Non-fragile observers design for nonlinear systems with unknown Lipschitz constant

Fan Zhou; Yanjun Shen; Zebin Wu

Kybernetika (2024)

  • Issue: 4, page 475-491
  • ISSN: 0023-5954

Abstract

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In this paper, the problem of globally asymptotically stable non-fragile observer design is investigated for nonlinear systems with unknown Lipschitz constant. Firstly, a definition of globally asymptotically stable non-fragile observer is given for nonlinear systems. Then, an observer function of output is derived by an output filter, and a dynamic high-gain is constructed to deal with unknown Lipschitz constant. Even the observer gains contain diverse large disturbances, the observer errors are proven to converge to the origin based on Lyapunov stability theorem and a matrix inequality. Finally, an experimental simulation is provided to confirm the validity of the proposed method.

How to cite

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Zhou, Fan, Shen, Yanjun, and Wu, Zebin. "Non-fragile observers design for nonlinear systems with unknown Lipschitz constant." Kybernetika (2024): 475-491. <http://eudml.org/doc/299563>.

@article{Zhou2024,
abstract = {In this paper, the problem of globally asymptotically stable non-fragile observer design is investigated for nonlinear systems with unknown Lipschitz constant. Firstly, a definition of globally asymptotically stable non-fragile observer is given for nonlinear systems. Then, an observer function of output is derived by an output filter, and a dynamic high-gain is constructed to deal with unknown Lipschitz constant. Even the observer gains contain diverse large disturbances, the observer errors are proven to converge to the origin based on Lyapunov stability theorem and a matrix inequality. Finally, an experimental simulation is provided to confirm the validity of the proposed method.},
author = {Zhou, Fan, Shen, Yanjun, Wu, Zebin},
journal = {Kybernetika},
keywords = {non-fragile; observer; high gain; unknown Lipschitz constant; output filter},
language = {eng},
number = {4},
pages = {475-491},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Non-fragile observers design for nonlinear systems with unknown Lipschitz constant},
url = {http://eudml.org/doc/299563},
year = {2024},
}

TY - JOUR
AU - Zhou, Fan
AU - Shen, Yanjun
AU - Wu, Zebin
TI - Non-fragile observers design for nonlinear systems with unknown Lipschitz constant
JO - Kybernetika
PY - 2024
PB - Institute of Information Theory and Automation AS CR
IS - 4
SP - 475
EP - 491
AB - In this paper, the problem of globally asymptotically stable non-fragile observer design is investigated for nonlinear systems with unknown Lipschitz constant. Firstly, a definition of globally asymptotically stable non-fragile observer is given for nonlinear systems. Then, an observer function of output is derived by an output filter, and a dynamic high-gain is constructed to deal with unknown Lipschitz constant. Even the observer gains contain diverse large disturbances, the observer errors are proven to converge to the origin based on Lyapunov stability theorem and a matrix inequality. Finally, an experimental simulation is provided to confirm the validity of the proposed method.
LA - eng
KW - non-fragile; observer; high gain; unknown Lipschitz constant; output filter
UR - http://eudml.org/doc/299563
ER -

References

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