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Autonomous Underwater Vehicles: Singular Extremals and Chattering

  • M. Chyba
  • T. Haberkorn
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 202)

Abstract

In this paper, we consider the time minimal problem for an Autonomous Underwater Vehicle. We investigate, on a simplified model, the existence of singular extremals and discuss their optimality status. Moreover, we prove that singular extremals corresponding to the angular acceleration are of order 2. We produce in this case a semi-canonical form of our Hamiltonian system and we can conclude the existence of chattering extremals..

keywords

Underwater Vehicles Time optimal Singular Extremals Chattering 

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Copyright information

© International Federation for Information Processing 2006

Authors and Affiliations

  • M. Chyba
    • 1
  • T. Haberkorn
    • 1
  1. 1.Department of MathematicsUniversity of HawaiiHonoluluHawaii

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