Journal of Optimization Theory and Applications

, Volume 138, Issue 2, pp 275–296 | Cite as

Minimum-Time Travel for a Vehicle with Acceleration Limits: Theoretical Analysis and Receding-Horizon Implementation



A methodology is proposed to generate minimum-time optimal velocity profiles for a vehicle with prescribed acceleration limits along a specified path. The necessary optimality conditions are explicitly derived, allowing the construction of the optimal solution semianalytically. A receding horizon implementation is also proposed for the on-line implementation of the velocity optimizer. Robustness of the receding horizon algorithm is guaranteed by the use of an adaptive scheme that determines the planning and execution horizons. Application to a real-life scenario with a comparison between the infinite and finite receding horizon schemes provides a validation of the proposed methodology.


Minimum time velocity profile Acceleration limits Receding horizon 


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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.School of Engineering and DesignBrunel UniversityUxbridgeUK
  2. 2.D. Guggenheim School of Aerospace EngineeringGeorgia Institute of TechnologyAtlantaUSA

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