On Solving Controlled-Invariance Problems in Dioids Using the PyMinMaxGD Python Scripts Library

Olivier Boutin, Claude Martinez, Naly Rakoto

2024

Abstract

MinMaxGD is a C++ library developed and maintained since 2000 at the LARIS laboratory at Angers, France. It provides ad-hoc primitives for calculations so as to handle periodic series over a dioid (namely M ax in Jγ,δK). Our aim with PyMinMaxGD is to provide, for this C++ library, a Python interface using SWIG, in order to allow scripting programming, on top of the already available programming primitives. The use of PyMinMaxGD is illustrated here to tackle some general problems of control using the controlled-invariance theory. The corresponding control problems deal with the meeting of time or marking constraints or even both of them. First, the set that corresponds to the verification of the constraints is defined, and then the supremal controlled-invariant set included in this specification set is calculated. In the sequel, a controller that allows the state of the system to remain in the latter set is given

Paper Citation

in Harvard Style

Boutin O., Martinez C. and Rakoto N. (2024). On Solving Controlled-Invariance Problems in Dioids Using the PyMinMaxGD Python Scripts Library. In Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-717-7, SciTePress, pages 555-566. DOI: 10.5220/0012936500003822

in Bibtex Style

@conference{icinco24,
author={Olivier Boutin and Claude Martinez and Naly Rakoto},
title={On Solving Controlled-Invariance Problems in Dioids Using the PyMinMaxGD Python Scripts Library},
booktitle={Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2024},
pages={555-566},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012936500003822},
isbn={978-989-758-717-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - On Solving Controlled-Invariance Problems in Dioids Using the PyMinMaxGD Python Scripts Library
SN - 978-989-758-717-7
AU - Boutin O.
AU - Martinez C.
AU - Rakoto N.
PY - 2024
SP - 555
EP - 566
DO - 10.5220/0012936500003822
PB - SciTePress