复杂网络输出反馈量化同步控制  

Output feedback quantization synchronization control of complex networks

作　　者：石宇静 胡昌敏 李善强 SHI Yu-jing;HU Chang-min;LI Shan-qiang(Department of Computer Science and Mathematics,Fujian University of Technology,Fuzhou 350118,China;Department of Applied Mathematics,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]福建工程学院计算机科学与数学学院,福建福州350118 [2]哈尔滨理工大学数学系,黑龙江哈尔滨150080

出　　处：《电机与控制学报》2022年第5期135-142,共8页Electric Machines and Control

基　　金：国家自然科学基金项目(12171124,11371115);福建工程学院科研启动基金项目(GY-Z21215,GY-Z21216)。

摘　　要：针对复杂网络包含节点较多,且其节点状态测量成本过高的问题,提出复杂网络输出反馈量化同步控制方法。为了减轻信号传输对网络带宽的压力,采用对数量化器对控制输入信号进行量化,并利用范数有界不确定性的方法处理控制量化问题。通过设计状态观测器获得网络节点的状态估计值,以此为基础给出了复杂网络的输出反馈量化同步控制器的设计方法。通过求解线性矩阵不等式,可同时获得观测器增益矩阵和控制器增益矩阵。根据Lyapunov稳定性理论,证明了观测误差动态系统以及同步误差动态系统的渐近稳定性。最后,利用蔡氏电路网络的仿真验证了所提方法的可行性和有效性。In order to solve the problem that complex networks contain many nodes and the cost of state measurement of nodes is high,an output feedback quantization synchronization control method for complex networks was presented.Firstly,in order to reduce the pressure of signal transmission on network bandwidth,the logarithmic quantizer was used to quantify the control input signal and the norm bounded uncertainty method was used to deal with the control quantization problem.Secondly,the state estimates of network nodes were obtained by designing state observers,and base of which the design method of output feedback quantization synchronization controller for complex networks was given.Thirdly,by solving linear matrix inequalities,the observer and controller gain matrices are obtained simultaneously.Then,according to Lyapunov stability theory,the asymptotic stability of observation error and synchronization error dynamic systems was proved.Finally,the feasibility and effectiveness of the proposed method are verified by the simulation of Chua’s circuit networks.

关 键 词：复杂网络 输出反馈 同步控制 对数量化器 线性矩阵不等式 蔡氏电路 

分 类 号：O415.5[理学—理论物理] O231.2[理学—物理]