EXPONENTIAL OBSERVER FOR A CLASS OF NONLINEAR DISTRIBUTED PARAMETER SYSTEMS WITH APPLICATION TO A NONISOTHERMAL TUBULAR REACTOR
Nadia Barje, Mohammed Achhab, Vincent Wertz
2008
Abstract
This paper present sufficient conditions to construct an exponential state estimator for a class of infinite dimensional non-linear systems driven in a real Hilbert state description. The theory is applied to a nonisothermal plug flow tubular reactor, governed by hyperbolic first order partial differential equations. For this application performance issues of the exponential state estimator design are illustrated in a simulation study.
References
- Achhab, M. E., Laabissi, M., Winkin, J., and Dochain, D. (1999). State trajectory analysis of plug flow nonisothermal reactors using a nonlinear model. In Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, Arizona, USA, 663-667, December.
- Aksikas, I., Winkin, J., and Dochain, D. (2007). Asymptotic stability of infinite-dimensional semilinear systems: application to a nonisothermal reactor. In Systems and Control Letters, vol. 56, 122-132.
- Bounit, H. and Hammouri, H. (1997). Observers for infinite dimensional bilinear systems. European J. of Control, vol. 3, 325-339.
- Cazenave, T. and Haraux, A. (1998). An Introduction to Semilinear Evolution Equations. Clarendon Press. Oxford.
- Curtain, R. F. and Zwart, J. (1995). An Introduction to Infinite Dimentional Linear Systems Theory. Springer, New York.
- Gauthier, J. P., Xu, C. Z., and Bounabat, A. (1995). Observers for infinite dimentional dissipative bilinear systems. In J. Math. Systems, Estimation and Control, vol. 5, 119-122.
- Gressang, R. V. and Lamont, G. B. (1975). Observers for systems characterized by semigroups. In IEEE Trans. Aut. Contr, vol. 20, 523-528.
- Laabissi, M., Achhab, M., Winkin, J., and Dochain, D. (2001). Trajectory analysis of nonisothermal tubular reactor nonlinear models. In Systems and Control Letters, 42, 169-184.
- Orlov, Y. and Dochain, D. (2002). Discontinuous feedback stabilisation of minimum-phase semilinear infinitedimensional systems with application to chemical tubular reactor models. In IEEE Trans. Aut. Contr, vol. 47, 1293-1304.
- Pazy, A. (1983). Semigroups of Linear Operators and Applications to Partial Differential Equations. SpringerVerlag.
- Smets, I., Dochain, D., and Impe, J. V. (2002). Optimal temperature control of a steady-state exothermic plugflow reactor. In AIChE Journal, Vol. 48, No. 2, 279- 286.
- Winkin, J., Dochain, D., and Ligarius, P. (2000). Dynamical analysis of distributed parameter tubular reactors. In Automatica, 36, 349-361.
Paper Citation
in Harvard Style
Barje N., Achhab M. and Wertz V. (2008). EXPONENTIAL OBSERVER FOR A CLASS OF NONLINEAR DISTRIBUTED PARAMETER SYSTEMS WITH APPLICATION TO A NONISOTHERMAL TUBULAR REACTOR . In Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8111-30-2, pages 20-27. DOI: 10.5220/0001484900200027
in Bibtex Style
@conference{icinco08,
author={Nadia Barje and Mohammed Achhab and Vincent Wertz},
title={EXPONENTIAL OBSERVER FOR A CLASS OF NONLINEAR DISTRIBUTED PARAMETER SYSTEMS WITH APPLICATION TO A NONISOTHERMAL TUBULAR REACTOR},
booktitle={Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2008},
pages={20-27},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001484900200027},
isbn={978-989-8111-30-2},
}
in EndNote Style
TY - CONF
JO - Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - EXPONENTIAL OBSERVER FOR A CLASS OF NONLINEAR DISTRIBUTED PARAMETER SYSTEMS WITH APPLICATION TO A NONISOTHERMAL TUBULAR REACTOR
SN - 978-989-8111-30-2
AU - Barje N.
AU - Achhab M.
AU - Wertz V.
PY - 2008
SP - 20
EP - 27
DO - 10.5220/0001484900200027