Skip to main content

Collaborative Interception of Moving Re-locatable Target

  • Chapter
  • First Online:
Advances in Dynamic Games

Part of the book series: Annals of the International Society of Dynamic Games ((AISDG,volume 13))

Abstract

This paper is dealing with a team of autonomous vehicles using on-board sensors for tracking and intercepting a moving target. The team of autonomous vehicles is composed of a pursuing vehicle and of several Unmanned Aircraft Vehicles (UAVs). The on-board sensors we talk about have limited capabilities in terms of range. Before acquiring the target, the pursuing vehicle relies on external discrete time information. The target is a slow moving target with respect to the pursuer velocity. The pursuer and the evader are both ground mobile vehicles. The pursuer is able to decide when receiving target re-location information coming from UAVs. UAVs are flying in a cooperative manner with the pursuing vehicle. This situation has been described in terms of a zero-sum two-player pursuit-evasion differential game with costly information. The pursuer minimizes the time to reach the target, while the target tries to evade and to maximize the capture time. After solving this pursuit-evasion game for simple kinematics, test and evaluation simulations with more realistic kinematics have been performed. We also discuss the 4D guidance law and the coordination algorithm we implemented for managing the UAVs.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Bernhard P, Pourtallier O (1994) Pursuit evasion game with costly information. Dyn Control 4:365–382

    Article  MathSciNet  MATH  Google Scholar 

  • Glizer VY (1996) Optimal planar interception with fixed end conditions: Closed-form solution. J Optimiz Theory App 88(3):503–539

    Article  MathSciNet  MATH  Google Scholar 

  • Isaacs R (1965) Differential games, a mathematical theory with applications to warfare and pursuit, control and optimization. Wiley, New York

    MATH  Google Scholar 

  • Jeon IS, Lee JI, Tahk MJ (2006) Impact-time-control guidance law for anti-ship missiles. IEEE T Contr Syst T 14(2):260–266

    Article  Google Scholar 

  • Le Ménec S, Markham K, Tsourdos A, Shin HS, Piet-Lahanier H (2011) Cooperative allocation and guidance for air defence application. In: 18th IFAC World Congress, Milano, Italy, pp 3897–3902, session dedicated to Missile Guidance, Control and Estimation

    Google Scholar 

  • Lee JI, Jeon IS, Tahk MJ (2007) Guidance law to control impact time and angle. IEEE T Aero Elec Syst 43(1):301–310

    Article  Google Scholar 

  • Neveu D, Pignon J, Raimondo A, Nicolas J, Pourtallier O (1995) Pursuit games with costly information: Application to the ASW helicopter versus submarine game. In: New trends in dynamic games and applications, Annals of the ISDG, vol 3. Birkhäuser, Boston, pp 247–257

    Google Scholar 

  • Olsder GJ, Pourtallier O (1995) Optimal selection of observation times in a costly information game. In: New trends in dynamic games and applications, Annals of the ISDG, vol 3. Birkhäuser, Boston, pp 227–246

    Google Scholar 

  • Patsko VS, Turova VL (2011) Homicidal chauffeur game: History and modern studies. In: Advances in dynamic games; theory, applications, and numerical methods for differential and stochastic games, Annals of the ISDG, vol 11. Birkhäuser, Boston, pp 227–251

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Stéphane Le Ménec .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Le Ménec, S. (2013). Collaborative Interception of Moving Re-locatable Target. In: Křivan, V., Zaccour, G. (eds) Advances in Dynamic Games. Annals of the International Society of Dynamic Games, vol 13. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-02690-9_14

Download citation

Publish with us

Policies and ethics