Synchronization of nonidentical complex dynamical networks with unknown disturbances via observer-based sliding mode control

Abstract

This paper studies globally asymptotical synchronization of nonidentical complex dynamical networks in presence of time delays and unknown disturbances. Based on the idea of sliding mode control, we propose the observer-based sliding mode control scheme to deal with the synchronization of nonidentical complex dynamical networks, where the unknown disturbances are estimated by the disturbance observer. Moreover, the designed sliding mode controller not only guarantee the reachability of the integral sliding surface but also overcome the influence of the disturbances in the control channel. Then, some sufficient conditions of globally asymptotical synchronization are derived via constructing some suitable Lyapunov–Krasovskii functionals and using linear matrix inequality technique. Finally, an example is given to demonstrate the applicability and the effectiveness of our method.