Global estimation in constrained environments

  • Authors:
  • Marin Kobilarov;Jerrold E Marsden;Gaurav S Sukhatme

  • Affiliations:
  • California Institute of Technology, Pasadena, CA, USA;California Institute of Technology, Pasadena, CA, USA;University of Southern California, Los Angeles, CA, USA

  • Venue:
  • International Journal of Robotics Research
  • Year:
  • 2012

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Abstract

This article considers the optimal estimation of the state of a dynamic observable using a mobile sensor. The main goal is to compute a sensor trajectory that minimizes the estimation error over a given time horizon taking into account uncertainties in the observable dynamics and sensing, and respecting the constraints of the workspace. The main contribution is a methodology for handling arbitrary dynamics, noise models, and environment constraints in a global optimization framework. It is based on sequential Monte Carlo methods and sampling-based motion planning. Three variance reduction techniques-utility sampling, shuffling, and pruning-based on importance sampling, are proposed to speed up convergence. The developed framework is applied to two typical scenarios: a simple vehicle operating in a planar polygonal obstacle environment and a simulated helicopter searching for a moving target in a 3-D terrain.