挠性空间结构的H_∞辨识

H_∞ IDENTIFICATION OF FLEXIBLE SPACE STRUCTURES

重点研究挠性空间结构的Ｈ∞辨识。研究表明：依据系统的输入输出空间，对系统的未知动力学参数估计和对高维数截断的适当操作，将导致适合于控制的低维数学模型。模型维数确定时，系统模型与实际系统的距离在Ｈ∞范数的意义下几乎为最小；模型维数足够大时，系统模型与实际系统的距离可任意小。这是文章提出的挠性空间结构Ｈ∞辨识的基本思想。为此，以带有挠性梁的卫星系统为背景，首先分析了系统的动力学特性，引入了挠性系统Ｈ∞辨识的概念，进而构造了系统的Ｈ∞辨识算法，证明了辨识算法的收敛性。

his paper mainly studies the H∞ identification of Flexible Space Structures(FSS).The results denote that the low dimensional model oriented to control can be obtained by combining the estimation of the unknown parameters and truncation of the infinite dimension of the FSS based on input output data.As the dimension of the model is determined,the error between the model and the system may be minimum.As the dimension of the model increases, the error may be arbitrarily sm 11.This is the basic idea of H∞ identification of FSS. To do so, with the satellite having flexible arm as background this paper firstly analyses the dynamics properties,then introduces the concept of Had identification of FSS, thus constructs the H∞ identification algorithm of FSS, and proves the convergence of the algorithm.