A PARAMETERIZED POLYHEDRA APPROACH FOR THE EXPLICIT ROBUST MODEL PREDICTIVE CONTROL

Sorin Olaru; Didier Dumur

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Paper

A PARAMETERIZED POLYHEDRA APPROACH FOR THE EXPLICIT ROBUST MODEL PREDICTIVE CONTROL

Topics: Adaptive Signal Processing and Control; Optimization Problems in Signal Processing; Real-Time Systems Control

In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, 3-10, 2005 , Barcelona, Spain

Authors: Sorin Olaru and Didier Dumur

Affiliation: Supelec, France

Keyword(s): Predictive control, constraints, parameterized polyhedra, multiparametric optimization.

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

Abstract: The paper considers the discrete-time linear time-invariant systems affected by input disturbances. The goal is to construct the robust model predictive control (RMPC) law taking into account the constraints existence from the design stage. The explicit formulation of the controller is found by exploiting the fact that the optimum of a min-max multi-parametric program is placed on the parameterized vertices of a parameterized polyhedron. As these vertices have specific validity domains, the control law has the form of a piecewise linear function of the current state. Its evaluation replaces the time-consuming on-line optimization problems.

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Paper citation in several formats:

Olaru, S. and Dumur, D. (2005). A PARAMETERIZED POLYHEDRA APPROACH FOR THE EXPLICIT ROBUST MODEL PREDICTIVE CONTROL. In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 972-8865-31-7; ISSN 2184-2809, SciTePress, pages 3-10. DOI: 10.5220/0001178400030010

@conference{icinco05,
author={Sorin Olaru. and Didier Dumur.},
title={A PARAMETERIZED POLYHEDRA APPROACH FOR THE EXPLICIT ROBUST MODEL PREDICTIVE CONTROL},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2005},
pages={3-10},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001178400030010},
isbn={972-8865-31-7},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - A PARAMETERIZED POLYHEDRA APPROACH FOR THE EXPLICIT ROBUST MODEL PREDICTIVE CONTROL
SN - 972-8865-31-7
IS - 2184-2809
AU - Olaru, S.
AU - Dumur, D.
PY - 2005
SP - 3
EP - 10
DO - 10.5220/0001178400030010
PB - SciTePress