针对惯性系内重力梯度力矩与气动力矩的常值部分积累引起控制力矩陀螺饱和的问题,在惯性系内建立空间站的动力学模型并进行线性化,利用滤波变量将系统状态方程扩维,采用LQR方法设计系统反馈控制增益矩阵,实现空间站在惯性系内的角动量管理控制.惯性系内重力梯度力矩、气动力矩由轨道角速度整数倍的频率成份构成,可以根据实际情况增加抑制不同频率成份的滤波变量,用于抑制不同频率成份干扰力矩对空间站姿态或控制力矩陀螺角动量的干扰,从而使空间站长期在惯性系内飞行而不需要进行角动量的卸载.仿真验证了控制器的性能.
For saturation of control moment gyros because of accumulation of constant component of gravitational torque and aero torque,a dynamics model of space station is established and linearized in inertial reference,then the state space equation is augmented by the filter states,and the linear quadratic regulator(LQR) method is used to design the feedback gain matrix for the momentum management controller of space station in inertial reference.In inertial reference the gravitational torque and aero dynamical torque are composed by multiples of frequency of orbit angular velocity,so the augmented filters can be selected according to the actual disturbance frequency to reduce the influence of different disturbing torgues on attitude of space station or momentum of control moment gyros,thus the space station can maintain attitude control without disaturation for long time.Simulation validats the controller.