• An optimal control approach fo...

Treffer: An optimal control approach for hybrid systems. Discussions. Author's reply

Title:
An optimal control approach for hybrid systems. Discussions. Author's reply
Authors:
RIEDINGER, P, LUNG, C, KRATZ, F, ALAMIR, M, ATTIA, S. A, NERODE, A
Source:
European journal of control. 9(5):449-462
Publisher Information:
Cachan: Lavoisier, 2003.
Publication Year:
2003
Physical Description:
print, dissem
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Automatique théorique. Systèmes, Control theory. Systems, Généralités, General, Causalité, Causality, Causalidad, Commande hybride, Hybrid control, Control híbrida, Commande optimale, Optimal control, Control óptimo, Mécanique hamiltonienne, Hamiltonian mechanics, Mecánica hamiltoniana, Méthode numérique, Numerical method, Método numérico, Principe maximum, Maximum principle, Principio máximo, Programmation dynamique, Dynamic programming, Programación dinámica, Programmation système, System programming, Programación sistema, Système discret, Discrete system, Sistema discreto, Système dynamique, Dynamical system, Sistema dinámico, Système hamiltonien, Hamiltonian system, Sistema hamiltoniano, Système hybride, Hybrid system, Sistema híbrido, Hybrid Automata, Hybrid Systems, Maximum Principle, Optimal Control
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Centre de Recherche en Automatique de Nancy (CRAN), CNRS UMR 7039, ENSEM 2, Avenue de la forêt de Haye, 54516 Vandoeuvre-les-Nancy, France
Laboratoire d'Automatique de Grenoble UMR 5528, CNRS-INPG-UJF, ENSIEG BP 46, 38402 Saint Martin d'Hères, France
Goldwin Smith Professor of Mathematics and Computer Science, Cornell University, United States
ISSN:
0947-3580
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=15553612
Rights:
Copyright 2004 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.15553612
Database:
PASCAL Archive

Weitere Informationen

In this paper optimal control for hybrid systems will be discussed. While defining hybrid systems as causal and consistent dynamical systems, a general formulation for an optimal hybrid control problem is proposed. The main contribution of this paper shows how necessary conditions can be derived from the maximum principle and the Bellman principle. An illustrative example shows how optimal hybrid control via a set of Hamiltonian systems and using dynamic programming can be achieved. However, as in the classical case, difficulties related to numerical solutions exist and are increased by the discontinuous aspect of the problem. Looking for efficient algorithms remains a difficult and open problem which is not the purpose of this contribution.