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Authors: M. M. Belhaouane ; R. Mtar ; H. Belkhiria Ayadi and N. Benhadj Braiek

Affiliation: École Polytechnique de Tunis (EPT), Tunisia

Keyword(s): Nonlinear polynomial systems, Lyapunov stability theory, Robust control, Power systems, Linear matrix inequalities.

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

Abstract: In this paper, robust quadratic stabilization of nonlinear polynomial systems within the frame work of Linear Matrix Inequalities (LMIs) is investigated. The studied systems are composed of a vectoriel polynomial function of state variable, perturbed by an additive nonlinearity which depends discontinuously on both time and state. Our main objective is to show, by employing the Lyapunov stability direct method and the Kronecker product properties, how a polynomial state feedback control law can be formulated to stabilize a nonlinear polynomial systems and, at the same time, maximize the bounds on the perturbation which the system can tolerate without going unstable. The efficiency of the proposed control strategy is illustrated on the Turbine - Governor system.

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Paper citation in several formats:
M. Belhaouane, M.; Mtar, R.; Belkhiria Ayadi, H. and Benhadj Braiek, N. (2009). AN APPROACH OF ROBUST QUADRATIC STABILIZATION OF NONLINEAR POLYNOMIAL SYSTEMS - Application to Turbine Governor Control. In Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-989-674-001-6; ISSN 2184-2809, SciTePress, pages 148-155. DOI: 10.5220/0002213901480155

@conference{icinco09,
author={M. {M. Belhaouane}. and R. Mtar. and H. {Belkhiria Ayadi}. and N. {Benhadj Braiek}.},
title={AN APPROACH OF ROBUST QUADRATIC STABILIZATION OF NONLINEAR POLYNOMIAL SYSTEMS - Application to Turbine Governor Control},
booktitle={Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2009},
pages={148-155},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002213901480155},
isbn={978-989-674-001-6},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - AN APPROACH OF ROBUST QUADRATIC STABILIZATION OF NONLINEAR POLYNOMIAL SYSTEMS - Application to Turbine Governor Control
SN - 978-989-674-001-6
IS - 2184-2809
AU - M. Belhaouane, M.
AU - Mtar, R.
AU - Belkhiria Ayadi, H.
AU - Benhadj Braiek, N.
PY - 2009
SP - 148
EP - 155
DO - 10.5220/0002213901480155
PB - SciTePress