Optimal path planning for uncertain exploration

  • Authors:
  • Andrew T. Klesh;Pierre T. Kabamba;Anouck R. Girard

  • Affiliations:
  • Aerospace Engineering, University of Michigan, Ann Arbor, MI;Aerospace Engineering, University of Michigan, Ann Arbor, MI;Aerospace Engineering, University of Michigan, Ann Arbor, MI

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

Exploration always occurs in the presence of uncertainty. In this paper, we consider path planning for autonomous vehicles equipped with range-based sensors and traveling in an uncertain area. The mission of the vehicles is to explore a set of objects of interest while reducing uncertainty in object position, visibility and state. A connection is shown between the Kalman filter (used to reduce uncertainty) and the so-called Shannon model for exploration through the use of a range-based covariance. This connection is exploited to estimate states and to travel between objects of interest. A bound on the covariance error and several illustrative examples are provided.