L-2 gain control of time-delay systems with actuator saturation

M.N.Alpasian Parlakci, Ibrahim B. Kucukdemiral

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Disturbance attenuation problem in terms of L 2- gain for continuous linear time-delay (LTD) systems with nonzero initial conditions, time-varying delays and saturating control is addressed where the disturbances acting on the system are with bounded energy. First, a group of sufficient conditions in terms of bilinear matrix inequalities (BMIs) are obtained. Then, to solve this problem, cone complementary linearization method is adopted to the problem. The proposed method utilizes convex description of nonlinear saturation phenomenon by means of convex hull of some linear feedback which leads to a few additional ellipsoidal conditions in terms of linear matrix inequalities (LMIs). The validity of the method is illustrated through some examples at the end.
Original languageEnglish
Title of host publication2010 International Conference on System Science and Engineering
Number of pages6
ISBN (Electronic)9781424464746
ISBN (Print)9781424464722
Publication statusPublished - 2010


  • time-delayed systems
  • L2 gain control
  • actuator saturation
  • LMIs
  • artificial neural network


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