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Authors: Amira Kheriji ; Faouzi Bouani and Mekki Ksouri

Affiliation: National Engineering School of Tunis, Tunisia

Keyword(s): Predictive control, Parametric uncertainty, State space model, Generalized geometric programming, Constrained control, Set-point tracking, Disturbance rejection.

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

Abstract: The goal of this paper is to evaluate the closed loop performances of a new approach in constrained state space Robust Model Predictive Control (RMPC) in the presence of parametric uncertainties. The control law is obtained by the resolution of a min-max optimization problem, initially non convex, under input and input deviation constraints, using worst case strategy. The technique used is the Generalized Geometric Programming (GGP) which is a global optimization method for non convex functions constrained in a specific domain. The key idea of the proposed approach is the convexification of the optimization problem allowing to compute the optimal control law using standard optimization technique. The proposed method is efficient since it guarantees set-point tracking different from the origin and non zero disturbances rejection. The efficiency of this approach is illustrated with two examples and compared with a recent state space RMPC algorithm.

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Paper citation in several formats:
Kheriji, A.; Bouani, F. and Ksouri, M. (2010). EFFICIENT IMPLEMENTATION OF CONSTRAINED ROBUST MODEL PREDICTIVE CONTROL USING A STATE SPACE MODEL. In Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO; ISBN 978-989-8425-02-7; ISSN 2184-2809, SciTePress, pages 116-121. DOI: 10.5220/0002945101160121

@conference{icinco10,
author={Amira Kheriji. and Faouzi Bouani. and Mekki Ksouri.},
title={EFFICIENT IMPLEMENTATION OF CONSTRAINED ROBUST MODEL PREDICTIVE CONTROL USING A STATE SPACE MODEL},
booktitle={Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO},
year={2010},
pages={116-121},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002945101160121},
isbn={978-989-8425-02-7},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO
TI - EFFICIENT IMPLEMENTATION OF CONSTRAINED ROBUST MODEL PREDICTIVE CONTROL USING A STATE SPACE MODEL
SN - 978-989-8425-02-7
IS - 2184-2809
AU - Kheriji, A.
AU - Bouani, F.
AU - Ksouri, M.
PY - 2010
SP - 116
EP - 121
DO - 10.5220/0002945101160121
PB - SciTePress