Prescribed-time control for spacecraft formation flying with uncertainties and disturbances

Xiaowei Shao; Li Chen; Junli Chen; Dexin Zhang; Xiaowei Shao; Li Chen; Junli Chen; Dexin Zhang

doi:10.3934/math.2024058

AIMS Mathematics

2024, Volume 9, Issue 1: 1180-1198. doi: 10.3934/math.2024058

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Research article

Prescribed-time control for spacecraft formation flying with uncertainties and disturbances

1.
School of Aeronautics and Astronauics, Shanghai JiaoTong University, Shanghai, China
2.
Beijing Institute of Tracking and Telecommunications Technology (BITTT), Beijing, China

Received: 07 September 2023 Revised: 23 September 2023 Accepted: 07 October 2023 Published: 07 December 2023
MSC : 34H05, 37N35, 93C10

The prescribed-time spacecraft formation flying problem with uncertainties and unknown disturbances is investigated. First, based on Lie group SE(3), the coupled 6-degrees-of-freedom kinematics and dynamics for spacecraft with uncertainties and unknown disturbances are introduced. Second, with the aid of some key properties of a class of parametric Lyapunov equations, novel prescribed-time control laws are designed. It is proved that the proposed control laws can drive the relative motion between the leader spacecraft and follower spacecraft to zero in any prescribed time and are bounded. Finally, numerical simulations verify the effectiveness of the proposed control scheme.
- spacecraft formation flying,
- uncertainties,
- unknown disturbance,
- prescribed-time control,
- time-varying feedback
Citation: Xiaowei Shao, Li Chen, Junli Chen, Dexin Zhang. Prescribed-time control for spacecraft formation flying with uncertainties and disturbances[J]. AIMS Mathematics, 2024, 9(1): 1180-1198. doi: 10.3934/math.2024058

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Abstract

The prescribed-time spacecraft formation flying problem with uncertainties and unknown disturbances is investigated. First, based on Lie group SE(3), the coupled 6-degrees-of-freedom kinematics and dynamics for spacecraft with uncertainties and unknown disturbances are introduced. Second, with the aid of some key properties of a class of parametric Lyapunov equations, novel prescribed-time control laws are designed. It is proved that the proposed control laws can drive the relative motion between the leader spacecraft and follower spacecraft to zero in any prescribed time and are bounded. Finally, numerical simulations verify the effectiveness of the proposed control scheme.

References

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