Robust delay-dependent stabilization of uncertain time-delay systems by variable structure control

Jafarov E. M.

10th International Workshop on Variable Structure Systems, Antalya, Turkey, 8 - 10 June 2008, pp.250-255 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/vss.2008.4570716
  • City: Antalya
  • Country: Turkey
  • Page Numbers: pp.250-255
  • Istanbul Technical University Affiliated: No


In this paper, the problem of robust sliding mode controller design for uncertain multivariable systems with several fixed state delays is addressed. A new combined sliding mode controller is considered and designed for the delay-dependent stabilization of perturbed sliding time-delay systems with matched parameter uncertainties and external disturbances. Delay-dependent stability and sliding mode existence conditions are derived by using modified Lyapunov-Krasovskii Junctional and formulated in terms of LMI The allowable upper bounds on the time-delay are determined from the LMI stability conditions. A numerical example is given to illustrate the usefulness of the proposed design