Small-time local controllability of a differential drive robot with a limited sensor for landmark-based navigation

  • Authors:
  • Rafael Murrieta-Cid;Jean-Bernard Hayet

  • Affiliations:
  • Centro de Investigación en Matemáticas, Guanajuato, México;Centro de Investigación en Matemáticas, Guanajuato, México

  • Venue:
  • MICAI'07 Proceedings of the artificial intelligence 6th Mexican international conference on Advances in artificial intelligence
  • Year:
  • 2007

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Abstract

This work studies the interaction of the nonholonomic and visibility constraints of a robot to maintain visibility of a landmark. The robot is a differential drive system (nonholonomic robot) and has a sensor with limited capabilities (limited field of view). In this research, we want to determine whether or not a robot can always maintain visibility of a landmark during the execution of a path between any two locations. We present two kinematic models. First, a robot with 3 controls, where the controls correspond to the two wheels velocities plus one independent controlled sensor. Second, a model with only 2 controls, which controls both the wheels and the sensor rotation. We show that our system (with 3 or 2 controls) is small-time local controllable.