中国物理B ›› 2011, Vol. 20 ›› Issue (6): 60504-060504.doi: 10.1088/1674-1056/20/6/060504
郑海青1, 井元伟2
Zheng Hai-Qing(郑海青)a)† and Jing Yuan-Wei(井元伟)b)
摘要: This paper is concerned with the robust H∞ synchronization problem for a class of complex dynamical networks by applying the observer-based control. The proposed feedback control scheme is developed to ensure the asymptotic stability of the augmented system, to reconstruct the non-measurable state variables of each node and to improve the H∞ performance related to the synchronization error and observation error despite the external disturbance. Based on the Lyapunov stability theory, a synchronization criterion is obtained under which the controlled network can be robustly stabilized onto a desired state with a guaranteed H∞ performance. The controller and the observer gains can be given by the feasible solutions of a set of linear matrix inequalities (LMIs). The effectiveness of the proposed control scheme is demonstrated by a numerical example through simulation.
中图分类号: (Synchronization; coupled oscillators)