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Author: Aude Rondepierre

Affiliation: Laboratoire de Mode´lisation et Calcul, France

Keyword(s): Piecewise affine hybrid systems, polyhedral sets, controllability, optimal control synthesis, algorithms.

Related Ontology Subjects/Areas/Topics: Hybrid Dynamical Systems ; Informatics in Control, Automation and Robotics ; Signal Processing, Sensors, Systems Modeling and Control

Abstract: We consider a particular class of hybrid systems, defined by a piecewise affine dynamic over non-overlapping regions of the state space. We want to control their behaviors so that it reaches a target by minimizing a given cost. We provide a new numerical algorithm under-approximating the controllable domain under the given hybrid dynamic. Given an optimal sequence of states of the hybrid automaton, we are then able to traverse the automaton till the target, locally insuring optimality.

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Paper citation in several formats:
Rondepierre, A. (2005). PIECEWISE AFFINE SYSTEMS CONTROLLABILITY AND HYBRID OPTIMAL CONTROL. In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 972-8865-31-7; ISSN 2184-2809, SciTePress, pages 294-299. DOI: 10.5220/0001185802940299

@conference{icinco05,
author={Aude Rondepierre.},
title={PIECEWISE AFFINE SYSTEMS CONTROLLABILITY AND HYBRID OPTIMAL CONTROL},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2005},
pages={294-299},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001185802940299},
isbn={972-8865-31-7},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - PIECEWISE AFFINE SYSTEMS CONTROLLABILITY AND HYBRID OPTIMAL CONTROL
SN - 972-8865-31-7
IS - 2184-2809
AU - Rondepierre, A.
PY - 2005
SP - 294
EP - 299
DO - 10.5220/0001185802940299
PB - SciTePress