圆轨道欠驱动航天器编队重构脉冲控制

Impulsive Control of Underactuated Spacecraft Formation Reconfiguration in Circular Orbits

针对圆轨道径向或迹向欠驱动航天器编队重构控制问题,提出了欠驱动脉冲控制方法。首先,基于圆轨道欠驱动航天器相对运动动力学模型,分析了两类欠驱动条件下的系统可控性和重构可行性。然后,解析推导了两类欠驱动条件下实现重构所需的最少脉冲次数以及对应的速度增量消耗。最后,设计数值仿真算例,验证了本文提出的欠驱动脉冲控制方法的正确性。仿真结果表明:径向和迹向欠驱动条件下均可实现圆轨道编队重构。与全驱动控制方法相比,欠驱动控制方法可有效避免由推力器故障引起的重构任务失效,故而提高了控制系统的灵活性与可靠性。

The paper investigates the impulsive control problem of underactuated spacecraft formation reconfiguration in circular orbits,with the loss of either the radial or in-track thrust.Firstly,based on the dynamical model of relative orbit motion in circular orbits,both system controllability and reconfiguration feasibility analyses are conducted for either underactuated case.Then,minimum impulse times and the corresponding velocity increment expenditure for formation reconfiguration are analytically derived.Finally,numerical simulations are presented to verify the validity of the proposed underactuated control schemes.Numerical results indicate that formation reconfiguration in circular orbits is still feasible even in the absence of radial or in-track thrust.In comparisons with the fully-actuated control method,the underactuated one proposed in this paper can effectively avoid the reconfiguration mission failure arising from the thruster malfunction,thus enhancing the adaptability and reliability of the control system.