{"title":"Global stabilization of circular orbit rendezvous by bounded linear feedback","authors":"Weiwei Luo , Wenbo Fu , Song Zhu , Chuanchuan Xu","doi":"10.1016/j.ast.2024.109814","DOIUrl":null,"url":null,"abstract":"<div><div>The global stabilization problem is revisited for the circular orbit spacecraft rendezvous system with actuator saturation. The linearized relative motion equation transformed into its Luenberger canonical form. It is noted that the system decomposed into a cascade of neutral stable linear systems, and bounded linear state feedback controllers for subsystems are designed respectively based on the absolute stability theory. The global stability of the closed-loop system is proved by providing explicit conditions on the parameters in the feedback gains. Optimal feedback gains are also discussed. Simulation results are given to show the effectiveness of the presented approaches.</div></div>","PeriodicalId":50955,"journal":{"name":"Aerospace Science and Technology","volume":"157 ","pages":"Article 109814"},"PeriodicalIF":5.0000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Aerospace Science and Technology","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S127096382400943X","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, AEROSPACE","Score":null,"Total":0}
引用次数: 0
Abstract
The global stabilization problem is revisited for the circular orbit spacecraft rendezvous system with actuator saturation. The linearized relative motion equation transformed into its Luenberger canonical form. It is noted that the system decomposed into a cascade of neutral stable linear systems, and bounded linear state feedback controllers for subsystems are designed respectively based on the absolute stability theory. The global stability of the closed-loop system is proved by providing explicit conditions on the parameters in the feedback gains. Optimal feedback gains are also discussed. Simulation results are given to show the effectiveness of the presented approaches.
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