Finite-Time Contractive Control of Spacecraft Rendezvous System

Jing Sheng, Yunhai Geng (), Min Li and Baolong Zhu
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Jing Sheng: School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
Yunhai Geng: School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
Min Li: Beijing Institute of Control Engineering, Beijing 100190, China
Baolong Zhu: School of Information and Automation, Qilu University of Technology, Jinan 250353, China

Mathematics, 2023, vol. 11, issue 8, 1-14

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.

Keywords: finite-time contractive stability; state feedback control; spacecraft rendezvous system; cone complementary linearization; C-W equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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