Observer based control for strong practical stabilization of a class of uncertain time delay systems

Echi Nadhem; Amel Benabdallah

Kybernetika (2019)

  • Volume: 55, Issue: 6, page 1016-1033
  • ISSN: 0023-5954

Abstract

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In this paper, we address the strong practical stabilization problem for a class of uncertain time delay systems with a nominal part written in triangular form. We propose, firstly, a strong practical observer. Then, we show that strong practical stability of the closed loop system with a linear, parameter dependent, state feedback is achieved. Finally, a separation principle is established, that is, we implement the control law with estimate states given by the strong practical observer and we prove that the closed loop system is strong practical stable. With the help of a numerical example, effectiveness of the proposed approach is demonstrated.

How to cite

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Nadhem, Echi, and Benabdallah, Amel. "Observer based control for strong practical stabilization of a class of uncertain time delay systems." Kybernetika 55.6 (2019): 1016-1033. <http://eudml.org/doc/297209>.

@article{Nadhem2019,
abstract = {In this paper, we address the strong practical stabilization problem for a class of uncertain time delay systems with a nominal part written in triangular form. We propose, firstly, a strong practical observer. Then, we show that strong practical stability of the closed loop system with a linear, parameter dependent, state feedback is achieved. Finally, a separation principle is established, that is, we implement the control law with estimate states given by the strong practical observer and we prove that the closed loop system is strong practical stable. With the help of a numerical example, effectiveness of the proposed approach is demonstrated.},
author = {Nadhem, Echi, Benabdallah, Amel},
journal = {Kybernetika},
keywords = {observer; exponential stability; strong practical stability; time delay; Lyapunov--Krasovskii},
language = {eng},
number = {6},
pages = {1016-1033},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Observer based control for strong practical stabilization of a class of uncertain time delay systems},
url = {http://eudml.org/doc/297209},
volume = {55},
year = {2019},
}

TY - JOUR
AU - Nadhem, Echi
AU - Benabdallah, Amel
TI - Observer based control for strong practical stabilization of a class of uncertain time delay systems
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 6
SP - 1016
EP - 1033
AB - In this paper, we address the strong practical stabilization problem for a class of uncertain time delay systems with a nominal part written in triangular form. We propose, firstly, a strong practical observer. Then, we show that strong practical stability of the closed loop system with a linear, parameter dependent, state feedback is achieved. Finally, a separation principle is established, that is, we implement the control law with estimate states given by the strong practical observer and we prove that the closed loop system is strong practical stable. With the help of a numerical example, effectiveness of the proposed approach is demonstrated.
LA - eng
KW - observer; exponential stability; strong practical stability; time delay; Lyapunov--Krasovskii
UR - http://eudml.org/doc/297209
ER -

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