Global output feedback stabilization for nonlinear fractional order time delay systems

Hanen Benali

Kybernetika (2021)

  • Volume: 57, Issue: 5, page 785-800
  • ISSN: 0023-5954

Abstract

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This paper investigates the problem of global stabilization by state and output-feedback for a family of for nonlinear Riemann-Liouville and Caputo fractional order time delay systems written in triangular form satisfying linear growth conditions. By constructing a appropriate Lyapunov-Krasovskii functional, global asymptotic stability of the closed-loop systems is achieved. Moreover, sufficient conditions for the stability, for the particular class of fractional order time-delay system are obtained. Finally, simulation results dealing with typical bioreactor example, are given to illustrate that the proposed design procedures are very efficient and simple.

How to cite

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Benali, Hanen. "Global output feedback stabilization for nonlinear fractional order time delay systems." Kybernetika 57.5 (2021): 785-800. <http://eudml.org/doc/297712>.

@article{Benali2021,
abstract = {This paper investigates the problem of global stabilization by state and output-feedback for a family of for nonlinear Riemann-Liouville and Caputo fractional order time delay systems written in triangular form satisfying linear growth conditions. By constructing a appropriate Lyapunov-Krasovskii functional, global asymptotic stability of the closed-loop systems is achieved. Moreover, sufficient conditions for the stability, for the particular class of fractional order time-delay system are obtained. Finally, simulation results dealing with typical bioreactor example, are given to illustrate that the proposed design procedures are very efficient and simple.},
author = {Benali, Hanen},
journal = {Kybernetika},
keywords = {Riemann–Liouville fractional; nonlinear time delay system; observer design; asymptotical stability; Lyapunov functional},
language = {eng},
number = {5},
pages = {785-800},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Global output feedback stabilization for nonlinear fractional order time delay systems},
url = {http://eudml.org/doc/297712},
volume = {57},
year = {2021},
}

TY - JOUR
AU - Benali, Hanen
TI - Global output feedback stabilization for nonlinear fractional order time delay systems
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
VL - 57
IS - 5
SP - 785
EP - 800
AB - This paper investigates the problem of global stabilization by state and output-feedback for a family of for nonlinear Riemann-Liouville and Caputo fractional order time delay systems written in triangular form satisfying linear growth conditions. By constructing a appropriate Lyapunov-Krasovskii functional, global asymptotic stability of the closed-loop systems is achieved. Moreover, sufficient conditions for the stability, for the particular class of fractional order time-delay system are obtained. Finally, simulation results dealing with typical bioreactor example, are given to illustrate that the proposed design procedures are very efficient and simple.
LA - eng
KW - Riemann–Liouville fractional; nonlinear time delay system; observer design; asymptotical stability; Lyapunov functional
UR - http://eudml.org/doc/297712
ER -

References

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