Journal article
Conditions for designing strictly positive real transfer functions for adaptive output error identification
IEEE transactions on circuits and systems, Vol.34(7), pp.731-736
1987
DOI: 10.1109/TCS.1987.1086198
Abstract
Strictly positive real (SPR) transfer functions are of importance in Adaptive systems theory. This paper addresses two issues related to finding a polynomial b(s) such that b(s)/a(s) is SPR for all a(s) belonging to a set of n th-degree Hurwitz polynomials {\P}^n defined by the magnitude bounds on the coefficients of a(s) . It is shown that irrespective of n there exist four polynomials in {\P}^n such that if the ratios of b(s) with each of these is SPR then b(s)/a(s) is SPR for all members of {\P}^n . A sufficient condition for the existence of this b(s) along with a method for its construction is outlined. The condition resembles the Routh array test for determining system stability.
Details
- Title: Subtitle
- Conditions for designing strictly positive real transfer functions for adaptive output error identification
- Creators
- SOURA DASGUPTA - Univ. Iowa, dep. electrical computer eng., Iowa City IA 52242, United StatesA. S BHAGWAT - Univ. Iowa, dep. electrical computer eng., Iowa City IA 52242, United States
- Resource Type
- Journal article
- Publication Details
- IEEE transactions on circuits and systems, Vol.34(7), pp.731-736
- Publisher
- Institute of Electrical and Electronics Engineers
- DOI
- 10.1109/TCS.1987.1086198
- ISSN
- 0098-4094
- eISSN
- 1558-1276
- Language
- English
- Date published
- 1987
- Academic Unit
- Electrical and Computer Engineering
- Record Identifier
- 9984083848702771
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