AN APPROACH OF ROBUST QUADRATIC STABILIZATION OF NONLINEAR POLYNOMIAL SYSTEMS - Application to Turbine Governor Control

M. M. Belhaouane, R. Mtar, H. Belkhiria Ayadi, N. Benhadj Braiek

2009

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.

Paper Citation

in Harvard Style

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, pages 148-155. DOI: 10.5220/0002213901480155

in Bibtex Style

@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},
}

in EndNote Style

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
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