Robust master-slave synchronization for general uncertain delayed dynamical model based on adaptive control scheme.
In this paper, the robust exponential synchronization problem for a class of uncertain delayed master-slave dynamical system is investigated by using the adaptive control method. Different from some existing master-slave models, the considered master-slave system includes bounded unmodeled dynamics. In order to compensate the effect of unmodeled dynamics and effectively achieve synchronization, a novel adaptive controller with simple updated laws is proposed. Moreover, the results are given in terms of LMIs, which can be easily solved by LMI Toolbox in Matlab. A numerical example is given to illustrate the effectiveness of the method.
College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, PR China. Electronic address: tb_wang@163.com.
Tianbo
T
Wang
College of Information Sciences and Technology, Donghua University, Shanghai 200051, PR China.
Wuneng
W
Zhou
College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, PR China.
Shouwei
S
Zhao
College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, PR China.
Weiqin
W
Yu
Master–slave dynamical model; Robust synchronization; Stochastic effect; Time delay