Siesmic vibration attenuation of a structural system having actuator saturation with a delay dependent H infinity controller

H. Yazici, Rahmi Guclu, I. B. Kucukdemiral

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

1 Citation (Scopus)


This paper deals with the design of state-feedback delay-dependent H 8 controller for active vibration control problem of seismic-excited structures having actuator delay, L 2 disturbances and actuator saturation. First sufficient delay-dependent criteria are developed by choosing a Lyapunov-Krasovskii functional candidate for a stabilizing H 8 synthesis involving a matrix inequality conditions. Then actuator saturation phenomenon is added to the controller design using LMI constraints. The sufficient conditions for designing such controller are obtained in terms of delay-dependent bilinear matrix inequalities (BMIs). To overcome nonlinear optimization problem involved in the delay-dependent conditions, a cone complementary linearization method is used to find a feasible solution set. Using proposed method, a suboptimal controller with maximum allowable delay bound, minimum allowable disturbance attenuation level under actuator saturation constraints can be obtained simultaneously by a convex optimization technique. A four-degree-of-freedom structural system subject to Kobe Earthquake excitations is used to illustrate the effectiveness of the approach through simulations. Simulation results show that the proposed controller is very effective in reducing vibration amplitudes of storeys and guarantees stability at maximum actuator delay bound under actuator saturation constraints.
Original languageUndefined/Unknown
Title of host publicationVibration Problems ICOVP 2011
Subtitle of host publicationThe 10th International Conference on Vibration Problems
EditorsJiri Naprstek, Jaromir Horacek, Miloslav Okrouhlik, Bohdana Marvalova, Ferdinand Verhulst, Jerzy T Sawicki
Number of pages6
ISBN (Electronic)9789400720695
ISBN (Print)9789400720688
Publication statusPublished - Dec 2011
Event10th International Conference on Vibration Problems - Prague, Czech Republic
Duration: 5 Sep 20118 Sep 2011

Publication series

NameSpringer Proceedings In Physics
PublisherSpringer Netherlands


Conference10th International Conference on Vibration Problems
Abbreviated titleICVOP 2011
Country/TerritoryCzech Republic


  • active vibration control
  • H8 control
  • actuator delay
  • actuator saturation
  • linear matrix inequalities

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