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Authors: Paolo Di Giamberardino 1 and Daniela Iacoviello 2

Affiliations: 1 Dept. Computer, Control and Management Engineering Antonio Ruberti, Sapienza University of Rome and Italy ; 2 Dept. Computer, Control and Management Engineering Antonio Ruberti, Sapienza University of Rome, Italy, Institute for Systems Analysis and Computer Science Antonio Ruberti, Rome and Italy

Keyword(s): Optimal Control, Singular Control, Costate Independent Singular Surface, SIR Epidemic Model.

Related Ontology Subjects/Areas/Topics: Engineering Applications ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization ; Nonlinear Signals and Systems ; Optimization Problems in Signal Processing ; Robotics and Automation ; Signal Processing, Sensors, Systems Modeling and Control

Abstract: The paper studies the problem of determining the optimal control when singular arcs are present in the solution. In the general classical approach the expressions obtained depend on the state and the costate variables at the same time, so requiring a forward-backward integration for the computation of the control. In this paper, sufficient conditions on the dynamics structure are provided and discussed in order to have both the control and the switching function depending on the state only, so simplifying the computation avoiding the necessity of the backward integration. The approach has been validated on a classical SIR epidemic model.

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Paper citation in several formats:
Di Giamberardino, P. and Iacoviello, D. (2018). State Feedback Optimal Control with Singular Solution for a Class of Nonlinear Dynamics. In Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-321-6; ISSN 2184-2809, SciTePress, pages 336-343. DOI: 10.5220/0006859903360343

@conference{icinco18,
author={Paolo {Di Giamberardino}. and Daniela Iacoviello.},
title={State Feedback Optimal Control with Singular Solution for a Class of Nonlinear Dynamics},
booktitle={Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2018},
pages={336-343},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006859903360343},
isbn={978-989-758-321-6},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - State Feedback Optimal Control with Singular Solution for a Class of Nonlinear Dynamics
SN - 978-989-758-321-6
IS - 2184-2809
AU - Di Giamberardino, P.
AU - Iacoviello, D.
PY - 2018
SP - 336
EP - 343
DO - 10.5220/0006859903360343
PB - SciTePress