Reduced-order models, canonical forms and observers

Ami Arbel*, Edison Tse

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This paper considers the conditions under which one can model the system's output, or any other transformation of the state, by a model of reduced-order. It is shown that a model of the same "dimension as the output vector is possible to obtain only under very restrictive conditions with strong implications. When a more general model is attempted it Leads to tho development of a new canonical form for linear dynamic systems with a scalar output. It is further shown that every such canonical form has an observer embedded in its structure whose elements can be picked out by inspection.

Original languageEnglish
Pages (from-to)513-531
Number of pages19
JournalInternational Journal of Control
Issue number3
StatePublished - Sep 1979
Externally publishedYes


FundersFunder number
Office of Naval ResearchN00014-75-C-0738


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