临近空间对地观测平台的矢量化建模及稳定性分析  

Vector Modeling and Stability Analysis of a Near-space Earth Observation Platform

作　　者：杨跃能[1] 郑伟[1] 吴杰[1] 邹东升[1] 

机构地区：[1]国防科技大学航天与材料工程学院,湖南长沙410073

出　　处：《国防科技大学学报》2011年第3期28-32,共5页Journal of National University of Defense Technology

摘　　要：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。A vectored mathematical model and stability of a near-space earth observation platform are presented in this paper. First, the teA＇erence frames and motion parameters of the platform was defined. Then, a nonlinear six degrees of freedom mathematical model in vector form of the platform was derived based on Newton-ELder principle. Finally, stability of the platform was analyzed by means of Lyapunov stability theory. The results show that the platform is asymptotic stability for the equilibritan. The longitudinal motion and lateral motion of the platform under initial disturbances are both composed of two non-periodic attenuation modes and an oscillation attenuation mode. The fast attenuation mode is related to the angular velocity motion and reflects the process of moments balancing, while the slow attenuation mode is wAated to the linear velocity and reflects the process of forces balancing.

关 键 词：飞行动力学 矢量化运动方程 Lypunov稳定性理论 对地观测平台 临近空间 飞艇 

分 类 号：V212.1[航空宇航科学与技术—航空宇航推进理论与工程]