ROUTH-APPROXIMANT TIME-DOMAIN REDUCED-ORDER MODELS FOR SINGLE-INPUT SINGLE-OUTPUT SYSTEMS.

A. S. Rao, S. S. Lamba, S. Vittal Rao

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

The problem of deriving reduced-order models of a higher-dimensional system from its state-space description is considered under the constraint that the model-reduction procedure should not involve the evaluation of system eigenvalues, should not involve any optimization algorthm and should yield a stable lower-order model for a stable system. The Routh-approximant modelling procedure in the frequency domain has the above characteristics. A time-domain adaptation of the Routh-approximant frequency-domain modelling procedure is presented to achieve the above objectives for s. i. s. o. systems. The lower-order time-domain model matrices are derived by a suitable truncation of the original system matrices in their gamma - delta canonic structure. The aggregation matrix relating the system and model state vectors is also derived. A numerical example is included.

Original languageEnglish
Pages (from-to)1059-1063
Number of pages5
JournalProc Inst Electr Eng (London)
Volume125
Issue number10
DOIs
StatePublished - 1978

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