Sufficient condition for estimation in designing H ∞ filter-based slam

Nur Aqilah Othman, Hamzah Ahmad, Toru Namerikawa

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Extended Kalman filter (EKF) is often employed in determining the position of mobile robot and landmarks in simultaneous localization and mapping (SLAM). Nonetheless, there are some disadvantages of using EKF, namely, the requirement of Gaussian distribution for the state and noises, as well as the fact that it requires the smallest possible initial state covariance. This has led researchers to find alternative ways to mitigate the aforementioned shortcomings. Therefore, this study is conducted to propose an alternative technique by implementing H ∞ filter in SLAM instead of EKF. In implementing H ∞ filter in SLAM, the parameters of the filter especially γ need to be properly defined to prevent finite escape time problem. Hence, this study proposes a sufficient condition for the estimation purposes. Two distinct cases of initial state covariance are analysed considering an indoor environment to ensure the best solution for SLAM problem exists along with considerations of process and measurement noises statistical behaviour. If the prescribed conditions are not satisfied, then the estimation would exhibit unbounded uncertainties and consequently results in erroneous inference about the robot and landmarks estimation. The simulation results have shown the reliability and consistency as suggested by the theoretical analysis and our previous findings.

Original languageEnglish
Article number238131
JournalMathematical Problems in Engineering
Volume2015
DOIs
Publication statusPublished - 2015 Feb 23

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Simultaneous Localization and Mapping
Extended Kalman filters
Kalman Filter
Filter
Sufficient Conditions
Landmarks
Alternatives
Gaussian distribution
Mobile Robot
Mobile robots
Theoretical Analysis
Robot
Robots
Distinct
Uncertainty
Requirements
Simulation

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

Sufficient condition for estimation in designing H ∞ filter-based slam. / Othman, Nur Aqilah; Ahmad, Hamzah; Namerikawa, Toru.

In: Mathematical Problems in Engineering, Vol. 2015, 238131, 23.02.2015.

Research output: Contribution to journalArticle

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