Preserving stability properties in reduced models of time-periodic systems using proper orthogonal decomposition

Thomas Pumhössel, Peter Hehenberger, Klaus Zeman

Research output: Chapter in Book/Report/Conference proceedingsConference contributionpeer-review

1 Citation (Scopus)

Abstract

The necessity of providing reduced models of dynamical systems is growing continuously. Model-based control and model-based design are exemplary fields of applications. In this contribution, the reduction of a controlled drivetrain of a rolling mill using the method of Proper Orthogonal Decomposition is investigated, where the specific choice of the control law leads to equations of motion with time-periodic coefficients. Depending on amplitudes and frequency parameters of the time-periodic coefficients, artificial damping is introduced, referred to as parametric control. The maximum damping effect depends on these parameters in a nonlinear manner, as it is shown by means of a stability-parameter from Floquet theory. The reduced model set-up approximates the stability-parameter of the full model in an appropriate way within a wide range of the parameters. A measure based on the linear time-invariant system is developed that gives insight into the effect of the simulated timeseries on the properties of the reduced model.

Original languageEnglish
Title of host publicationDynamic Systems and Control; Mechatronics and Intelligent Machines
PublisherThe American Society of Mechanical Engineers(ASME)
Pages897-906
Number of pages10
EditionPARTS A AND B
ISBN (Print)9780791854938
DOIs
Publication statusPublished - 2011
EventASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 - Denver, CO, United States
Duration: 11 Nov 201117 Nov 2011

Publication series

NameASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011
NumberPARTS A AND B
Volume7

Conference

ConferenceASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011
CountryUnited States
CityDenver, CO
Period11.11.201117.11.2011

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