TY - GEN
T1 - The minimum principle for time-varying hybrid systems with state switching and jumps
AU - Passenberg, Benjamin
AU - Leibold, Marion
AU - Stursberg, Olaf
AU - Buss, Martin
PY - 2011
Y1 - 2011
N2 - The hybrid minimum principle (HMP) is extended to hybrid systems with autonomous (internally forced) switching on switching manifolds, controlled (externally forced) switching, jumps of the continuous state when switching, and time-varying functions for specifying the continuous and discrete dynamics. The formulation of the hybrid optimal control problem (HOCP) includes running, switching, and terminal costs. The HMP provides necessary optimality conditions for a solution of the HOCP and can be used as basis for developing numerical optimal control algorithms.
AB - The hybrid minimum principle (HMP) is extended to hybrid systems with autonomous (internally forced) switching on switching manifolds, controlled (externally forced) switching, jumps of the continuous state when switching, and time-varying functions for specifying the continuous and discrete dynamics. The formulation of the hybrid optimal control problem (HOCP) includes running, switching, and terminal costs. The HMP provides necessary optimality conditions for a solution of the HOCP and can be used as basis for developing numerical optimal control algorithms.
UR - http://www.scopus.com/inward/record.url?scp=84860672715&partnerID=8YFLogxK
U2 - 10.1109/CDC.2011.6160587
DO - 10.1109/CDC.2011.6160587
M3 - Conference contribution
AN - SCOPUS:84860672715
SN - 9781612848006
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 6723
EP - 6729
BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Y2 - 12 December 2011 through 15 December 2011
ER -