Variable structure control of fractional time-delay systems

Reyad El-Khazali, Wajdi H. Ahmad

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

18 Scopus citations


In this paper, a variable structure control design is presented for a class of fractional time-delay systems of incommensurate order. First, a stable switching manifold, independent of the delay, is designed for a virtual integer-order system. Then, a switched controller that guarantees convergence to the sliding surface is developed. The premise of the design methodology is based on the fact that the stability region of the integer system is a subset of the stability region of the corresponding fractional-order system. An illustrative example is given to illustrate the main idea of this work.

Original languageBritish English
Title of host publication2nd IFAC Workshop on Fractional Differentiation and its Applications, FDA 2006 - Final Program
Number of pages5
EditionPART 1
StatePublished - 2006

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
ISSN (Print)1474-6670


  • Fractional systems
  • Sliding mode control
  • Time-Delay systems


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