Simultaneous observation of linear systems: a state-space interpretation

Author

Moreno, Jaime A.

Author_Institution

Inst. de Ingenieria, Univ. Nacional Autonoma de Mexico, Mexico City, Mexico

Volume

50

Issue

7

fYear

2005

fDate

7/1/2005 12:00:00 AM

Firstpage

1021

Lastpage

1025

Abstract

Necessary and sufficient conditions for the existence of a simultaneous functional observer for several linear time-invariant (LTI) systems are derived using distinguishability concepts, that generalize the detectability concept for a single system. They generalize also the known results. A structure for common functional observers is proposed, and for two systems, or for several systems without inputs, the problem can be constructively solved. A relationship between the simultaneous observation problem and the existence of unknown input observers is established.

Keywords

linear systems; observers; state-space methods; detectability concept; distinguishability concept; linear system observation; linear time-invariant systems; simultaneous functional observer; single system; state-space interpretation; unknown input observers; Cities and towns; Eigenvalues and eigenfunctions; Linear systems; Nonlinear systems; Observability; Observers; Robustness; State estimation; Sufficient conditions; Functional observers; indistinguishability; input decoupled observers; linear observers; robust observation; simultaneous observation; unknown input observers;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.851447

Filename

1463309