||A continuation method for minimum time problems
Systems Analysis Laboratory
Helsinki University of Technology
P.O. Box 1100, 02015 HUT, FINLAND
Raimo P. Hämäläinen
||Systems Analysis Laboratory Research Report E3 March 2000
||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.
||optimal control, multipoint boundary value problem, homotopy, minimum time control, aerospace applications.