非线性姿态镇定控制律设计与仿真研究

研究了具有轴对称特性的飞行器姿态镇定问题。根据球极投影原理引入两个姿态角的微分同胚映射，将原姿态运动模型变换为一新的形式；并在此基础上，通过将飞行器的一个旋转角速度分量先镇定到原点，得到了具有串级形式降维的姿态系统模型。根据降维模型的特点，渐近得出完整的姿态镇定控制律，并用Ｍａｔｌａｂ语言和Ｓｉｍｕｌｉｎｋ实现了系统仿真模型。仿真结果证明了本方法的有效性。

Control Law Design and Simulation of a Nonlinear Attitude System

The problem of attitude stabilization of an axisymmetric spacecraft is studied in this paper. By stereografially projecting a new complex variable which is locally diffeomorphic to two of the attitude angles is introduced. Meanwhile the new formulation of the attitude kinematics is obtained. Based on this, one component of the body angular velocity is firstly stabilized to the origin. Thus the reduced dimensional attitude model in cascade form is gained. Regarding to the reduced dimensional attitude model, the intergrated attitude stabilization control law is gradually derived. The simulation model is implemented using the Matlab language and Simulink simulation software. The simulation result shows the validity of the method.