柔性航天器饱和鲁棒正位置反馈振动控制研究

Robust PPF vibration control for flexible spacecrafts with input saturation

为了增强柔性航天器用正位置反馈(PPF)实现振动的主动控制的鲁棒性,在考虑作动器的控制输入限制的情况下,基于李亚普诺夫函数和线性矩阵不等式(LMI)方法设计了一种新型鲁棒PPF控制器。该控制器通过引入系统参数不确定项,将具有控制受限的优化问题转化为求解具有LMI约束的广义特征值问题,实现了闭环系统的稳定性。仿真结果表明了此种方法的有效性以及优点。

In order to improve the robustness of the active vibration control based on positive position feedback （PPF） for flexible spacecrafts under the condition of input constrained, a new robust PPF controller was designed based on the Lyapunov stability theory and the linear matrix inequality （LMI） method. By introducing the parameter uncertainty items, the new controller transforms the optimization with input constrained into the solution of the generalized ei- genvalue problems with LMI constraints, so the stability of the closed loop system is guaranteed. The simulation results demonstrate the validity and advantage of this method.