Stable denominators for the simplification of z-Transfer Functions

Therapos, CP

dc.contributor.author	Therapos, CP	en
dc.date.accessioned	2014-03-01T01:06:29Z
dc.date.available	2014-03-01T01:06:29Z
dc.date.issued	1985	en
dc.identifier.issn	0016-0032	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9413
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0022061059&partnerID=40&md5=8b80b2ac314f45596efd0f735ed81a3d	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	ELECTRIC NETWORKS - Analysis	en
dc.subject.other	DENOMINATOR	en
dc.subject.other	DISCRETE STABILITY	en
dc.subject.other	STABLE DENOMINATOR	en
dc.subject.other	TRANSFER FUNCTIONS	en
dc.subject.other	MATHEMATICAL TRANSFORMATIONS	en
dc.title	Stable denominators for the simplification of z-Transfer Functions	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1985	en
heal.abstract	A well-known discrete stability test is used to derive from the denominator D(z) of a given stable high-order transfer function G(z), the denominator of a low-order approximant of G(z). The proposed method, based on the truncation and inversion of a continued fraction formed with the coefficients of D(z), yields a reduced denominator d(z) of degree, say m, which is always stable. Furthermore, depending on the neglected parts of the continued fraction, d(z) approximates m1 and m2 = m-m1 zeros of D(z), located very near the points z=1 and z=-1, respectively. In the special case m1=m, d(z) is identical to the polynomial obtained by applying to D(z) the indirect technique, which combines the bilinear transformation with the Routh or the Schwarz approximation method. © 1985.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Journal of the Franklin Institute	en
dc.identifier.isi	ISI:A1985AMY7400003	en
dc.identifier.volume	319	en
dc.identifier.issue	5	en
dc.identifier.spage	499	en
dc.identifier.epage	506	en