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Mathematical Modeling and Optimal Inference of Guided Markov-Like Trajectory

  • University of New Orleans

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

6 Scopus citations

Abstract

A trajectory of a destination-directed moving object (e.g. an aircraft from an origin airport to a destination airport) has three main components: an origin, a destination, and motion in between. We call such a trajectory that end up at the destination destination-directed trajectory (DDT). A class of conditionally Markov (CM) sequences (called CML) has the following main components: a joint density of two endpoints and a Markov-like evolution law. A CML dynamic model can describe the evolution of a DDT but not of a guided object chasing a moving guide. The trajectory of a guided object is called a guided trajectory (GT). Inspired by a CML model, this paper proposes a model for a GT with a moving guide. The proposed model reduces to a CML model if the guide is not moving. We also study filtering and trajectory prediction based on the proposed model. Simulation results are presented.

Original languageEnglish
Title of host publication2020 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems, MFI 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages26-31
Number of pages6
ISBN (Electronic)9781728164229
DOIs
StatePublished - 14 Sep 2020
Externally publishedYes
Event2020 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems, MFI 2020 - Karlsruhe, Germany
Duration: 14 Sep 202016 Sep 2020

Publication series

NameIEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems
Volume2020-September

Conference

Conference2020 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems, MFI 2020
Country/TerritoryGermany
CityKarlsruhe
Period14/09/2016/09/20

Keywords

  • Conditionally Markov sequence
  • destination-directed trajectory
  • dynamic model
  • filtering
  • guided trajectory
  • moving guide
  • prediction

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