Design of PD controller for master-slave synchronization of Lur'e systems with time-delay

作者: Hongmei Guo , Shouming Zhong , Fengyin Gao

DOI: 10.1016/J.AMC.2009.01.080

关键词:

摘要: In this paper, design of PD controller for master-slave synchronization Lur'e systems with time-delay has been considered. A new delay-dependent criterion is derived based on the integral inequality method and free weighting matrices. The criteria are given in terms LMIs, which can be easily solved by LMI Toolbox Matlab. numerical example to illustrate effectiveness method.

参考文章(17)
Jack K. Hale, Sjoerd M. Verduyn Lunel, Introduction to Functional Differential Equations ,(1993)
Changchun Hua, Xinping Guan, Synchronization of chaotic systems based on PI observer design Physics Letters A. ,vol. 334, pp. 382- 389 ,(2005) , 10.1016/J.PHYSLETA.2004.11.050
Ji Xiang, Yanjun Li, Wei Wei, An improved condition for master–slave synchronization of Lur'e systems with time delay Physics Letters A. ,vol. 362, pp. 154- 158 ,(2007) , 10.1016/J.PHYSLETA.2006.06.068
MIN XIAO, JINDE CAO, BIFURCATION ANALYSIS AND CHAOS CONTROL FOR LÜ SYSTEM WITH DELAYED FEEDBACK International Journal of Bifurcation and Chaos. ,vol. 17, pp. 4309- 4322 ,(2007) , 10.1142/S0218127407019974
XIA HUANG, JINDE CAO, DANIEL W. C. HO, SYNCHRONIZATION CRITERIA FOR LUR'E SYSTEMS BY DYNAMIC OUTPUT FEEDBACK WITH TIME-DELAY International Journal of Bifurcation and Chaos. ,vol. 16, pp. 2293- 2307 ,(2006) , 10.1142/S0218127406016069
H.F. Chen, J.M. Liu, Open-loop chaotic synchronization of injection-locked semiconductor lasers with gigahertz range modulation IEEE Journal of Quantum Electronics. ,vol. 36, pp. 27- 34 ,(2000) , 10.1109/3.817635
Guo-Ping Jiang, Wei Xing Zheng, An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems Chaos, Solitons & Fractals. ,vol. 26, pp. 437- 443 ,(2005) , 10.1016/J.CHAOS.2005.01.012
Guilin Wen, Qing-Guo Wang, Yong He, Zhen Ye, Multivariable PD controller design for fast chaos synchronization of Lur'e systems Physics Letters A. ,vol. 363, pp. 192- 196 ,(2007) , 10.1016/J.PHYSLETA.2006.11.001