A review of stable exact model matching by state feedback

V. Kučera, E. Castañeda
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引用次数: 9

Abstract

The problem of exact model matching by static state feedback is revisited. The main approaches applied to solve the problem are reviewed. The original solution based on matrix fraction descriptions is used to obtain a new parametric stable solution to the model matching problem. A constructive procedure is given that is based on column degree control and determinant control of a polynomial matrix. An interpretation of the existence conditions is provided in terms of equivalence relations over the rings of polynomials, proper rational functions, and proper and stable rational functions.
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状态反馈的稳定精确模型匹配综述
重新研究了静态反馈的精确模型匹配问题。本文综述了解决这一问题的主要方法。利用基于矩阵分数描述的原解,得到了模型匹配问题的一个新的参数稳定解。给出了基于多项式矩阵的列度控制和行列式控制的构造方法。给出了多项式环上的等价关系、固有有理函数和固有稳定有理函数的存在条件的解释。
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