Time-weighted MR for switched LPV systems via balanced realisation

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dc.contributor.authorZhang, H.
dc.contributor.authorLim, C.
dc.contributor.authorWu, L.
dc.contributor.authorShi, P.
dc.date.issued2017
dc.description.abstractA new model reduction (MR) method is developed for continuous-time switched linear parameter-varying (LPV) systems based on time-weighted gramians. Using time-weighted energy functionals and parameter-independent multiple Lyapunov functions, the time-weighted controllability and observability gramians are obtained. With a balanced transformation matrix optimally derived, the authors show that a balanced realisation can be achieved for the original switched LPV systems. A series of low-order models for different weighting factors are yielded by state truncation or singular perturbation techniques. The reduced-order models can preserve the stability. The feasibility and effectiveness of the proposed MR method are illustrated by two examples including a three spring-mass system.
dc.description.statementofresponsibilityHuiyan Zhang, Cheng-Chew Lim, Ligang Wu, Peng Shi
dc.identifier.citationIET Control Theory and Applications, 2017; 11(17):3069-3078
dc.identifier.doi10.1049/iet-cta.2017.0481
dc.identifier.issn1751-8644
dc.identifier.issn1751-8652
dc.identifier.orcidLim, C. [0000-0002-2463-9760]
dc.identifier.orcidShi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]
dc.identifier.urihttp://hdl.handle.net/2440/110911
dc.language.isoen
dc.publisherThe Institution of Engineering and Technology
dc.relation.granthttp://purl.org/au-research/grants/arc/DP170102644
dc.rights© The Institution of Engineering and Technology 2017
dc.source.urihttps://doi.org/10.1049/iet-cta.2017.0481
dc.titleTime-weighted MR for switched LPV systems via balanced realisation
dc.typeJournal article
pubs.publication-statusPublished

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