基于航天器复杂动力学模型的鲁棒H_∞振动抑制算法  

Robust H_∞ Control Algorithms for Vibration Suppression of Flexible Spacecrafts Based on Complex Dynamic Models

作　　者：刘磊[1] 王萍萍[1] 孔宪仁[1] 王本利[1] 

机构地区：[1]哈尔滨工业大学,哈尔滨150001

出　　处：《空间控制技术与应用》2011年第2期6-13,25,共9页Aerospace Control and Application

摘　　要：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.Modern large spacecrafts are more and more flexible,and active vibration suppression is needed to obtain better attitude control performance.Robust Η∞control is being widely used in engineering application.DGKF method,linear matrix inequality（LMI） method,and Η∞fixed-order-and-structure optimization method are three algorithms.In this paper,they are used to solve the Η∞controllers for the synthesis problem of International I Space Station described by a finite element model.Zero-pole cancellation phenomena exists in full order suboptimal controller based on DGKF method,while the corresponding 51-order controller based on LMI is smooth and eliminates the zero-pole cancellation,but the LMI isn＇t an optimization method.The Η∞performance of their reduced 2-order controllers is degraded more than 80%.The 2-order and PI controller based on fixing-order optimization has the similar Η∞performance of DGKF based full order optimal controllers.The results are proved by robustness analysis and time domain simulation of disturbance suppression.

关 键 词：Η∞控制 DGKF法 LMI法 定阶法 振动抑制 

分 类 号：V448[航空宇航科学与技术—飞行器设计]