Oscillator network synchronization by distributed control

The design and analysis of oscillator networks raise numbers of fundamental questions in systems and control. The stability and robustness of oscillator networks are the most significant challenges that must be addressed in control and communication design of such networks. In this paper we investigate the problem of synchronization in an oscillator network modeled by a non-uniform Kuramoto model. Conditions under which the network is synchronized, are studied and the procedure for designing distributed controllers, where information exchange between controllers occurs through communication network, is proposed. The guideline for designing communication topology for the overall distributed controllers is presented. Numerical studies are reported to validate the theoretical results and performance of distributed controllers.