The bilinear method: a new stability-preserving order reduction approach

T. Nigel Lucas

doi:10.1177/095965180221600505

The bilinear method: a new stability-preserving order reduction approach

T. Nigel Lucas

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

505 Downloads (Pure)

Abstract

A new way of reducing the order of linear system transfer functions is presented. It guarantees stability in the approximation of stable systems and differs from existing stability-preserving methods by taking into account whole system parameter information when obtaining the approximate poles, not just that of the system poles. It uses a bilinear transformation in the process, which renders the method more flexible than traditional techniques. Examples are given to highlight the advantages of the new approach.

Original language	English
Pages (from-to)	429-436
Number of pages	8
Journal	Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
Volume	216
Issue number	5
DOIs	https://doi.org/10.1177/095965180221600505
Publication status	Published - 2002

Keywords

System order reduction
Stability preservation
Bilinear mapping
Markov parameters

Access to Document

10.1177/095965180221600505

Lucas_TheBilinearMethod_Author_2002Accepted author manuscript, 88.4 KB

Cite this

@article{b7a38cf8b31245d69b891973314a3769,

title = "The bilinear method: a new stability-preserving order reduction approach",

abstract = "A new way of reducing the order of linear system transfer functions is presented. It guarantees stability in the approximation of stable systems and differs from existing stability-preserving methods by taking into account whole system parameter information when obtaining the approximate poles, not just that of the system poles. It uses a bilinear transformation in the process, which renders the method more flexible than traditional techniques. Examples are given to highlight the advantages of the new approach.",

author = "Lucas, \{T. Nigel\}",

year = "2002",

doi = "10.1177/095965180221600505",

language = "English",

volume = "216",

pages = "429--436",

journal = "Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering",

issn = "0959-6518",

publisher = "SAGE Publications Ltd",

number = "5",

}

TY - JOUR

T1 - The bilinear method

T2 - a new stability-preserving order reduction approach

AU - Lucas, T. Nigel

PY - 2002

Y1 - 2002

N2 - A new way of reducing the order of linear system transfer functions is presented. It guarantees stability in the approximation of stable systems and differs from existing stability-preserving methods by taking into account whole system parameter information when obtaining the approximate poles, not just that of the system poles. It uses a bilinear transformation in the process, which renders the method more flexible than traditional techniques. Examples are given to highlight the advantages of the new approach.

AB - A new way of reducing the order of linear system transfer functions is presented. It guarantees stability in the approximation of stable systems and differs from existing stability-preserving methods by taking into account whole system parameter information when obtaining the approximate poles, not just that of the system poles. It uses a bilinear transformation in the process, which renders the method more flexible than traditional techniques. Examples are given to highlight the advantages of the new approach.

U2 - 10.1177/095965180221600505

DO - 10.1177/095965180221600505

M3 - Article

SN - 0959-6518

VL - 216

SP - 429

EP - 436

JO - Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering

JF - Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering

IS - 5

ER -

The bilinear method: a new stability-preserving order reduction approach

Abstract

Keywords

Access to Document

Fingerprint

Cite this