Robust adaptive sliding-mode control for continuous time-delay systems

Mohamed Nounou, Hazem Nounou, Magdi S. Mahmoud

Research output: Contribution to journalArticle

12 Citations (Scopus)


This paper focuses on the development of a robust adaptive sliding-mode scheme for the control of a class of uncertain time-delay systems with time-varying delays. The uncertainties are parametric and norm-bounded. Two main problems are investigated. In the first problem, a sliding-mode observer-based output feedback control scheme is developed. In the second problem, a robust redesign approach is developed yielding an adaptive-based controller against controller and sliding-mode observer gain perturbations. The objective is to derive stability conditions for the closed-loop system in the presence of gain perturbations. Simulation results are obtained through a numerical example.

Original languageEnglish
Pages (from-to)299-313
Number of pages15
JournalIMA Journal of Mathematical Control and Information
Issue number3
Publication statusPublished - Sep 2007



  • Adaptive control
  • Output feedback control
  • Robust control
  • Sliding-mode observer
  • Time-delay systems

ASJC Scopus subject areas

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

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