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Converging to and escaping from the global equilibrium: Isostables and optimal control
Mauroy, Alexandre
2014In Proceedings of the 53rd IEEE Conference on Decision and Control
Peer reviewed
 

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Keywords :
dynammical systems; optimal control
Abstract :
[en] This paper studies the optimal control of trajectories converging to or escaping from a stable equilibrium. The control duration is assumed to be short. When the control is turned off, the trajectories have not reached the target and they subsequently evolve according to the free motion dynamics. In this context, we show that the problem can be formulated as a finite-horizon optimal control problem which relies on the notion of isostables. For linear and nonlinear systems, we solve this problem using Pontryagin’s maximum principle and we study the relationship between the optimal solutions and the geometry of the isostables. Finally, optimal strategies for choosing the magnitude and duration of the control are considered.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Mauroy, Alexandre ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Language :
English
Title :
Converging to and escaping from the global equilibrium: Isostables and optimal control
Publication date :
December 2014
Event name :
53rd IEEE Conference on Decision and Control
Event place :
Los Angeles, United States
Event date :
15-17 décembre
Audience :
International
Main work title :
Proceedings of the 53rd IEEE Conference on Decision and Control
Peer reviewed :
Peer reviewed
Funders :
BELSPO return grant
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