Model reduction for linear parameter-varying systems through parameter projection

S. Schouten, Daming Lou, Siep Weiland

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

For affine linear parameter-varying (LPV) systems, this paper develops two parameter reduction methods for reducing the dimension of the parameter space. The first method achieves the complexity reduction by transforming the affine LPV system into a parameter-ordered form and establishing an affine upper bound of the system Gramians, which is extended to time-varying rate-bounded parameters. The second method is based on considering the sensitivity function of the transfer function and time evolution equations. Both methods are applied to an academic example and a thermal model. Simulation results together with some analysis are given.
Original languageEnglish
Title of host publication58th IEEE Conference on Decision and Control, (CDC2019)
PublisherInstitute of Electrical and Electronics Engineers
Pages7800-7805
Number of pages6
ISBN (Electronic)9781728113982
ISBN (Print)978-1-7281-1398-2
DOIs
Publication statusPublished - 15 Dec 2019
Event58th IEEE Conference on Decision and Control (CDC 2019) - Nice, France
Duration: 11 Dec 201913 Dec 2019
https://cdc2019.ieeecss.org/

Conference

Conference58th IEEE Conference on Decision and Control (CDC 2019)
Abbreviated titleCDC 2019
CountryFrance
CityNice
Period11/12/1913/12/19
Internet address

Keywords

  • Parameter reduction
  • Hankel norm model reduction

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