# Output Feedback Control for a Class of Nonlinear Delayed Systems

### Estelle Cherrier, Tarek Ahmed-Ali, Mondher Farza, Mohammed M’Saad, Françoise Lamnabhi-Lagarrigue

#### Abstract

In this work, delays affecting either the output measurements or the input for a class of nonlinear systems are coped with. This problem is particulary challenging since time delays arise in variety of applications, such as systems communicating through (wireless) networks. Indeed when the controller is a remote one, delays must be taken into account, affecting both the input and the output of the system. We first present a set of cascade high gain observers for triangular nonlinear systems with delayed output measurement. A sufficient condition ensuring the exponential convergence of the observation error towards zero is given. This approach is then applied to design an output feedback control in the presence of input delay. These results are illustrated through numerical simulations.

Download#### Paper Citation

#### in Harvard Style

Cherrier E., Ahmed-Ali T., Farza M., M’Saad M. and Lamnabhi-Lagarrigue F. (2009). **Output Feedback Control for a Class of Nonlinear Delayed Systems** . In *Proceedings of the International Workshop on Networked embedded and control system technologies: European and Russian R&D cooperation - Volume 1: Workshop NESTER, (ICINCO 2009)* ISBN 978-989-674-004-7, pages 45-55. DOI: 10.5220/0002269600450055

#### in Bibtex Style

@conference{workshop nester09,

author={Estelle Cherrier and Tarek Ahmed-Ali and Mondher Farza and Mohammed M’Saad and Françoise Lamnabhi-Lagarrigue},

title={Output Feedback Control for a Class of Nonlinear Delayed Systems},

booktitle={Proceedings of the International Workshop on Networked embedded and control system technologies: European and Russian R&D cooperation - Volume 1: Workshop NESTER, (ICINCO 2009)},

year={2009},

pages={45-55},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002269600450055},

isbn={978-989-674-004-7},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Workshop on Networked embedded and control system technologies: European and Russian R&D cooperation - Volume 1: Workshop NESTER, (ICINCO 2009)

TI - Output Feedback Control for a Class of Nonlinear Delayed Systems

SN - 978-989-674-004-7

AU - Cherrier E.

AU - Ahmed-Ali T.

AU - Farza M.

AU - M’Saad M.

AU - Lamnabhi-Lagarrigue F.

PY - 2009

SP - 45

EP - 55

DO - 10.5220/0002269600450055