{"title":"扰动作用下双级联机电系统的控制","authors":"I.M. Anan’evskii, T.A. Ishkhanyan","doi":"10.1016/j.jappmathmech.2017.02.001","DOIUrl":null,"url":null,"abstract":"<div><p>The control of a precision turntable mounted on an orbital spacecraft and designed to reduce the apparent acceleration of a container with a gravitationally sensitive load fixed on the platform is investigated. The platform is modelled by an electromechanical system consisting of three rigid bodies successively connected via electrical motors. All the bodies are able to rotate about a common axis. It is assumed that in the drive bearings there is friction, the parameters of which are unknown and variable, and the torques created by the friction are comparable in magnitude with the acceleration to be reduced. A feedback control law is proposed, which, within a finite time interval, ensures the specified motion of the container relative to the platform.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"80 5","pages":"Pages 361-368"},"PeriodicalIF":0.0000,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.02.001","citationCount":"4","resultStr":"{\"title\":\"Control of a double-cascade electromechanical system subject to perturbations\",\"authors\":\"I.M. Anan’evskii, T.A. Ishkhanyan\",\"doi\":\"10.1016/j.jappmathmech.2017.02.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The control of a precision turntable mounted on an orbital spacecraft and designed to reduce the apparent acceleration of a container with a gravitationally sensitive load fixed on the platform is investigated. The platform is modelled by an electromechanical system consisting of three rigid bodies successively connected via electrical motors. All the bodies are able to rotate about a common axis. It is assumed that in the drive bearings there is friction, the parameters of which are unknown and variable, and the torques created by the friction are comparable in magnitude with the acceleration to be reduced. A feedback control law is proposed, which, within a finite time interval, ensures the specified motion of the container relative to the platform.</p></div>\",\"PeriodicalId\":49686,\"journal\":{\"name\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"volume\":\"80 5\",\"pages\":\"Pages 361-368\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.02.001\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021892817300011\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pmm Journal of Applied Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021892817300011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Control of a double-cascade electromechanical system subject to perturbations
The control of a precision turntable mounted on an orbital spacecraft and designed to reduce the apparent acceleration of a container with a gravitationally sensitive load fixed on the platform is investigated. The platform is modelled by an electromechanical system consisting of three rigid bodies successively connected via electrical motors. All the bodies are able to rotate about a common axis. It is assumed that in the drive bearings there is friction, the parameters of which are unknown and variable, and the torques created by the friction are comparable in magnitude with the acceleration to be reduced. A feedback control law is proposed, which, within a finite time interval, ensures the specified motion of the container relative to the platform.
期刊介绍:
This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.