and Information Engineering, 2009 WRI World Congress on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-0-7695-3507-4
DOI :
10.1109/CSIE.2009.258