COMPUTATIONAL EXPERIENCE WITH STRUCTURE-PRESERVING HAMILTONIAN SOLVERS IN OPTIMAL CONTROL

Vasile Sima

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Paper

COMPUTATIONAL EXPERIENCE WITH STRUCTURE-PRESERVING HAMILTONIAN SOLVERS IN OPTIMAL CONTROL

Topics: Control and Supervision Systems; Modeling, Simulation and Architectures; Optimization Algorithms

In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, 91-96, 2011 , Noordwijkerhout, Netherlands

Author: Vasile Sima

Affiliation: National Institute for Research & Development in Informatics, Romania

Keyword(s): Linear-quadratic optimization, Optimal control, Structure-preserving algorithms.

Related Ontology Subjects/Areas/Topics: Control and Supervision Systems ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization ; Modeling, Simulation and Architectures ; Optimization Algorithms ; Robotics and Automation

Abstract: Structure-preserving techniques for solving essential computational problems in optimal control are presented. The techniques use possibly extended skew-Hamiltonian/Hamiltonian matrix pencils, and specialized algorithms to exploit their structure: the symplectic URV decomposition, periodic QZ algorithm, solution of periodic Sylvester-like equations, etc. The structure-preserving approach has the potential to avoid the numerical difficulties which are encountered for a traditional, non-structured solution, returned by the currently available software tools. Preliminary computational results are presented.

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Paper citation in several formats:

Sima, V. (2011). COMPUTATIONAL EXPERIENCE WITH STRUCTURE-PRESERVING HAMILTONIAN SOLVERS IN OPTIMAL CONTROL. In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-989-8425-74-4; ISSN 2184-2809, SciTePress, pages 91-96. DOI: 10.5220/0003534100910096

@conference{icinco11,
author={Vasile Sima.},
title={COMPUTATIONAL EXPERIENCE WITH STRUCTURE-PRESERVING HAMILTONIAN SOLVERS IN OPTIMAL CONTROL},
booktitle={Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2011},
pages={91-96},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003534100910096},
isbn={978-989-8425-74-4},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - COMPUTATIONAL EXPERIENCE WITH STRUCTURE-PRESERVING HAMILTONIAN SOLVERS IN OPTIMAL CONTROL
SN - 978-989-8425-74-4
IS - 2184-2809
AU - Sima, V.
PY - 2011
SP - 91
EP - 96
DO - 10.5220/0003534100910096
PB - SciTePress