一类复杂动态网络的鲁棒H∞同步

摘要

针对一类由Lur'e系统组成的复杂动态网络,研究其鲁棒H∞同步问题,其中每个子系统所受的干扰为一个能量有界函数.基于Lyapunov稳定性理论,给出了使网络达到同步并能满足给定的H∞性能指标的同步判据,即一组LMIs有解,且所设计的控制器的参数可由LMIs的解给出.仿真中以蔡氏振荡器组成的复杂网络为例,验证了所提方法的有效性.%This paper deals with the problem of robust H∞ synchronization for a class of complex dynamical networks. Each node of the network is a general Lur'e system subject to an energy bounded input noise. Based on the Lyapunov stability theory, a synchronization criterion formulated in the form of linear matrix inequalities (LMIs) is obtained under which the controlled network can be robustly stabilized onto an expected homogeneous state with a guaranteed H∞ performance. The controller designed can be constructed via feasible solutions of LMIs. Finally, a dynamical network composed of identical Chua's oscillators is adopted as a numerical example to demonstrate the effectiveness of the proposed results.