• DocumentCode
    3295022
  • Title

    Time-optimal synthesis for the Zermelo-Markov-Dubins problem: The constant wind case

  • Author

    Bakolas, E. ; Tsiotras, P.

  • Author_Institution
    Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
  • fYear
    2010
  • fDate
    June 30 2010-July 2 2010
  • Firstpage
    6163
  • Lastpage
    6168
  • Abstract
    We consider a combination of the classical Markov-Dubins problem and Zermelo´s navigation problem. In particular, we consider the problem of characterizing minimum-time paths with prescribed positions and tangents for a vehicle with Dubins-type kinematics in the presence of uniform winds/currents. By utilizing optimal control theory, we characterize the structure of the optimal paths, and subsequently solve the time-optimal synthesis problem.
  • Keywords
    Markov processes; control system synthesis; kinematics; navigation; time optimal control; vehicle dynamics; Dubins-type kinematics; Markov-Dubins problem; Zermelo navigation problem; minimum-time path; optimal control; time-optimal synthesis; Aerospace engineering; Controllability; Kinematics; Level set; Marine vehicles; Motion planning; Optimal control; Rivers; Upper bound; Wind speed;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2010
  • Conference_Location
    Baltimore, MD
  • ISSN
    0743-1619
  • Print_ISBN
    978-1-4244-7426-4
  • Type

    conf

  • DOI
    10.1109/ACC.2010.5531602
  • Filename
    5531602