Title :
Adaptive reduced-order modified function projective synchronization of chaotic systems with uncertain parameters
Author_Institution :
Sch. of Electron. Inf. Eng., Taiyuan Univ. of Sci. & Technol., Taiyuan, China
Abstract :
This letter deals with the modified function projective synchronization of chaotic systems with different orders and uncertain parameters. The problem of synchronization of chaotic systems with different orders is translated into the synchronization of chaotic systems with same orders by using reduced-order method. Based on adaptive control and Lyapunov stability theory, the nonlinear controller with corresponding update laws are designed such that the two chaotic systems with different orders can be reduced-order modified function projective synchronized. Numerical simulations are presented to demonstrate the effectiveness of the proposed method.
Keywords :
Lyapunov methods; adaptive control; control system synthesis; nonlinear control systems; reduced order systems; stability; uncertain systems; Lyapunov stability theory; adaptive control; adaptive reduced-order modified function projective synchronization; chaotic system synchronization; nonlinear controller; uncertain parameters; Adaptive systems; Chaotic communication; Fractals; Solitons; Synchronization; Adaptive Control; Chaotic system; Modified Function Projective Synchronization; Reduced-Order;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244637