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Existence conditions for unknown input functional observers

journal contribution
posted on 2012-01-01, 00:00 authored by T Fernando, S MacDougall, V Sreeram, Hieu TrinhHieu Trinh
This article presents necessary and sufficient conditions for the existence and design of an unknown input Functional observer. The existence of the observer can be verified by computing a nullspace of a known matrix and testing some matrix rank conditions. The existence of the observer does not require the satisfaction of the observer matching condition (i.e. Equation (16) in Hou and Muller 1992, ‘Design of Observers for Linear Systems with Unknown Inputs’, IEEE Transactions on Automatic Control, 37, 871–875), is not limited to estimating scalar functionals and allows for arbitrary pole placement. The proposed observer always exists when a state observer exists for the unknown input system, and furthermore, the proposed observer can exist even in some instances when an unknown input state observer does not exist.

History

Journal

International journal of control

Volume

86

Pagination

22-28

Location

Essex, England

ISSN

0020-7179

eISSN

1366-5820

Language

eng

Publication classification

C1 Refereed article in a scholarly journal

Copyright notice

2012, Taylor & Francis

Issue

1

Publisher

Taylor & Francis