Title:
| A continuation method for minimum time problems
| Authors:
|
Harri Ehtamo | Systems Analysis Laboratory Helsinki University of Technology P.O. Box 1100, 02015 HUT, FINLAND harri.ehtamo@hut.fi www.sal.hut.fi/Personnel/Homepages/HarriE.html
Tuomas Raivio
Raimo P. Hämäläinen
Date:
| March 2000
| Status:
| Systems Analysis Laboratory Research Report E3 March 2000
| Abstract:
| We present a continuation method for minimum time optimal control problems. The problem is turned into a sequence of terminal cost minimization problems with fixed final time that is used as the continuation parameter. The final time is corrected by a one-dimensional search procedure until the terminal condition becomes satisfied. The method is illustrated by two minimum time aircraft trajectory optimization problems.
| Keywords:
| optimal control, multipoint boundary value problem, homotopy, minimum time control, aerospace applications.
| |