Recursive identification algorithm for dynamic systems with output backlash and its convergence

Ruili Dong; Qingyuan Tan; Yonghong Tan

International Journal of Applied Mathematics and Computer Science (2009)

  • Volume: 19, Issue: 4, page 631-638
  • ISSN: 1641-876X

Abstract

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This paper proposes a recursive identification method for systems with output backlash that can be described by a pseudoWiener model. In this method, a novel description of the nonlinear part of the system, i.e., backlash, is developed. In this case, the nonlinear system is decomposed into a piecewise linearized model. Then, a modified recursive general identification algorithm (MRGIA) is employed to estimate the parameters of the proposed model. Furthermore, the convergence of the MRGIA for the pseudo-Wiener system with backlash is analysed. Finally, a numerical example is presented.

How to cite

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Ruili Dong, Qingyuan Tan, and Yonghong Tan. "Recursive identification algorithm for dynamic systems with output backlash and its convergence." International Journal of Applied Mathematics and Computer Science 19.4 (2009): 631-638. <http://eudml.org/doc/207961>.

@article{RuiliDong2009,
abstract = {This paper proposes a recursive identification method for systems with output backlash that can be described by a pseudoWiener model. In this method, a novel description of the nonlinear part of the system, i.e., backlash, is developed. In this case, the nonlinear system is decomposed into a piecewise linearized model. Then, a modified recursive general identification algorithm (MRGIA) is employed to estimate the parameters of the proposed model. Furthermore, the convergence of the MRGIA for the pseudo-Wiener system with backlash is analysed. Finally, a numerical example is presented.},
author = {Ruili Dong, Qingyuan Tan, Yonghong Tan},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {nonlinear system; backlash; recursive identification; pseudo-Wiener model},
language = {eng},
number = {4},
pages = {631-638},
title = {Recursive identification algorithm for dynamic systems with output backlash and its convergence},
url = {http://eudml.org/doc/207961},
volume = {19},
year = {2009},
}

TY - JOUR
AU - Ruili Dong
AU - Qingyuan Tan
AU - Yonghong Tan
TI - Recursive identification algorithm for dynamic systems with output backlash and its convergence
JO - International Journal of Applied Mathematics and Computer Science
PY - 2009
VL - 19
IS - 4
SP - 631
EP - 638
AB - This paper proposes a recursive identification method for systems with output backlash that can be described by a pseudoWiener model. In this method, a novel description of the nonlinear part of the system, i.e., backlash, is developed. In this case, the nonlinear system is decomposed into a piecewise linearized model. Then, a modified recursive general identification algorithm (MRGIA) is employed to estimate the parameters of the proposed model. Furthermore, the convergence of the MRGIA for the pseudo-Wiener system with backlash is analysed. Finally, a numerical example is presented.
LA - eng
KW - nonlinear system; backlash; recursive identification; pseudo-Wiener model
UR - http://eudml.org/doc/207961
ER -

References

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  13. Pearson, R. K. and Pottmann, M. (2000). Gray-box identification of block-oriented nonlinear models, Journal of Process Control 10(4): 301-315. 
  14. Selmic, R. R. and Lewis, F. L. (2001). Neural net backlash compensation with Hebbian tuning using dynamic inversion, Automatica 37(8): 1269-1277. Zbl0992.93027
  15. Toyozawa, Y., Kashiwag, H. and Harada, H. (2004). Identification of Volterra kernels of nonlinear system having backlash type nonlinearity, 30th Annual Conference of the IEEE Industrial Electronics Society, Busan, Korea, pp. 2798-2802. 
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