A RECURSIVE FRISCH SCHEME ALGORITHM FOR COLOURED OUTPUT NOISE
J. G. Linden, K. J. Burnham
2008
Abstract
A recursive (adaptive) algorithm for the identification of dynamical linear errors-in-variables systems in the case of coloured output noise is developed. The input measurement noise variance as well as the auto-covariance elements of the coloured output noise sequence are determined via two separate Newton algorithms. The model parameter estimates are obtained by a recursive bias-compensating instrumental variables algorithm with past noisy inputs as instruments, thus allowing the compensation for the explicitly computed bias at each discrete-time instance. The performance of the developed algorithm is demonstrated via simulation.
References
- Beghelli, S., Guidorzi, R. P., and Soverini, U. (1990). The Frisch scheme in dynamic system identification. Automatica, 26(1):171-176.
- Ding, F., Chen, T., and Qiu, L. (2006). Bias compensation based recursive least-squares identification algorithm for MISO systems. IEEE Trans. on Circuits and Systems, 53(5):349-353.
- Diversi, R., Guidorzi, R., and Soverini, U. (2003). Algorithms for optimal errors-in-variables filtering. Systems & Control Letters, 48:1-13.
- Hong, M., S öderström, T., Soverini, U., and Diversi, R. (2007). Comparison of three Frisch methods for errors-in-variables identification. Technical Report 2007-021, Uppsala University.
- Linden, J. G., Vinsonneau, B., and Burnham, K. J. (2007). Fast algorithms for recursive Frisch scheme system identification. In Proc. CD-ROM IAR & ACD Int. Conf., Grenoble, France.
- Linden, J. G., Vinsonneau, B., and Burnham, K. J. (2008). Gradient-based approaches for recursive Frisch scheme identification. To be published at the 17th IFAC World Congress 2008.
- Ljung, L. (1999). System Identification - Theory for the user. PTR Prentice Hall Infromation and System Sciences Series. Prentice Hall, New Jersey, 2nd edition.
- Ljung, L. and S öderström, T. (1983). Theory and Practice of Recursive Identification. M.I.T. Press, Cambridge, MA.
- S öderström, T. (2007a). Accuracy analysis of the Frisch scheme for identifying errors-in-variables systems. Automatica, 52(6):985-997.
- S öderström, T. (2007b). Errors-in-variables methods in system identification. Automatica, 43(6):939-958.
Paper Citation
in Harvard Style
G. Linden J. and J. Burnham K. (2008). A RECURSIVE FRISCH SCHEME ALGORITHM FOR COLOURED OUTPUT NOISE . In Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 978-989-8111-32-6, pages 163-170. DOI: 10.5220/0001496701630170
in Bibtex Style
@conference{icinco08,
author={J. G. Linden and K. J. Burnham},
title={A RECURSIVE FRISCH SCHEME ALGORITHM FOR COLOURED OUTPUT NOISE},
booktitle={Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2008},
pages={163-170},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001496701630170},
isbn={978-989-8111-32-6},
}
in EndNote Style
TY - CONF
JO - Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - A RECURSIVE FRISCH SCHEME ALGORITHM FOR COLOURED OUTPUT NOISE
SN - 978-989-8111-32-6
AU - G. Linden J.
AU - J. Burnham K.
PY - 2008
SP - 163
EP - 170
DO - 10.5220/0001496701630170