Resilient delay-dependent adaptive control of uncertain time-delay systems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this article, resilient delay-dependent adaptive control algorithms are developed for closed-loop stabilization of a class of uncertain time-delay systems with time-varying state delay, nonlinear dynamical perturbation, and controller gain perturbation. The norm of the nonlinear perturbation is assumed to be bounded by a weighted norm of the state, and the norm of the uncertainty of the state feedback gain is assumed to be bounded by a positive constant. Two main problems are investigated. In the first problem, an adaptive control scheme is developed to guarantee asymptotic stabilization of the closed-loop system when the value of the upper bound of the norm of the state feedback gain perturbation is known. In the second problem, asymptotically stabilizing adaptive controller is derived when the value of the upper bound of the norm of the state feedback gain perturbation is assumed to be unknown. A numerical simulation example, that illustrates the two design approaches, is presented.

Original languageEnglish
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages909-914
Number of pages6
DOIs
Publication statusPublished - 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: 12 Dec 200714 Dec 2007

Other

Other46th IEEE Conference on Decision and Control 2007, CDC
CountryUnited States
CityNew Orleans, LA
Period12/12/0714/12/07

Fingerprint

Delay-dependent
Time-delay Systems
Uncertain Systems
State feedback
Adaptive Control
Time delay
State Feedback
Perturbation
Norm
Stabilization
Controllers
Upper bound
Controller
Closed loop systems
Weighted Norm
Nonlinear Perturbations
Adaptive Algorithm
Closed-loop
Closed-loop System
Control Algorithm

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Nounou, H., & Nounou, M. (2007). Resilient delay-dependent adaptive control of uncertain time-delay systems. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 909-914). [4434271] https://doi.org/10.1109/CDC.2007.4434271

Resilient delay-dependent adaptive control of uncertain time-delay systems. / Nounou, Hazem; Nounou, Mohamed.

Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. 2007. p. 909-914 4434271.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nounou, H & Nounou, M 2007, Resilient delay-dependent adaptive control of uncertain time-delay systems. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434271, pp. 909-914, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434271
Nounou H, Nounou M. Resilient delay-dependent adaptive control of uncertain time-delay systems. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. 2007. p. 909-914. 4434271 https://doi.org/10.1109/CDC.2007.4434271
Nounou, Hazem ; Nounou, Mohamed. / Resilient delay-dependent adaptive control of uncertain time-delay systems. Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. 2007. pp. 909-914
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