Globally uniformly ultimately bounded observer design for a class of nonlinear systems with sampled and delayed measurements

Daoyuan Zhang; Yanjun Shen; Xiao Hua Xia

Kybernetika (2016)

  • Volume: 52, Issue: 3, page 441-460
  • ISSN: 0023-5954

Abstract

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In this paper, we consider two kinds of sampled-data observer design for a class of nonlinear systems. The system output is sampled and transmitted under two kinds of truncations. Firstly, we present definitions of the truncations and the globally uniformly ultimately bounded observer, respectively. Then, two kinds of observers are proposed by using the delayed measurements with these two truncations, respectively. The observers are hybrid in essence. For the first kind of observers, by constructing a Lyapunov-Krasovskii functional, sufficient conditions of globally uniformly ultimately bounded of the estimation errors are derived, and the maximum allowable sampling period and the maximum delay are also given. For the second ones, sufficient conditions are also given to ensure that the estimation errors are globally uniformly ultimately bounded. Finally, an example is provided to illustrate the design methods.

How to cite

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Zhang, Daoyuan, Shen, Yanjun, and Xia, Xiao Hua. "Globally uniformly ultimately bounded observer design for a class of nonlinear systems with sampled and delayed measurements." Kybernetika 52.3 (2016): 441-460. <http://eudml.org/doc/281553>.

@article{Zhang2016,
abstract = {In this paper, we consider two kinds of sampled-data observer design for a class of nonlinear systems. The system output is sampled and transmitted under two kinds of truncations. Firstly, we present definitions of the truncations and the globally uniformly ultimately bounded observer, respectively. Then, two kinds of observers are proposed by using the delayed measurements with these two truncations, respectively. The observers are hybrid in essence. For the first kind of observers, by constructing a Lyapunov-Krasovskii functional, sufficient conditions of globally uniformly ultimately bounded of the estimation errors are derived, and the maximum allowable sampling period and the maximum delay are also given. For the second ones, sufficient conditions are also given to ensure that the estimation errors are globally uniformly ultimately bounded. Finally, an example is provided to illustrate the design methods.},
author = {Zhang, Daoyuan, Shen, Yanjun, Xia, Xiao Hua},
journal = {Kybernetika},
keywords = {nonlinear systems; continuous observers; sampled output; delayed measurements},
language = {eng},
number = {3},
pages = {441-460},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Globally uniformly ultimately bounded observer design for a class of nonlinear systems with sampled and delayed measurements},
url = {http://eudml.org/doc/281553},
volume = {52},
year = {2016},
}

TY - JOUR
AU - Zhang, Daoyuan
AU - Shen, Yanjun
AU - Xia, Xiao Hua
TI - Globally uniformly ultimately bounded observer design for a class of nonlinear systems with sampled and delayed measurements
JO - Kybernetika
PY - 2016
PB - Institute of Information Theory and Automation AS CR
VL - 52
IS - 3
SP - 441
EP - 460
AB - In this paper, we consider two kinds of sampled-data observer design for a class of nonlinear systems. The system output is sampled and transmitted under two kinds of truncations. Firstly, we present definitions of the truncations and the globally uniformly ultimately bounded observer, respectively. Then, two kinds of observers are proposed by using the delayed measurements with these two truncations, respectively. The observers are hybrid in essence. For the first kind of observers, by constructing a Lyapunov-Krasovskii functional, sufficient conditions of globally uniformly ultimately bounded of the estimation errors are derived, and the maximum allowable sampling period and the maximum delay are also given. For the second ones, sufficient conditions are also given to ensure that the estimation errors are globally uniformly ultimately bounded. Finally, an example is provided to illustrate the design methods.
LA - eng
KW - nonlinear systems; continuous observers; sampled output; delayed measurements
UR - http://eudml.org/doc/281553
ER -

References

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