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.