各向同性线性系统理论研究综述  

An overview of isotropic linear systems theory

作　　者：周彬 任玉武 姜怀远 ZHOU Bin;REN Yu-wu;JIANG Huai-yuan(School of Astronautics,Harbin Institute of Technology,Harbin 150001,China;The 613th Research Institute of AVIC,Luoyang 471023,China)

机构地区：[1]哈尔滨工业大学航天学院,哈尔滨150001 [2]中国航空工业集团公司洛阳电光设备研究所,河南洛阳471023

出　　处：《控制与决策》2023年第9期2433-2443,共11页Control and Decision

基　　金：国家自然科学基金杰出青年项目(62125303);国家自然科学基金基础科学中心项目(62188101);中央高校基本科研业务费专项资金项目(HIT.BRET.2021008)。

摘　　要：各向同性线性系统作为一类特殊的线性系统,不仅具有广泛的应用背景,还具备许多一般线性系统不具有的特殊性质.鉴于此,系统地归纳总结各向同性线性系统的特点,特别是这类系统与其对应的复系数线性系统之间的关联;此外,讨论对各向同性线性系统设计各向同性反馈的必要性,并以航天器姿态控制系统为例介绍各向同性线性系统的具体应用实例;结合几类常见的可用各向同性线性系统描述的工程控制系统,对现有的相关结果进行归纳和介绍;最后对各向同性线性系统进一步的研究方向进行简单的展望.As a special kind of linear systems,isotropic linear systems not only have a wide range of engineering application background,but also have many special properties that are not available in general linear systems.In this paper,the characteristics of isotropic linear systems are systematically summarized,especially the relationship between the isotropic linear systems and their corresponding complex coefficient linear systems.In addition,the necessity of designing isotropic feedback for isotropic linear systems is also discussed,and the spacecraft attitude control system is introduced as a specific application example of isotropic linear systems.Combining several common types of engineering control systems that can be described by isotropic linear systems,the study status and existing results of isotropic linear systems are briefly summarized and discussed.Further research directions are briefly introduced at the end of this paper.

关 键 词：各向同性线性系统 复系数线性系统 各向同性反馈 航天器姿态控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]