一类复杂动态网络的鲁棒H_∞同步  

Robust H_∞ Synchronization of a Class of Complex Dynamical Networks

作　　者：郑海青[1] 井元伟[2] 

机构地区：[1]石家庄铁道大学电气与电子工程学院,石家庄050043 [2]东北大学信息科学与工程学院,沈阳110004

出　　处：《复杂系统与复杂性科学》2011年第3期67-73,共7页Complex Systems and Complexity Science

基　　金：国家自然科学基金(62074009);教育部暨辽宁省流程工业综合自动化重点实验室开放课题

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 robustH∞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 guaranteedH∞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.

关 键 词：复杂动态网络 Lur’e系统 鲁棒H∞同步 

分 类 号：O231[理学—运筹学与控制论]