基于非线性观测器的控制力矩陀螺操纵律设计

为改善操纵性能,将单框架控制力矩陀螺(SGCMG)操纵律设计问题转化为非线性系统的状态观测问题,并基于状态观测理论,导出了一种新型的SGCMG操纵律.通过适当的参数选择,SGCMG操纵律可使操纵误差在理论上渐近收敛至零;不用计算Jacobi阵的伪逆,而代之以Jacobi阵的转置,从而避免了由Jacobi阵求伪逆带来的一系列问题.同时,该操纵律形式简单,计算量小,易于实现.对应用在航天器上的某SGCMG系统的仿真结果表明,上述操纵律是可行的.

Observer-based steering law design for control moment gyroscopes

Usually,the pseudo inverse of the Jacobian matrix needs to be calculated in the conventional steering laws for single gimbal control moment gyroscopes(SGCMG).However,the steering law does not work when the Jacobian matrix is singular and its pseudo inverse is indefinite.Therefore,the problem of the steering law design for SGCMG is transformed into the state observation of a certain nonlinear system and a new steering law is derived.This algorithm can deal with the singular conditions because it uses the transpose instead of the pseudo inverse of the Jacobian matrix.Theoretical analysis indicates that this algorithm can make the steering error converge to zero asymptotically through the proper choice of the parameters.Compared with the other steering laws,this algorithm has advantages on simple form,little calculation burden,and easy implementation. Finally,the simulation analysis is conducted for a certain SGCMG system mounted on a rigid spacecraft.Simulation results demonstrate that the steering law presented above is feasible.