Input-output decoupling of nonlinear recursive systems

Ülle Kotta

Kybernetika (2000)

  • Volume: 36, Issue: 1, page [43]-51
  • ISSN: 0023-5954

Abstract

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The input-output decoupling problem is studied for a class of recursive nonlinear systems (RNSs), i. e. for systems, modelled by higher order nonlinear difference equations, relating the input, the output and a finite number of their time shifts. The solution of the problem via regular static feedback known for discrete-time nonlinear systems in state space form, is extended to RNSs. Necessary and sufficient conditions for local solvability of the problem are proposed. This is the alternative to be used when some nonlinear input-outpt models cannot be realized in the state-space form.

How to cite

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Kotta, Ülle. "Input-output decoupling of nonlinear recursive systems." Kybernetika 36.1 (2000): [43]-51. <http://eudml.org/doc/33468>.

@article{Kotta2000,
abstract = {The input-output decoupling problem is studied for a class of recursive nonlinear systems (RNSs), i. e. for systems, modelled by higher order nonlinear difference equations, relating the input, the output and a finite number of their time shifts. The solution of the problem via regular static feedback known for discrete-time nonlinear systems in state space form, is extended to RNSs. Necessary and sufficient conditions for local solvability of the problem are proposed. This is the alternative to be used when some nonlinear input-outpt models cannot be realized in the state-space form.},
author = {Kotta, Ülle},
journal = {Kybernetika},
keywords = {input-output decoupling problem; nonlinear input-output model; input-output decoupling problem; nonlinear input-output model},
language = {eng},
number = {1},
pages = {[43]-51},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Input-output decoupling of nonlinear recursive systems},
url = {http://eudml.org/doc/33468},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Kotta, Ülle
TI - Input-output decoupling of nonlinear recursive systems
JO - Kybernetika
PY - 2000
PB - Institute of Information Theory and Automation AS CR
VL - 36
IS - 1
SP - [43]
EP - 51
AB - The input-output decoupling problem is studied for a class of recursive nonlinear systems (RNSs), i. e. for systems, modelled by higher order nonlinear difference equations, relating the input, the output and a finite number of their time shifts. The solution of the problem via regular static feedback known for discrete-time nonlinear systems in state space form, is extended to RNSs. Necessary and sufficient conditions for local solvability of the problem are proposed. This is the alternative to be used when some nonlinear input-outpt models cannot be realized in the state-space form.
LA - eng
KW - input-output decoupling problem; nonlinear input-output model; input-output decoupling problem; nonlinear input-output model
UR - http://eudml.org/doc/33468
ER -

References

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  8. Kotta Ü., Model matching problem for nonlinear recursive systems, Proc. Estonian Acad. Sci. Phys. Math. 46 (1997), 251–261 (1997) Zbl0911.93013MR1487063
  9. Kotta Ü., Liu P., Zinober A. S. I., State-space realization of input–output nonlinear difference equations, In: Proc. of European Control Conference, Brussels 1997, Paper N 851 (CD–ROM) (1997) 
  10. Levin A. U., Narendra K. S., 10.1080/00207179508921916, Internat. J. Control 61 (1995), 533–547 (1995) Zbl0830.93017MR1617011DOI10.1080/00207179508921916
  11. Levin A. U., Narendra K. S., 10.1109/72.478390, Part 2: Observabiliy, identification, and control. IEEE Trans. Neural Networks 7 (1996), 30–42 (1996) DOI10.1109/72.478390
  12. Narendra K. S., Cabrera J. B. D., Input–output representation of discrete–time dynamical systems – nonlinear ARMA models, In: Proc. of the 33rd Conference on Decision and Control, 1994, pp. 1118–1119 (1994) 
  13. Nijmeijer H., Schaft A. J. van der, Nonlinear Dynamical Control Systems, Springer–Verlag, New York 1990 MR1047663

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