Observability of Switched Linear Systems

Author

Gómez-Gutiérrez, David ; Ramírez-Prado, Guillermo ; Ramírez-Treviño, Antonio ; Ruiz-León, Javier

Author_Institution

Unidad Guadalajara, Centro de Investig. y de Estudios Av. del I.P.N. (CINVESTAV), Zapopan, Mexico

Volume

6

Issue

2

fYear

2010

fDate

5/1/2010 12:00:00 AM

Firstpage

127

Lastpage

135

Abstract

This work deals with finite time observability of switched linear systems (SLS) when they are represented by a family of nonautonomous linear systems (LS) and an interpreted Petri net (IPN). Based on this SLS representation, new detection of the commutation time and LS distinguishability characterizations in SLS extended to the non autonomous case are presented. Using these results, the novel concept of distinguishability between LS sequences is presented and characterized. This concept together with the IPN input-output information is used to determine the IPN marking sequence. From the knowledge of this sequence, the conditions for the computation of the continuous state are presented. Also necessary and sufficient conditions for the observability in infinitesimal time are provided.

Keywords

Petri nets; linear systems; observability; time-varying systems; finite time observability; infinitesimal time; interpreted Petri net input-output information; interpreted Petri net marking sequence; nonautonomous linear systems; switched linear systems; Observability; Petri nets; switched systems;

fLanguage

English

Journal_Title

Industrial Informatics, IEEE Transactions on

Publisher

ieee

ISSN

1551-3203

Type

jour

DOI

10.1109/TII.2009.2034737

Filename

5338013