Method for tracking of environmental level sets by a unicycle-like vehicle

  • Authors:
  • Alexey S. Matveev;Hamid Teimoori;Andrey V. Savkin

  • Affiliations:
  • Department of Mathematics and Mechanics, Saint Petersburg University, Universitetskii 28, Petrodvoretz, St.Petersburg, 198504, Russia;School of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney 2052, Australia;School of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney 2052, Australia

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2012

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Abstract

We consider a single Dubins-like vehicle traveling with a constant longitudinal speed in a planar region supporting an unknown field distribution. A sensor provides the distribution value at the vehicle location. We present a new sliding mode control method for tracking environmental level sets: the vehicle is steered to the set where the distribution assumes a pre-specified value and circulates along this set afterwards. The proposed control algorithm does not employ gradient estimation and is non-demanding with respect to both computation and motion. Its mathematically rigorous justification is provided. The effectiveness of the proposed guidance law is confirmed by computer simulations.