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现代大型航天器柔性越来越大,为了获得更好的姿态控制性能,需要主动振动抑制.鲁棒Η∞是一种正在走向工程应用的控制器设计方法,DGKF解析法,线形矩阵不等式LMI数值法,定阶Η∞范数优化法是3种重要的算法.本文对国际空间站俄罗斯舱的有限元模型提出了振动抑制的Η∞综合问题,分别用3种算法求解鲁棒Η∞控制器.基于DGKF法的全阶次优控制器,存在零极点对消,而基于LMI法的51控制器光滑,能有效抑制零极点对消,但LMI法不是一种优化算法,两种控制器降阶为2阶时,Η∞性能衰退大于80%.基于定阶法的2阶控制器和PI控制器具有与DGKF全阶控制器相近的Η∞性能,鲁棒性分析和扰动抑制的时域仿真验证了上述结论.
The modern large spacecraft is more and more flexible, in order to obtain better attitude control performance, active vibration suppression is required.Harmonic Η∞ is a controller design approach to engineering applications, DGKF analytic method, linear matrix inequality LMI Law and order Η∞ norm optimization are three kinds of important algorithms.In this paper, the Η∞ synthesis problem of vibration suppression is proposed for the Russian space capsule of ISS, and three kinds of algorithms are respectively used to solve the robust Η∞ controller. The total order suboptimal controller based on the DGKF method has the zero-pole cancellation, while the 51 controller based on the LMI method is smooth and can effectively suppress the pole-zero cancellation. However, the LMI method is not an optimization algorithm and the two controllers are reduced in order For the second order, the H∞ performance degradation is more than 80%. The second order controller and PI controller based on the order method have the similar H ∞ performance, the robustness analysis and the time-domain simulation of the disturbance rejection as the DGKF full-order controller Verify the above conclusion.