Variable structure adaptive control for a class of continuous time-delay systems

Hazem Nounou, Magdi S. Mahmoud

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This paper focuses on the design of variable structure adaptive control laws for a class of uncertain time-delay systems with time-varying delays. The uncertainties considered here are parametric and norm bounded. Two main problems are investigated. In the first problem, robust adaptive control results are developed. In the second problem, a robust redesign approach is developed yielding an adaptive-based controller against controller gain perturbations. The objective is to derive tractable synthesis conditions for the variable structure adaptive control laws. Simulation results are obtained through a numerical example.

Original languageEnglish
Pages (from-to)225-235
Number of pages11
JournalIMA Journal of Mathematical Control and Information
Volume23
Issue number2
DOIs
Publication statusPublished - Jun 2006
Externally publishedYes

Fingerprint

Variable Structure Control
Continuous-time Systems
Time-delay Systems
Adaptive Control
Time delay
Robust Adaptive Control
Controller
Controllers
Uncertain Systems
Time-varying Delay
Synthesis
Perturbation
Norm
Uncertainty
Numerical Examples
Class
Simulation

Keywords

  • Adaptive control
  • Norm-bounded uncertainties
  • Resilient control
  • Time-delay systems
  • Variable structure control

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Control and Optimization
  • Safety, Risk, Reliability and Quality

Cite this

Variable structure adaptive control for a class of continuous time-delay systems. / Nounou, Hazem; Mahmoud, Magdi S.

In: IMA Journal of Mathematical Control and Information, Vol. 23, No. 2, 06.2006, p. 225-235.

Research output: Contribution to journalArticle

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