Simultaneous localization and mapping problem via the H filter with a known landmark

Yoshihiro Okawa, Toru Namerikawa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper deals with the simultaneous localization and mapping (SLAM) problem via the H filter with a known landmark. By adding the observation of a known landmark to those of unknown landmarks, the linearized SLAM model satisfies its observability, and its estimation accuracy is improved. To prove the improvement theoretically, this paper shows that the determinant of the estimated error covariance matrix with the observation of a known landmark becomes small compared with that of the conventional H filter. The convergence of the error covariance matrix is also proven in this paper. With simulations and experimental results, we confirm that the derived theorems for the convergence are correct and that we can accurately estimate the state of the robot and the environment.

Original languageEnglish
Title of host publicationProceedings of the SICE Annual Conference
Pages1939-1944
Number of pages6
Publication statusPublished - 2013
Event2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013 - Nagoya, Japan
Duration: 2013 Sep 142013 Sep 17

Other

Other2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013
CountryJapan
CityNagoya
Period13/9/1413/9/17

Fingerprint

Covariance matrix
Observability
Robots

Keywords

  • H filter
  • Observability
  • Slam

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Science Applications

Cite this

Okawa, Y., & Namerikawa, T. (2013). Simultaneous localization and mapping problem via the H filter with a known landmark. In Proceedings of the SICE Annual Conference (pp. 1939-1944)

Simultaneous localization and mapping problem via the H filter with a known landmark. / Okawa, Yoshihiro; Namerikawa, Toru.

Proceedings of the SICE Annual Conference. 2013. p. 1939-1944.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Okawa, Y & Namerikawa, T 2013, Simultaneous localization and mapping problem via the H filter with a known landmark. in Proceedings of the SICE Annual Conference. pp. 1939-1944, 2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013, Nagoya, Japan, 13/9/14.
Okawa Y, Namerikawa T. Simultaneous localization and mapping problem via the H filter with a known landmark. In Proceedings of the SICE Annual Conference. 2013. p. 1939-1944
Okawa, Yoshihiro ; Namerikawa, Toru. / Simultaneous localization and mapping problem via the H filter with a known landmark. Proceedings of the SICE Annual Conference. 2013. pp. 1939-1944
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