中文摘要：

基于周期系统Lyapunov稳定性理论,给出控制器的存在条件.利用广义Sylvester矩阵方程的参数化解,提出模型参考跟踪控制器的参数化设计算法.该控制器包括具有一定收敛速率的反馈镇定控制器和完全参数化的前馈跟踪补偿器两部分.以基于T-H方程描述的两航天器绕飞任务下的控制系统进行仿真,仿真结果验证了所提出控制方法的有效性.

英文摘要：

The existence condition of the controller is deduced based on the Lyapunov stability theory. The parametric design algorithm is proposed by utilizing the parametric solution of the generalized Sylvester matrix equation. The controller consists of two parts, a certain convergence rate feedback stabilization controller and a fully parameterized feedforward compensator. The controller is simulated under the flying around task which is about the two spacecrafes based on the T-H equation description. The simulation results show the effectiveness of the proposed control method.