Robust sampled-data observer design for Lipschitz nonlinear systems

Yu Yu; Yanjun Shen

Kybernetika (2018)

  • Volume: 54, Issue: 4, page 699-717
  • ISSN: 0023-5954

Abstract

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In this paper, a robust sampled-data observer is proposed for Lipschitz nonlinear systems. Under the minimum-phase condition, it is shown that there always exists a sampling period such that the estimation errors converge to zero for whatever large Lipschitz constant. The optimal sampling period can also be achieved by solving an optimal problem based on linear matrix inequalities (LMIs). The design methods are extended to Lipschitz nonlinear systems with large external disturbances as well. In such a case, the estimation errors converge to a small region of the origin. The size of the region can be small enough by selecting a proper parameter. Compared with the existing results, the design parameters can be easily obtained by solving LMIs.

How to cite

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Yu, Yu, and Shen, Yanjun. "Robust sampled-data observer design for Lipschitz nonlinear systems." Kybernetika 54.4 (2018): 699-717. <http://eudml.org/doc/294872>.

@article{Yu2018,
abstract = {In this paper, a robust sampled-data observer is proposed for Lipschitz nonlinear systems. Under the minimum-phase condition, it is shown that there always exists a sampling period such that the estimation errors converge to zero for whatever large Lipschitz constant. The optimal sampling period can also be achieved by solving an optimal problem based on linear matrix inequalities (LMIs). The design methods are extended to Lipschitz nonlinear systems with large external disturbances as well. In such a case, the estimation errors converge to a small region of the origin. The size of the region can be small enough by selecting a proper parameter. Compared with the existing results, the design parameters can be easily obtained by solving LMIs.},
author = {Yu, Yu, Shen, Yanjun},
journal = {Kybernetika},
keywords = {sampled-data observer; nonlinear systems; Lipschitz; sampling period; LMIs},
language = {eng},
number = {4},
pages = {699-717},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Robust sampled-data observer design for Lipschitz nonlinear systems},
url = {http://eudml.org/doc/294872},
volume = {54},
year = {2018},
}

TY - JOUR
AU - Yu, Yu
AU - Shen, Yanjun
TI - Robust sampled-data observer design for Lipschitz nonlinear systems
JO - Kybernetika
PY - 2018
PB - Institute of Information Theory and Automation AS CR
VL - 54
IS - 4
SP - 699
EP - 717
AB - In this paper, a robust sampled-data observer is proposed for Lipschitz nonlinear systems. Under the minimum-phase condition, it is shown that there always exists a sampling period such that the estimation errors converge to zero for whatever large Lipschitz constant. The optimal sampling period can also be achieved by solving an optimal problem based on linear matrix inequalities (LMIs). The design methods are extended to Lipschitz nonlinear systems with large external disturbances as well. In such a case, the estimation errors converge to a small region of the origin. The size of the region can be small enough by selecting a proper parameter. Compared with the existing results, the design parameters can be easily obtained by solving LMIs.
LA - eng
KW - sampled-data observer; nonlinear systems; Lipschitz; sampling period; LMIs
UR - http://eudml.org/doc/294872
ER -

References

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