SOLUTION OF AN INVERSE PROBLEM BY CORRECTION OF TABULAR FUNCTION FOR MODELS OF NONLINEAR DYNAMIC SYSTEMS

I. A. Bogulavsky

2010

Abstract

In this paper, we present a solution to the problem of correction of parameterized tabular nominal functions for the motion equations in a model of a nonlinear dynamical system using observations in discrete time. The correction vector is determined by the mean of the multi-polynomial approximation algorithm (MPAalgorithm) using observations of the noise functions of the components of the state vectors. The method of correction of tabular functions is demonstrated by correcting 204 parameters in an example involving a mathematical model of the motion of an F-16 aircraft.

References

  1. Klein V., Morelli A.G. (2006) Aircraft System Identification: Theory and Methods In AIAA.
  2. Cappe O., Moulines E., Ryden T. (2005) Interference in Hidden Markov Models In Springer-Verlag, NewYork.
  3. Gordon N.J., Salmond, D.J., and Smith, A.F.M. (1993) Novel approach to nonlinear/non-Gaussian Bayesian state estimation In IEE Proceedings-F 140, PP. 107- 113.
  4. Doucet, A., Godsill, S., and Andrieu C. (2000) On sequential Monte Carlo sampling methods for Bayesian filtering In Statistics and Computing 10, PP. 197-208.
  5. Doucet A., de Fraitas, N., and Gordon, N. (2001) Sequential Monte Carlo Methods in Practice In Springer-Verlag, New York.
  6. Ristic, B., Arulampalam, S., and Gordon, N. (2004) Beyond the Kalman Filter - Particle Filters for Tracking Applications, Artech House, Boston, London.
  7. Ghosh,S, Manohar C.S., and Roy D. (2008) Sequential importance sampling filters with a new proposal distribution for parameter identification of structural systems In Proceedings of Royal Society of London A, 464, 25-47.
  8. Namdeo V, and Manohar C.S. (2007) Nonlinear structural dynamical system identification using adaptive particle filters In Journal of Sound and Vibration 306, 524-563.
  9. S L Cotter, M Dashti, J C Robinson and A M Stuart (2009) Bayesian inverse problems for functions and applications to fluid mechanics In Inverse Problems 25, 115008 (43pp).
  10. Boguslavskiy J.A. (1996) A Bayes estimations of nonlinear regression and adjacent problems. In Journal of Computer and Systems Sciences International 4, , pp. 14 - 24.
  11. Boguslavskiy J.A. (2006) Polynomial Approximations for Nonlinear Problems of Estimation and Control Fizmat, MAIK.
  12. Boguslavskiy J.A. (2008) Method for the Non-linear identification of Aircraft Parameters by Testing Maneuvers In International Conference on Numerical Analysis and Applied Mathematics AIP Conf. Proc., 2008, V. 1048, pp 92-99.
  13. Boguslavskiy J.A. (2009) A Bayes Estimator of Parameters of Nonlinear Dynamic Systemems In Mathematical Problems in Engineering, 2009.
  14. Stone M. (1937) Applications of the Theory of Boolean Rings to General Topology In Trans. Amer. Math. Soc. -1937,-V.41.-P.375-481
Download


Paper Citation


in Harvard Style

Bogulavsky I. (2010). SOLUTION OF AN INVERSE PROBLEM BY CORRECTION OF TABULAR FUNCTION FOR MODELS OF NONLINEAR DYNAMIC SYSTEMS . In Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 978-989-8425-02-7, pages 134-139. DOI: 10.5220/0002954901340139


in Bibtex Style

@conference{icinco10,
author={I. A. Bogulavsky},
title={SOLUTION OF AN INVERSE PROBLEM BY CORRECTION OF TABULAR FUNCTION FOR MODELS OF NONLINEAR DYNAMIC SYSTEMS},
booktitle={Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2010},
pages={134-139},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002954901340139},
isbn={978-989-8425-02-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - SOLUTION OF AN INVERSE PROBLEM BY CORRECTION OF TABULAR FUNCTION FOR MODELS OF NONLINEAR DYNAMIC SYSTEMS
SN - 978-989-8425-02-7
AU - Bogulavsky I.
PY - 2010
SP - 134
EP - 139
DO - 10.5220/0002954901340139