Finite-Time Contractive Control of Spacecraft Rendezvous System

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Bibliographic Details
Title: Finite-Time Contractive Control of Spacecraft Rendezvous System
Authors: Jing Sheng, Yunhai Geng, Min Li, Baolong Zhu
Source: Mathematics, Vol 11, Iss 8, p 1871 (2023)
Publisher Information: MDPI AG
Publication Year: 2023
Collection: Directory of Open Access Journals: DOAJ Articles
Subject Terms: finite-time contractive stability, state feedback control, spacecraft rendezvous system, cone complementary linearization, C-W equations, Mathematics, QA1-939
Description: In this paper we investigate the problem of a finite-time contractive control method for a spacecraft rendezvous control system. The dynamic model of relative motion is formulated by the C-W equations. To improve the convergent performance of the spacecraft rendezvous control system, a finite-time contractive control law is introduced. Lyapunov’s direct method is employed to obtain the existence condition of the desired controllers. The controller parameter can be obtained with the help of the cone complementary linearization algorithm. A numerical example verifies the effectiveness of the obtained theoretical results.
Document Type: article in journal/newspaper
Language: English
Relation: https://www.mdpi.com/2227-7390/11/8/1871; https://doaj.org/toc/2227-7390; https://doaj.org/article/71bb0407074345ffb37bd301c66396c3
DOI: 10.3390/math11081871
Availability: https://doi.org/10.3390/math11081871
https://doaj.org/article/71bb0407074345ffb37bd301c66396c3
Accession Number: edsbas.F4396EB6
Database: BASE
Description
Abstract:In this paper we investigate the problem of a finite-time contractive control method for a spacecraft rendezvous control system. The dynamic model of relative motion is formulated by the C-W equations. To improve the convergent performance of the spacecraft rendezvous control system, a finite-time contractive control law is introduced. Lyapunov’s direct method is employed to obtain the existence condition of the desired controllers. The controller parameter can be obtained with the help of the cone complementary linearization algorithm. A numerical example verifies the effectiveness of the obtained theoretical results.
DOI:10.3390/math11081871