Synchronization of chaotic Lur'e systems with delayed feedback control using deadzone nonlinearity ⁄

作者: S.M Lee , O.M Kwon , Ju H Park

DOI: 10.1088/1674-1056/20/1/010506

关键词:

摘要: In this paper we present a synchronization method for chaotic Lur’e systems by constructing new piecewise Lyapunov function. Using delayed feedback control scheme, delay-dependent stability criterion is derived the of that are represented with deadzone nonlinearity. Based on Lyapunov{Krasovskii functional and using some properties nonlinearity, stabilization condition obtained via linear matrix inequality (LMI) formulation. The less conservative than existing ones, it will be verifled through numerical example.

参考文章(22)
M. Hasler, Synchronization principles and applications international symposium on circuits and systems. pp. 314- 327 ,(1994)
Austin Blaquière, Nonlinear system analysis ,(1966)
Leon O. Chua, Chua's circuit 10 years later International Journal of Circuit Theory and Applications. ,vol. 22, pp. 279- 305 ,(1994) , 10.1002/CTA.4490220404
Louis M. Pecora, Thomas L. Carroll, Synchronization in chaotic systems Physical Review Letters. ,vol. 64, pp. 821- 824 ,(1990) , 10.1103/PHYSREVLETT.64.821
Jinhu Lu, S. Yu, H. Leung, Guanrong Chen, Experimental verification of multidirectional multiscroll chaotic attractors IEEE Transactions on Circuits and Systems. ,vol. 53, pp. 149- 165 ,(2006) , 10.1109/TCSI.2005.854412
Dan Dai, Tingshu Hu, Andrew R. Teel, Luca Zaccarian, Piecewise-quadratic Lyapunov functions for systems with deadzones or saturations Systems & Control Letters. ,vol. 58, pp. 365- 371 ,(2009) , 10.1016/J.SYSCONLE.2009.01.003
Jinhu Lü, Fengling Han, Xinghuo Yu, Guanrong Chen, Generating 3-D multi-scroll chaotic attractors: A hysteresis series switching method Automatica. ,vol. 40, pp. 1677- 1687 ,(2004) , 10.1016/J.AUTOMATICA.2004.06.001
Tao Li, Jianjiang Yu, Zhao Wang, Delay-range-dependent synchronization criterion for Lur’e systems with delay feedback control Communications in Nonlinear Science and Numerical Simulation. ,vol. 14, pp. 1796- 1803 ,(2009) , 10.1016/J.CNSNS.2008.06.018
Andrew R. Teel, Laurent Praly, On Assigning the Derivative of a Disturbance Attenuation Control Lyapunov Function Mathematics of Control, Signals, and Systems. ,vol. 13, pp. 95- 124 ,(2000) , 10.1007/PL00009865
J. A. K. Suykens, L. O. Chua, n-Double Scroll Hypercubes in 1-D CNNs International Journal of Bifurcation and Chaos. ,vol. 07, pp. 1873- 1885 ,(1997) , 10.1142/S021812749700145X