Identification of Polytopic Models for a Linear Parameter-varying System Performed on a Vehicle
Raluca Liacu, Dominique Beauvois, Emmanuel Godoy
2012
Abstract
This paper deals with the parameter identification of continuous time polytopic models for a linear parameter-varying system (LPV). A continuous-time nonlinear identification approach is presented, a mix between a local approach and a global one is introduced in order to identify a LPV model for the lateral comportement of a vehicle. The proposed approach is based on the prediction error method for LTI systems, which is modified to take into account polytopic models and regularization terms. Using experimental data, different parameter-varying structures, explaining the lateral behavior of the vehicle, were identified by the proposed method considering the velocity as the scheduling parameter.
References
- Fujimori, A. and Ljung, L. (2005). Parameter estimation of polytopic models for a linear parameter varying aircraft system. submitted to Transactions of Japan Society for Aeronautical and Space Sciences (JSASS).
- Heuberger, P. S. C. (2010). On the discretization of lpv state-space representations. Transformation, 4(10):1- 29.
- Ljung, L. (1999). System Identification: Theory for the User (2nd Edition). Prentice Hall.
- Mammar, S. (2006). Memoire presente en vue d'obtenir l'habilitation a diriger les recherches. Universite d'Evry-Val d'Essone.
- McKelvey, T. and Maureen, T. (1995). Identification of State-Space Models from Time and Frequency Data.
- Osborne, M. R. (2007). Separable least squares, variable projection, and the Gauss-Newton algorithm. Electronic Transactions on Numerical Analysis, 28:1-15.
- Roweis, S. T. (1996). Levenberg-marquardt optimization.
Paper Citation
in Harvard Style
Liacu R., Beauvois D. and Godoy E. (2012). Identification of Polytopic Models for a Linear Parameter-varying System Performed on a Vehicle . In Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8565-21-1, pages 470-475. DOI: 10.5220/0004032504700475
in Bibtex Style
@conference{icinco12,
author={Raluca Liacu and Dominique Beauvois and Emmanuel Godoy},
title={Identification of Polytopic Models for a Linear Parameter-varying System Performed on a Vehicle},
booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2012},
pages={470-475},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004032504700475},
isbn={978-989-8565-21-1},
}
in EndNote Style
TY - CONF
JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Identification of Polytopic Models for a Linear Parameter-varying System Performed on a Vehicle
SN - 978-989-8565-21-1
AU - Liacu R.
AU - Beauvois D.
AU - Godoy E.
PY - 2012
SP - 470
EP - 475
DO - 10.5220/0004032504700475