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研究了临近空间对地观测平台的矢量化建模和稳定性问题。定义了描述观测平台空间运动的坐标系及运动参数;在受力分析的基础上,根据Newton-Euler方程建立了矢量形式的六自由度非线性数学模型;基于此模型,应用Lyapunov稳定性理论对观测平台的稳定性进行了分析。研究结果表明:对于给定的未扰运动,观测平台是渐近稳定的;纵向和横侧向的自由扰动运动均由两个非周期衰减模态和一个振荡衰减模态叠加而成;观测平台受到瞬时扰动后,快衰减运动模态主要同转动运动有关,反映了受扰后力矩的平衡过程,而慢衰减运动模态主要同线速度运动有关,反映了受扰后力的平衡过程。
The vectorization modeling and stability of the near-Earth observation platform are studied. Based on the analysis of the force, a six-degree-of-freedom nonlinear mathematical model in vector form is established based on the Newton-Euler equation. Based on this model, the Lyapunov stability theory is used to describe the coordinate system and motion parameters of the observational platform. The stability of the observation platform was analyzed. The results show that the observational platform is asymptotically stable for a given undisturbed motion, and both free-motion disturbances in both longitudinal and lateral directions are superimposed by two nonperiodic and one attenuated modes. The observational platform After instantaneous disturbance, the fast-decaying mode of motion is mainly related to the rotational motion, which reflects the balance of the disturbed moment. The slow-decaying mode of motion is mainly related to the linear velocity motion, which reflects the balance of disturbed forces.