Regular Papers

International Journal of Control, Automation and Systems 2013; 11(6): 1084-1094

Published online November 29, 2013

https://doi.org/10.1007/s12555-012-0265-0

© The International Journal of Control, Automation, and Systems

Global Stabilization of a Class of Delay Discrete-Time Nonlinear Systems via State and Output Feedback

Kheir Eddine Bouazza* and Mohammed Ouali

Umm Al-Qura University

Abstract

This paper deals with stabilization of a class of delay discrete-time nonlinear systems through state and output feedback. We provide an explicit bounded state feedback law as an extension of the Jurdjevic-Quinn method, from nonlinear theory, to this class of systems. Next, we present a useful and systematic approach to design an observer for the same class of systems. Then, we show how the global stabilization problem via dynamic output feedback can be solved by using the two previous results. Finally, numerical examples are given to illustrate the effectiveness of the proposed design method.

Keywords Bounded state feedback, discrete systems, nonlinear systems, observer design, output feedback, stabilization, time-delay systems.

Article

Regular Papers

International Journal of Control, Automation and Systems 2013; 11(6): 1084-1094

Published online December 1, 2013 https://doi.org/10.1007/s12555-012-0265-0

Copyright © The International Journal of Control, Automation, and Systems.

Global Stabilization of a Class of Delay Discrete-Time Nonlinear Systems via State and Output Feedback

Kheir Eddine Bouazza* and Mohammed Ouali

Umm Al-Qura University

Abstract

This paper deals with stabilization of a class of delay discrete-time nonlinear systems through state and output feedback. We provide an explicit bounded state feedback law as an extension of the Jurdjevic-Quinn method, from nonlinear theory, to this class of systems. Next, we present a useful and systematic approach to design an observer for the same class of systems. Then, we show how the global stabilization problem via dynamic output feedback can be solved by using the two previous results. Finally, numerical examples are given to illustrate the effectiveness of the proposed design method.

Keywords: Bounded state feedback, discrete systems, nonlinear systems, observer design, output feedback, stabilization, time-delay systems.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

Stats or Metrics

Share this article on

  • line

Related articles in IJCAS

IJCAS

eISSN 2005-4092
pISSN 1598-6446