挠性航天器LMI抗饱和控制及模态振动抑制

Anti-windup control based on LMI and vibration suppression for the flexible spacecraft

针对挠性航天器中输入受限和模态振动问题,分别设计了抗饱和补偿器以及输入成型器。设计基于线性矩阵不等式(line matrix inequality,LMI)抗饱和补偿器,保证了挠性航天器受限控制系统的稳定。同时,为了降低挠性结构和受限问题带来的模态振动,设计了输入成型器,并将成型器改进优化增强模态抑制效果。与传统的抗饱和控制相比,补偿器不增加系统状态阶数,控制器不需要模型的状态信息。并且通过增加输入成型器,增强模态振动抑制效果,优化了系统输出曲线。理论分析和仿真结果验证了所提方法的正确性和有效性。

The flexible spacecraft which contains the flexible attachment and low power motors tends to result in the input saturation and the modes vibrations. To solve these problems, anti-windup compensators were designed based on the line matrix inequality （LMI） method for the saturation, which guarantees the saturation control system stability; meanwhile, the input shapers were redesigned to suppress the modes vibration and optimize the system output. Compared with the traditional saturation control method, the order of the saturation control system keeps same, without any state variables of the model. Moreover, the input shapers redesigned enhances the effects of the vibration suppression which helps smooth the system output. At last the theoretical and simulation results show the effectiveness of proposed methods.