Generalized gramian based frequency interval model reduction for unstable systems

Ahmad Jazlan, Victor Sreeram, Roberto Togneri, Ha Binh Minh

Research output: Chapter in Book/Conference paperConference paper

4 Citations (Scopus)

Abstract

Frequency interval controllability and observability gramian matrices are important in order to understand the characteristics of systems which are inherently frequency dependent. Obtaining these frequency interval controllability and observability gramian matrices requires solving a pair of Lyapunov equations. However for certain systems these Lyapunov equations are not solvable. In addition the eigenvalues of the product of the frequency interval controllability and observability gramians may also be complex numbers and therefore these gramians are not applicable to used in the context of model reduction. To overcome these issues, generalized frequency interval controllability and observability gramians are introduced in this paper and the applicability of these generalized gramians to be used in model reduction is demonstrated.

Original languageEnglish
Title of host publication2016 Australian Control Conference, AuCC 2016
Place of PublicationAustralia
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages43-47
Number of pages5
ISBN (Electronic)9781922107909
DOIs
Publication statusPublished - 1 Mar 2017
Event2016 Australian Control Conference - Newcastle, Australia
Duration: 3 Nov 20164 Nov 2016

Conference

Conference2016 Australian Control Conference
Abbreviated titleAUCC 2016
CountryAustralia
CityNewcastle
Period3/11/164/11/16

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  • Cite this

    Jazlan, A., Sreeram, V., Togneri, R., & Minh, H. B. (2017). Generalized gramian based frequency interval model reduction for unstable systems. In 2016 Australian Control Conference, AuCC 2016 (pp. 43-47). [7868000] IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/AUCC.2016.7868000