基于李群谱配点法的卫星姿态仿真

Lie Group Spectral Collocation Method for the Attitude Simulation of Satellites

关键词:  李群  谱配点法  几何动力学  卫星姿态

Key words:  Lie group  Spectral-collocation methods  Geometric dynamics  Satellite attitude

摘要:

为了提高卫星姿态控制系统仿真的精度、可信性和长时间稳定性，提出了一种基于李群谱配点法的卫星姿态仿真方法。对于李群上动力学系统的仿真，李群谱配点法具有独特的优势，不仅能很好地保持系统的几何结构，而且具有几何收敛性。主要结合李群算法和谱方法各自的优势，给出了几何动力学与控制系统李群谱配点法的构造方法并将该算法应用于欠驱动卫星系统的姿态控制系统仿真中。

Abstract:

In order to improve the simulation accuracy, credibility and long-time stability of satellite control systems, an attitude simulation method based on Lie group spectralcollocation algorithm is proposed. Lie group spectral-collocation algorithm has its unique advantages for the simulation of dynamical systems evolving on Lie groups. It can not only keep the geometry structure of the system, but also converge geometrically. The construction of Lie group spectral-collocation method is introduced for the simulation of dynamical and control systems and it is applied in the simulation of attitude control of an underactuated satellite.