基于观测器的一类输出耦合网络参数辨识

Observer-based approach of parameter identification for a class of output-coupling complex dynamical networks

诸多复杂网络控制方法一般都是在网络节点动力学的参数已知的前提下提出的。然而实际工程中,由于节点系统的复杂性,它的某些参数难以测量或者确定,参数辨识问题一直是系统控制和同步领域中的重要课题。本文针对一类输出耦合复杂动态网络模型,提出一种基于观测器的网络节点未知参数辨识方法。基于网络外部同步思想构造响应网络,利用网络中可测的节点输出变量设计自适应控制器。根据Lyapunov稳定性定理推导出控制器所需条件,进而辨识出节点参数。最后,通过仿真验证本文方法的有效性。

Many methods of control theory and synchronization for complex networks are on the condition of known node＇s parameters.However,in practical engineering,some parameters of node are uncertain or difficult to measure because of complexity of the node system.So parameters identification is a challenging issue in the field of control and synchronization of complex dynamical networks.Based on state observer theory,an approach of parameters identification for a class of output-coupling complex dynamical networks is proposed in this paper.We construct a responsible network according to network outer synchronization.The node＇s output variable can be measured easily,which is used to design the adaptive controller.Based on the Lyapunov stability theorem,some conditions are derived to design the controller.The proposed approach can be applied to identify the unknown parameters.Finally,numerical simulations are given to verify the effectiveness of the proposed approach.