Observer-based adaptive fuzzy control for a class of nonlinear time-delay systems

Hassan A. Yousef, Mohamed Hamdy*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


An observer-based adaptive fuzzy control is presented for a class of nonlinear systems with unknown time delays. The state observer is first designed, and then the controller is designed via the adaptive fuzzy control method based on the observed states. Both the designed observer and controller are independent of time delays. Using an appropriate Lyapunov-Krasovskii functional, the uncertainty of the unknown time delay is compensated, and then the fuzzy logic system in Mamdani type is utilized to approximate the unknown nonlinear functions. Based on the Lyapunov stability theory, the constructed observer-based controller and the closed-loop system are proved to be asymptotically stable. The designed control law is independent of the time delays and has a simple form with only one adaptive parameter vector, which is to be updated on-line. Simulation results are presented to demonstrate the effectiveness of the proposed approach.

Original languageEnglish
Pages (from-to)275-280
Number of pages6
JournalInternational Journal of Automation and Computing
Issue number4
Publication statusPublished - Aug 2013


  • Observer
  • adaptive fuzzy control
  • nonlinear systems
  • stability
  • time delay

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Applied Mathematics


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