Title :
Adaptive synchronization of unified chaotic system with uncertainties and time delay
Author :
Yang, Jie ; Qi, Donglian ; Zhao, Guangzhou
Author_Institution :
Coll. of Electr. Eng., Zhejiang Univ., Hangzhou, China
Abstract :
A synchronization control approach for unified chaotic system with uncertainties and time delay is presented using passive control theory. The stability of the synchronization error system is studied so that the unified chaotic system can be synchronized with uncertainties and channel time delay. Because the chaotic trajectory is limitary and the nonlinear function of the unified chaotic system satisfies Lipschitz condition, the error system transformed by synchronization error system can be globally asymptotically stabilized by state feedback, therefore it implements the synchronization control of unified chaotic system with uncertainties and time delay. Simulation results show that the adaptive passive synchronization scheme is efficient, and the generalized synchronization can also be realized.
Keywords :
adaptive control; asymptotic stability; chaos; delays; nonlinear control systems; state feedback; synchronisation; uncertain systems; Lipschitz condition; adaptive passive synchronization scheme; asymptotic stabilization; channel time delay; chaotic trajectory; passive control theory; state feedback; synchronization control approach; synchronization error system; uncertainties; unified chaotic system; Chaos; Chaotic communication; Control systems; Control theory; Delay effects; Educational institutions; Error correction; Master-slave; Phase locked loops; Uncertainty; Unified chaotic system; synchronization control; uncertainties and time delay;
Conference_Titel :
Automation and Logistics, 2009. ICAL '09. IEEE International Conference on
Conference_Location :
Shenyang
Print_ISBN :
978-1-4244-4794-7
Electronic_ISBN :
978-1-4244-4795-4
DOI :
10.1109/ICAL.2009.5262876