-

 

 

 




Optimization Online





 

Optimal synthesis in the Reeds and Shepp problem with a onesided variation of velocity

Andrey Dmitruk (avdmi***at***cemi.rssi.ru)
Ivan Samylovskiy (barbudo.sam***at***cs.msu.su)

Abstract: We consider a time-optimal problem for the Reeds and Shepp model describing a moving point on a plane, with a onesided variation of the speed and a free final direction of velocity. Using Pontryagin Maximum Principle, we obtain all possible types of extremals and, analyzing them and discarding nonoptimal ones, construct the optimal synthesis.

Keywords: Time-optimal problem, Pontryagin Maximum Principle, extremals, reachability sets, optimal synthesis.

Category 1: Applications -- Science and Engineering (Control Applications )

Category 2: Applications -- Science and Engineering (Mechanical Engineering )

Citation: http://link.springer.com/article/10.1007/s10957-013-0286-8

Download:

Entry Submitted: 05/23/2012
Entry Accepted: 05/23/2012
Entry Last Modified: 03/05/2013

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society