H_∞辨识中的代数方法

An Algebra Approach in H_∞ System Identification

本文讨论了单输入、单输出、离散、时不变因果系统的面向控制的Ｈ_辨识问题，在该问题中，中心估计是最优的，插值估计是次优的，但一般都难以求取，本文提出了非插值类的代数算法，该算法计算量小，所得模型简单且估计出的Ｗｏｒｓｔ－Ｃａｓｅ误差较小，该算法是收敛的，因而具有较好的实用价值．

In this paper the robust control oriented H∞ system identification problem is studied. Thesystem is supposed to belong to the class causal,linear,shift-invariant systems. First, an algebraic algorithm based on algebraic approach is presented. Second,the characters of the algorithm is analysed. Finally,the worst-case identification error associated with the algorithm is evaluated and which shows thealgorithm's convergence. Since the algorithm can obtain a simple model by less computation and the worstcase error is small,it is of practical value.