应用齐次控制方法研究欠驱动航天器姿态稳定性问题。采用(w,z)参数描述航天器姿态的运动,在无扰力矩的假设下,给出欠驱动航天器的姿态动力学方程。通过分析系统模型的特点,确定系统的向量场I厂为齐次的,利用齐次系统理论和齐次反馈设计欠驱动航天器姿态角速度ωx和ωy的控制律,使系统姿态参数和角速度ω1、ω2、ω3趋于渐近稳定。数值仿真实验验证了控制律的有效性。
The problem of attitude stabilization for an underactuated spacecraft is studied with homogeneous control. The kinematic equation is described by the ( w, z) parameterization. The dynamic equation is given without disturbance. The vector fieldf of system is homogeneous. The control laws of tox and toy are designed based on the homogeneous system theory and homogeneous feedback. The parameters ω1 .ω2 ,ωz of the system is asymptotically stable under the action of tox and toy . Numerical simulation results show that the control scheme is effective.