信道受限的参数不确定网络控制系统滤波器设计  

Filtering Design for Uncertain Parameter Networked Control Systems with Channel Constraints

作　　者：马运强 吴勇 甘泉 MA Yunqiang;WU Yong;GAN Quan(School of Electrical Engineering,Anhui Technical College of Mechanical and Electrical Engineering,Wuhu 241000,China;State Grid Anhui Lujiang Power Supply Company,Lujiang 231500,China)

机构地区：[1]安徽机电职业技术学院电气工程学院,安徽芜湖241000 [2]国网安徽省庐江县供电公司,安徽庐江231500

出　　处：《湖北民族大学学报（自然科学版）》2021年第3期332-337,共6页Journal of Hubei Minzu University:Natural Science Edition

基　　金：安徽高校自然科学研究项目(KJ2019A1162,KJ2019A1155);安徽省质量工程项目(2019jyxm0752,2020dsgzs12).

摘　　要：针对存在信道受限和外部信号干扰的参数不确定网络控制系统,研究了一类H_(∞)滤波器设计问题,以提高控制系统鲁棒性.使用独立伯努利序列构建信道受限网络通信模型,运用参数分离法分解控制系统矩阵中不确定参数项;在此基础上,通过构建含有两个子系统的离散切换系统描述滤波误差系统,利用李雅普诺夫函数和离散切换系统理论证明滤波误差系统渐近稳定并具有H_(∞)性能指标,通过线性矩阵不等式给出滤波器参数求解的方法.实验结果表明最优性能指标γ^(*)=1.6294,具有较低的保守性.所设计参数不确定的H_(∞)滤波器较好的跟踪控制系统,消除外部信号的干扰.Aiming an uncertain parameter network control systems with channel constraints and external signal interference,the problem of H_(∞) filtering design is studied to improve the robustness of the control system.The channel constrained network communication model is established by an independent Bernoulli sequence,and the uncertain parameters of the matrix for the control system are decomposed by the parameter separation method;On this basis,the filter error system is described by a discrete switching system with two subsystems,the asymptotic stability and H_(∞) performance index for the filter error system are proved by Lyapunov function and discrete switching system theory,the method of solving filter parameters is given by linear matrix inequality.The experimental results show that the optimal performance index γ^(*)=1.6294 has a low conservative and the designed H_(∞) filter with uncertain parameters can better track the control system and eliminate the interference of external signals.

关 键 词：信道受限 伯努利 参数不确定的H∞滤波器 参数分离法 渐近稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]