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    This study introduces a new control method for spacecraft formations, using a novel observer to precisely manage attitude and position despite uncertainties. The approach ensures stable formation control within a predefined time.

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    Area of Science:

    • Aerospace Engineering
    • Control Theory
    • Robotics

    Background:

    • Spacecraft formation control is crucial for missions requiring coordinated operations.
    • Inertia uncertainties and external disturbances pose significant challenges to formation stability.
    • Existing control methods often struggle with precise and rapid disturbance rejection.

    Purpose of the Study:

    • To develop an attitude-position integrated control strategy for spacecraft formations.
    • To address uncertainties and external disturbances using a novel predefined-time extended state observer (ESO).
    • To achieve predefined-time stability for spacecraft formation control.

    Main Methods:

    • Mathematical modeling of spacecraft formation using dual quaternion representation.
    • Development of a novel predefined-time extended state observer (ESO) for perturbation estimation.
    • Design of a predefined-time attitude-position integrated control scheme.
    • Lyapunov stability theory for proving closed-loop system stability.

    Main Results:

    • The proposed predefined-time ESO effectively estimates total system perturbations.
    • The novel control scheme achieves attitude-position integrated control within a predefined time.
    • Simulations confirm the superior performance and effectiveness of the proposed methods compared to existing approaches.

    Conclusions:

    • The developed predefined-time ESO and integrated control strategy offer a robust solution for spacecraft formation control.
    • The method enhances formation stability and precision in the presence of uncertainties and disturbances.
    • This work represents a significant advancement in autonomous spacecraft formation management.