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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.
Based on the Lyapunov stability theory of periodic systems, the existence conditions of the controller are given. The parametric design of the model reference tracking controller is proposed by using the parameterization of the generalized Sylvester matrix equation. The controller includes a feedback stabilization controller with a certain convergence rate And fully parameterized feedforward tracking compensator.The simulation results of the two spacecraft-borne fly-by-ground control systems based on the TH equation are given. The simulation results show the effectiveness of the proposed control method.