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空间姿态精确指向的抗退绕终端滑模控制

常欣展1,胥馨月1,张博2,董瀚林1,马志强1,肖冰1   

  1. 1. 西北工业大学
    2. 上海霄元创新中心
  • 收稿日期:2025-12-19 修回日期:2026-04-08 出版日期:2026-04-14 发布日期:2026-04-14
  • 通讯作者: 董瀚林
  • 基金资助:
    国家自然科学基金;国家自然科学基金;国家自然科学基金;中央高校基本科研业务项目

Anti-unwinding Terminal Sliding Mode Control for High-Precision Space Attitude Pointing

  • Received:2025-12-19 Revised:2026-04-08 Online:2026-04-14 Published:2026-04-14
  • Contact: Hanlin Dong

摘要: 针对基于四元数描述的经典终端滑模控制方法直接用于航天器姿态控制易引发姿态退绕的问题,考虑执行器输出受限、外部扰动幅值未知等控制综合要素,提出一种集成抗退绕与输入饱和抑制能力的终端滑模控制方法。首先,基于单位误差四元数构建刚体姿态跟踪动力学模型,提出一种新型终端滑模函数,并基于 Lyapunov 稳定性理论证明了姿态跟踪系统在相应滑模降阶系统上的有限时间稳定性与抗退绕性能。进一步运用含动态参数和辅助系统的控制律,确保系统状态在有限时间内收敛且保持全局抗退绕特性。通过引入非线性扰动观测器对集总扰动进行动态补偿,有效提升了系统的鲁棒性能。最后,仿真结果表明,该方法能够在 30s 内迅速完成高精度姿态指向,同时避免退绕现象的发生,其控制力矩满足 0.1N·m 的幅值约束,验证了所提方法的有效性。

关键词: 姿态控制, 四元数, 抗退绕, 终端滑模, 扰动观测器, 有限时间稳定性

Abstract: The quaternion-based classical terminal sliding mode (TSM) control methods tend to induce attitude unwinding problem when directly applied to spacecraft attitude control mission. Moreover, control practice must account for constraints such as actuator output limits and unknown external disturbances. To address these issues, this paper proposes a TSM control method that integrates both anti-unwinding and anti-windup capabilities. The system's kinematic and dynamic models are established based on the unit error quaternion. A new terminal sliding surface is designed, and the finite-time stability and unwinding resistance of the sliding mode are proven using an asymmetric Lyapunov function. Further, a control law with dynamic parameters and an auxiliary system is constructed to ensure finite-time convergence of system states and maintain global unwinding resistance. A nonlinear disturbance observer (DOB) is introduced for dynamic compensation of lumped disturbances, effectively enhancing system robustness. Simulation results show that the method completes the attitude pointing process within 30s, avoids unwinding, ensures the control torque meets the 0.1N·m amplitude constraint, and achieves significantly higher control accuracy than traditional methods, providing an innovative solution for high-precision spacecraft attitude control.

Key words: attitude control, quaternion, anti-unwinding, terminal sliding-mode control, disturbance observer, finite-time stability

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