“Recursive prediction error methods for online estimation in nonlinear state-space models”

Authors: Dag Ljungquist and Jens G. Balchen,
Affiliation: Norsk Hydro and NTNU, Department of Engineering Cybernetics
Reference: 1994, Vol 15, No 2, pp. 109-121.

Keywords: Recursive estimation, line-search methods, recursive prediction error methods, system identification

Abstract: Several recursive algorithms for online, combined state and parameter estimation in nonlinear state-space models are discussed in this paper. Well-known algorithms such as the extended Kalman filter and alternative formulations of the recursive prediction error method are included, as well as a new method based on a line-search strategy. A comparison of the algorithms illustrates that they are very similar although the differences can be important for the online tracking capabilities and robustness. Simulation experiments on a simple nonlinear process show that the performance under certain conditions can be improved by including a line-search strategy.

PDF PDF (1541 Kb)        DOI: 10.4173/mic.1994.2.4

DOI forward links to this article:
[1] Jens G. Balchen (2000), doi:10.4173/mic.2000.1.1
[2] C. Bohn and H. Unbehauen (2001), doi:10.1049/ip-cta:20010235
[3] Remko Baur, Qi Zhao, Jan Peter Blath, Franz Kallage, Matthias Schultalbers and Christian Bohn (2014), doi:10.1109/CCA.2014.6981603
[4] A. Tarasow, C. Bohn, M. Vinaske, G. Wachsmuth and R. Serway (2010), doi:10.3182/20100712-3-DE-2013.00169
[5] Tomá Polóni, Arnfinn Aas Eielsen, Boris Rohal -Ilkiv and Tor Arne Johansen (2013), doi:10.1115/1.4024008
[6] M R Ananthasayanam, M Shyam Mohan, Naren Naik and R M O Gemson (2016), doi:10.1007/s12046-016-0562-z
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BibTeX:
@article{MIC-1994-2-4,
  title={{Recursive prediction error methods for online estimation in nonlinear state-space models}},
  author={Ljungquist, Dag and Balchen, Jens G.},
  journal={Modeling, Identification and Control},
  volume={15},
  number={2},
  pages={109--121},
  year={1994},
  doi={10.4173/mic.1994.2.4},
  publisher={Norwegian Society of Automatic Control}
};