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

共 50 条

[1] Analysis and synthesis of strictly positive real transfer functions
Univ of Victoria, Victoria, Canada
J Franklin Inst, 2 (245-256):
[2] ON THE DESIGN OF STRICTLY POSITIVE REAL TRANSFER-FUNCTIONS
MARQUEZ, HJ
DAMAREN, CJ
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (04): : 214 - 218
[3] STRICTLY POSITIVE REAL TRANSFER-FUNCTIONS REVISITED
LOZANOLEAL, R
JOSHI, SM
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (11) : 1243 - 1245
[4] STRICTLY POSITIVE REAL TRANSFER-FUNCTIONS REVISITED - COMMENT
MARQUEZ, HJ
DAMAREN, CJ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (03) : 478 - 479
[5] STRICTLY POSITIVE REAL TRANSFER-FUNCTIONS REVISITED - REPLY
LOZANO, R
JOSHI, SM
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (10) : 1799 - 1800
[6] DESIGN OF ROBUST STRICTLY POSITIVE REAL TRANSFER-FUNCTIONS
BETSER, A
ZEHEB, E
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (09): : 573 - 580
[7] On Hurwitz stable polynomials and strictly positive real transfer functions
Wang, L
Yu, WS
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2001, 48 (01) : 127 - 128
[8] Optimal strictly positive real approximations for stable transfer functions
Damaren, CJ
Marquez, HJ
Buckley, AG
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1996, 143 (06): : 537 - 542
[9] New Results on the Characterization of Strictly Positive Real Matrix Transfer Functions
Hakimi-Moghaddam, Mojtaba
Ferrante, Augusto
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (01) : 335 - 339
[10] Comments on "On Hurwitz stable polynomials and strictly positive real transfer functions"
Marquez, HJ
Agathoklis, P
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (01): : 129 - 129

← 1 2 3 4 5 →