挠性航天器快速大角度机动的非线性模型与控制

NONLINEAR MODEL AND CONTROL FOR LARGE ANGLE RAPID MANEUVERING OF A FLEXIBLE SPACECRAFT

研究一类构形为中心刚性带挠性梁的航天器平面快速大角度机动的动力学与控制问题。利用Ｈａｍｉｌｔｏｎ原理，建立了系统的非线性无穷维动力学模型；在只可测量刚性主体旋转角及其速率的情况下，设计了一种线性反馈控制方案，并应用ＬａＳａｌｅ不变原理证明了相应闭环系统的渐近稳定性。

This paper is concerned with the dynamics and control for planar,large angle rapid slew maneuvering of a flexible multi body spacecraft,consisting of a rigid central body and a flexible beam.Nonlinear infinite dimensional model of the system is derived by employing the Hamilton's principle.By using the measurements of the attitude angle of the rigid central body and its velocity only,a kind of linear feedback control law is presented.Based upon LaSalle's invariance principle,it is shown that the implementation of the control algorithm results in asymptotic stability of the closed loop system.