STABILIZATION OF UNCERTAIN NONLINEAR SYSTEMS VIA PASSIVITY FEEDBACK EQUIVALENCE AND SLIDING MODE

Rafael Castro-Linares, Alain Glumineau

2007

Abstract

In this paper, a sliding mode controller based on passivity feedback equivalence is developed in order to stabilize an uncertain nonlinear system. It is shown that if the nominal passive system obtained by feedback equivalence is asymptotically stabilized by output feedback, then the uncertain system remains stable provided the upper bounds of the uncertain terms are known. The results obtained are applied to the model of a magnetic levitation system to show the controller methodology design.

Paper Citation

in Harvard Style

Castro-Linares R. and Glumineau A. (2007). STABILIZATION OF UNCERTAIN NONLINEAR SYSTEMS VIA PASSIVITY FEEDBACK EQUIVALENCE AND SLIDING MODE . In Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 978-972-8865-84-9, pages 339-342. DOI: 10.5220/0001614603390342

in Bibtex Style

@conference{icinco07,
author={Rafael Castro-Linares and Alain Glumineau},
title={STABILIZATION OF UNCERTAIN NONLINEAR SYSTEMS VIA PASSIVITY FEEDBACK EQUIVALENCE AND SLIDING MODE},
booktitle={Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2007},
pages={339-342},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001614603390342},
isbn={978-972-8865-84-9},
}

in EndNote Style

TY - CONF
JO - Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - STABILIZATION OF UNCERTAIN NONLINEAR SYSTEMS VIA PASSIVITY FEEDBACK EQUIVALENCE AND SLIDING MODE
SN - 978-972-8865-84-9
AU - Castro-Linares R.
AU - Glumineau A.
PY - 2007
SP - 339
EP - 342
DO - 10.5220/0001614603390342