固定阶次H_(∞)控制器在天线伺服系统的应用  

Application of Fixed-order H_(∞) Controllers in Antenna Servo System

作　　者：黄观钦 闻成[1] 卢洁莹[1] 苏为洲[1] HUANG Guanqin;WEN Cheng;LU Jieying;SU Weizhou(School of Automation Science and Engineering,South China University of Technology,Guangzhou 510640,China)

机构地区：[1]华南理工大学自动化科学与工程学院,广东广州510640

出　　处：《无线电工程》2022年第5期864-871,共8页Radio Engineering

基　　金：国家自然科学基金(61933006)。

摘　　要：H_(∞)控制器虽拥有优异的理论性能,但却鲜有在天线伺服系统上的应用,过高的阶次是限制H_(∞)控制器应用的重要因素。为解决H_(∞)控制器的高阶次问题,探索了一种基于LMI和互质因式分解的固定阶次H_(∞)控制器设计方法。基于互质因式分解的控制器Youla参数化方法,引出一个保H_(∞)性能控制器降阶的充分条件;利用KYP引理,把此充分条件转化为固定阶次H_(∞)控制器设计问题,并以LMI的形式给出此固定阶次控制器的解。通过天线伺服系统上的仿真和实验,验证了所提算法的有效性和实用性,所得固定阶次H_(∞)控制器性能优于传统方法H_(∞)控制器和常用PI控制器。H_(∞) controllers have excellent theoretical performance,they are rarely used in antenna servo system due to their high order.In order to eliminate the negative impact of high-order H_(∞) controllers,a fixed-order controller design method based on LMI and coprime factorization is explored.First of all,the Youla parameterization method of controllers based on coprime factorization leads to a sufficient condition for controller order reduction guaranteeing H_(∞) performance.Then using the KYP lemma,this sufficient condition is transformed into a fixed-order H_(∞) controller design problem,and finally the solution of the fixed-order controller is given in the form of LMI.Through simulation and experiment on antenna servo system,the effectiveness and practicality of the proposed algorithm are verified,and the performance of the fixed-order H_(∞) controller obtained is better than that of traditional method based H_(∞) controller and common PI controller.

关 键 词：固定阶次 H_(∞)控制器 YOULA参数化 KYP引理 LMI 天线伺服系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]