Observer design for a class of nonlinear system in cascade with counter-convecting transport dynamics

Xiushan Cai; Linling Liao; Junfeng Zhang; Wei Zhang

Kybernetika (2016)

  • Volume: 52, Issue: 1, page 76-88
  • ISSN: 0023-5954

Abstract

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Observer design for ODE-PDE cascades is studied where the finite-dimension ODE is a globally Lipschitz nonlinear system, while the PDE part is a pair of counter-convecting transport dynamics. One major difficulty is that the state observation only rely on the PDE state at the terminal boundary, the connection point between the ODE and the PDE blocs is not accessible to measure. Combining the backstepping infinite-dimensional transformation with the high gain observer technology, the state of the ODE subsystem and the state of the pair of counter-convecting transport dynamics are estimated. It is shown that the observer error is asymptotically stable. A numerical example is given to illustrate the effectiveness of the proposed method.

How to cite

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Cai, Xiushan, et al. "Observer design for a class of nonlinear system in cascade with counter-convecting transport dynamics." Kybernetika 52.1 (2016): 76-88. <http://eudml.org/doc/276805>.

@article{Cai2016,
abstract = {Observer design for ODE-PDE cascades is studied where the finite-dimension ODE is a globally Lipschitz nonlinear system, while the PDE part is a pair of counter-convecting transport dynamics. One major difficulty is that the state observation only rely on the PDE state at the terminal boundary, the connection point between the ODE and the PDE blocs is not accessible to measure. Combining the backstepping infinite-dimensional transformation with the high gain observer technology, the state of the ODE subsystem and the state of the pair of counter-convecting transport dynamics are estimated. It is shown that the observer error is asymptotically stable. A numerical example is given to illustrate the effectiveness of the proposed method.},
author = {Cai, Xiushan, Liao, Linling, Zhang, Junfeng, Zhang, Wei},
journal = {Kybernetika},
keywords = {nonlinear systems; observer design; backstepping; counter-convecting transport dynamics},
language = {eng},
number = {1},
pages = {76-88},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Observer design for a class of nonlinear system in cascade with counter-convecting transport dynamics},
url = {http://eudml.org/doc/276805},
volume = {52},
year = {2016},
}

TY - JOUR
AU - Cai, Xiushan
AU - Liao, Linling
AU - Zhang, Junfeng
AU - Zhang, Wei
TI - Observer design for a class of nonlinear system in cascade with counter-convecting transport dynamics
JO - Kybernetika
PY - 2016
PB - Institute of Information Theory and Automation AS CR
VL - 52
IS - 1
SP - 76
EP - 88
AB - Observer design for ODE-PDE cascades is studied where the finite-dimension ODE is a globally Lipschitz nonlinear system, while the PDE part is a pair of counter-convecting transport dynamics. One major difficulty is that the state observation only rely on the PDE state at the terminal boundary, the connection point between the ODE and the PDE blocs is not accessible to measure. Combining the backstepping infinite-dimensional transformation with the high gain observer technology, the state of the ODE subsystem and the state of the pair of counter-convecting transport dynamics are estimated. It is shown that the observer error is asymptotically stable. A numerical example is given to illustrate the effectiveness of the proposed method.
LA - eng
KW - nonlinear systems; observer design; backstepping; counter-convecting transport dynamics
UR - http://eudml.org/doc/276805
ER -

References

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