Reduced-order adaptive control design for the stabilization and synchronization of a class of nonlinear chaotic systems☆

作者: Jiang-Wen Xiao , Jiexuan Gao , Yuehua Huang , Yan-Wu Wang

DOI: 10.1016/J.CHAOS.2009.03.005

关键词:

摘要: Abstract Strategies to design reduced-order adaptive controllers using only part of the system states for stabilization one chaotic and synchronization two systems are proposed a general class systems. Compared with those existed results, presented in this paper can globally exponentially stabilize synchronize under certain conditions, therefore improve convergence rate control processes. Simulation results also verify effectiveness schemes.

参考文章(19)
M.T. Yassen, Adaptive control and synchronization of a modified Chua's circuit system Applied Mathematics and Computation. ,vol. 135, pp. 113- 128 ,(2003) , 10.1016/S0096-3003(01)00318-6
Teh-Lu Liao, Sheng-Hung Lin, Adaptive control and synchronization of Lorenz systems Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 336, pp. 925- 937 ,(1999) , 10.1016/S0016-0032(99)00010-1
Nastaran Vasegh, Vahid Johari Majd, Fuzzy model-based adaptive synchronization of time-delayed chaotic systems Chaos, Solitons & Fractals. ,vol. 40, pp. 1484- 1492 ,(2009) , 10.1016/J.CHAOS.2007.09.030
Hassan Salarieh, Mohammad Shahrokhi, Adaptive synchronization of two different chaotic systems with time varying unknown parameters Chaos Solitons & Fractals. ,vol. 37, pp. 125- 136 ,(2008) , 10.1016/J.CHAOS.2006.08.038
Yan-Wu Wang, Changyun Wen, Yeng Chai Soh, Jiang-Wen Xiao, Adaptive control and synchronization for a class of nonlinear chaotic systems using partial system states Physics Letters A. ,vol. 351, pp. 79- 84 ,(2006) , 10.1016/J.PHYSLETA.2005.10.055
MAKOTO ITOH, LEON O. CHUA, RECONSTRUCTION AND SYNCHRONIZATION OF HYPERCHAOTIC CIRCUITS VIA ONE STATE VARIABLE International Journal of Bifurcation and Chaos. ,vol. 12, pp. 2069- 2085 ,(2002) , 10.1142/S0218127402005704
AS Hegazi, HN Agiza, MM El-Dessoky, None, ADAPTIVE SYNCHRONIZATION FOR RÖSSLER AND CHUA'S CIRCUIT SYSTEMS International Journal of Bifurcation and Chaos. ,vol. 12, pp. 1579- 1597 ,(2002) , 10.1142/S0218127402005388
Yan-Wu Wang, Changyun Wen, Meng Yang, Jiang-Wen Xiao, Adaptive control and synchronization for chaotic systems with parametric uncertainties Physics Letters A. ,vol. 372, pp. 2409- 2414 ,(2008) , 10.1016/J.PHYSLETA.2007.11.066
S. Boccaletti, J. Kurths, G. Osipov, D.L. Valladares, C.S. Zhou, The synchronization of chaotic systems Physics Reports. ,vol. 366, pp. 1- 101 ,(2002) , 10.1016/S0370-1573(02)00137-0