3D navigation and collision avoidance for nonholonomic aircraft-like vehicles

Giannis Roussos, Dimos V. Dimarogonas, Kostas J. Kyriakopoulos

Research output: Contribution to journalArticlepeer-review


This paper extends the Navigation Function methodology to the case of 3D nonholonomic vehicles, both in single agent and multi-agent problems. The kinematic, nonholonomic, three-dimensional model considered is chosen to resemble the motion of an aircraft by preventing any movement along the lateral or perpendicular axis, as well as preventing high yaw rotation rates. The discontinuous feedback control law used is based on the artificial potential field generated by Dipolar Navigation Functions and steers the agents away from obstacles or each other and towards their destinations, while respecting the nonholonomic constraints present. The convergence properties of the proposed control strategies are formally guaranteed and verified by non-trivial simulation results.

Original languageEnglish (US)
Pages (from-to)900-920
Number of pages21
JournalInternational Journal of Adaptive Control and Signal Processing
Issue number10
StatePublished - Oct 2010


  • Air traffic control
  • Collision avoidance
  • Multi-agent systems
  • Nonholonomic control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Electrical and Electronic Engineering


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