Title :
Projection singularities of extremals for planar systems
Author :
Boscain, Ugo ; Piccoli, Benedetto
Author_Institution :
ISAS, Scuola Int. Superiore di Studi Avanzati, Trieste, Italy
Abstract :
For a generic single input planar control system we are concerning with the set of extremals for the minimum time problem. We study some singularities of the projection of the extremals´ locus from the cotangent bundle to R2. The structure of this locus near the origin is showed in details and sufficient conditions under which it is a piecewise C1 manifold with boundary are given. Finally we give examples of cusp singularities that happen in presence of overlap curves of the optimal synthesis
Keywords :
control system synthesis; time optimal control; cusp singularities; extremal locus; minimum time problem; optimal synthesis; overlap curves; piecewise C1 manifold; projection singularities; single input planar control system; Control system synthesis; Control systems; Optimal control; Petroleum; Sufficient conditions;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831383
