Analysis and synthesis of strictly positive real transfer functions

被引：6

作者：

Marquez, HJ

Damaren, CJ

机构：

[1] Department of Electrical Engineering, University of Victoria, Victoria

[2] Department of Mechanical Engineering, University of Canterbury, Christchurch

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 1996年 / 333B卷 / 02期

关键词：

D O I：

10.1016/0016-0032(96)00008-7

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The concept of strictly positive real (SPR) transfer functions is examined It is shown that commonly used frequency domain conditions for SPR do not satisfy some of the most basic elements of the definition and properties of this class of functions. For a given Hurwitz polynomial a, a degree n, we find the set of all possible polynomials b that make the ratio b/a SPR, and (i) propel, and (ii) improper. Further, we show that the set of all possible bs can be parametrized in terms of, respectively, n + 1 and n + 2 numbers that satisfy a simple constraint. (C) 1996 Published by Elsevier Science Ltd

引用

页码：245 / 256

页数：12

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