Fixed-time sliding mode attitude control of a flexible spacecraft with rotating appendages connected by magnetic bearing

Gaowang Zhang; Feng Wang; Jian Chen; Huayi Li; Gaowang Zhang; Feng Wang; Jian Chen; Huayi Li

doi:10.3934/mbe.2022106

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 3: 2286-2309. doi: 10.3934/mbe.2022106

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Fixed-time sliding mode attitude control of a flexible spacecraft with rotating appendages connected by magnetic bearing

Research Center of the Satellite Technology, Harbin Institute of Technology, Harbin 150080, China

Received: 12 September 2021 Revised: 05 December 2021 Accepted: 22 December 2021 Published: 04 January 2022

This study focuses on the attitude control of a flexible spacecraft comprising rotating appendages, magnetic bearings, and a satellite platform capable of carrying flexible solar panels. The kinematic and dynamic models of the spacecraft were established using Lagrange methods to describe the translation and rotation of the spacecraft system and its connected components. A simplified model of the dynamics of a five-degrees-of-freedom (DOF) active magnetic bearing was developed using the equivalent stiffness and damping methods based on the magnetic gap variations in the magnetic bearing. Next, a fixed-time sliding mode control method was proposed for each component of the spacecraft to adjust the magnetic gap of the active magnetic bearing, realize a stable rotation of the flexible solar panels, obtain a high inertia for the appendage of the spacecraft, and accurately control the attitude. Finally, the numerical simulation results of the proposed fixed-time control method were compared with those of the proportional-derivative control method to demonstrate the superiority and effectiveness of the proposed control law.
- active magnetic bearing,
- fixed-time control,
- rotating appendages,
- flexible spacecraft
Citation: Gaowang Zhang, Feng Wang, Jian Chen, Huayi Li. Fixed-time sliding mode attitude control of a flexible spacecraft with rotating appendages connected by magnetic bearing[J]. Mathematical Biosciences and Engineering, 2022, 19(3): 2286-2309. doi: 10.3934/mbe.2022106

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Abstract

This study focuses on the attitude control of a flexible spacecraft comprising rotating appendages, magnetic bearings, and a satellite platform capable of carrying flexible solar panels. The kinematic and dynamic models of the spacecraft were established using Lagrange methods to describe the translation and rotation of the spacecraft system and its connected components. A simplified model of the dynamics of a five-degrees-of-freedom (DOF) active magnetic bearing was developed using the equivalent stiffness and damping methods based on the magnetic gap variations in the magnetic bearing. Next, a fixed-time sliding mode control method was proposed for each component of the spacecraft to adjust the magnetic gap of the active magnetic bearing, realize a stable rotation of the flexible solar panels, obtain a high inertia for the appendage of the spacecraft, and accurately control the attitude. Finally, the numerical simulation results of the proposed fixed-time control method were compared with those of the proportional-derivative control method to demonstrate the superiority and effectiveness of the proposed control law.

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