State Feedback Optimal Control with Singular Solution for a Class of Nonlinear Dynamics

Paolo Di Giamberardino, Daniela Iacoviello

2018

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.

Paper Citation

in Harvard Style

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, pages 336-343. DOI: 10.5220/0006859903360343

in Bibtex Style

@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},
}

in EndNote Style

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
AU - Di Giamberardino P.
AU - Iacoviello D.
PY - 2018
SP - 336
EP - 343
DO - 10.5220/0006859903360343