Strong Observability for a Class of Linear Hybrid Systems

Hector Rios, Jorge Davila, Andrew R. Teel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

This paper deals with the characterization of a particular structural property: strong observability, for a class of linear hybrid systems with periodic jumps. Such a property is given in terms of geometric and algebraic conditions over the matrices of the linear hybrid system. A characterization of the weakly unobservable subspace is also given for this class of hybrid systems as well as the relation it has with strong observability. An example illustrates the proposed properties.

Original languageEnglish
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3122-3127
Number of pages6
ISBN (Electronic)9781538613955
DOIs
StatePublished - 18 Jan 2019
Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States
Duration: 17 Dec 201819 Dec 2018

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2018-December
ISSN (Print)0743-1546

Conference

Conference57th IEEE Conference on Decision and Control, CDC 2018
CountryUnited States
CityMiami
Period17/12/1819/12/18

Bibliographical note

Funding Information:
†CONACYT-Tecnológico Nacional de México/I.T. La Laguna, Di-visión de Estudios de Posgrado e Investigación, Blvd. Revolución y Cuauhtémoc S/N, C.P. 27000, Torreón, Coahuila, México. Email: hriosb@correo.itlalaguna.edu.mx ‡Instituto Politécnico Nacional, Section of Graduate Studies and Research, ESIME-UPT, C.P. 07340, CDMX, México. Email: jadavila@ipn.mx §Electrical & Computer Engineering Department, University of California, Santa Barbara, CA 93106-9560, USA. Email: teel@ece.ucsb.edu The authors gratefully acknowledge the financial support from CONA-CYT 270504 and SIP-IPN under grant 20180865. Research also supported in part by AFOSR grants FA9550-15-1-0155 and FA9550-18-1-0246, and NSF grant ECCS-1508757.

Keywords

  • Hybrid Systems
  • Strong Observability

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