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

Abstract

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
PublisherSpringer
Pages413-418
Number of pages6
ISBN (Electronic)9789400720695
ISBN (Print)9789400720688
DOIs
Publication statusPublished - Dec 2011

Publication series

NameSpringer Proceedings In Physics
PublisherSpringer Netherlands
Number139

Keywords

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

Cite this

Yazici, H., Guclu, R., & Kucukdemiral, I. B. (2011). Siesmic vibration attenuation of a structural system having actuator saturation with a delay dependent H infinity controller. In J. Naprstek, J. Horacek, M. Okrouhlik, B. Marvalova, F. Verhulst, & J. T. Sawicki (Eds.), Vibration Problems ICOVP 2011: The 10th International Conference on Vibration Problems (pp. 413-418). (Springer Proceedings In Physics; No. 139). Springer. https://doi.org/10.1007/978-94-007-2069-5_56
Yazici, H. ; Guclu, Rahmi ; Kucukdemiral, I. B. / Siesmic vibration attenuation of a structural system having actuator saturation with a delay dependent H infinity controller. Vibration Problems ICOVP 2011: The 10th International Conference on Vibration Problems. editor / Jiri Naprstek ; Jaromir Horacek ; Miloslav Okrouhlik ; Bohdana Marvalova ; Ferdinand Verhulst ; Jerzy T Sawicki. Springer, 2011. pp. 413-418 (Springer Proceedings In Physics; 139).
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title = "Siesmic vibration attenuation of a structural system having actuator saturation with a delay dependent H infinity controller",
abstract = "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.",
keywords = "active vibration control, H8 control, actuator delay , actuator saturation, linear matrix inequalities",
author = "H. Yazici and Rahmi Guclu and Kucukdemiral, {I. B.}",
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Yazici, H, Guclu, R & Kucukdemiral, IB 2011, Siesmic vibration attenuation of a structural system having actuator saturation with a delay dependent H infinity controller. in J Naprstek, J Horacek, M Okrouhlik, B Marvalova, F Verhulst & JT Sawicki (eds), Vibration Problems ICOVP 2011: The 10th International Conference on Vibration Problems. Springer Proceedings In Physics, no. 139, Springer, pp. 413-418. https://doi.org/10.1007/978-94-007-2069-5_56

Siesmic vibration attenuation of a structural system having actuator saturation with a delay dependent H infinity controller. / Yazici, H.; Guclu, Rahmi; Kucukdemiral, I. B.

Vibration Problems ICOVP 2011: The 10th International Conference on Vibration Problems. ed. / Jiri Naprstek; Jaromir Horacek; Miloslav Okrouhlik; Bohdana Marvalova; Ferdinand Verhulst; Jerzy T Sawicki. Springer, 2011. p. 413-418 (Springer Proceedings In Physics; No. 139).

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

TY - GEN

T1 - Siesmic vibration attenuation of a structural system having actuator saturation with a delay dependent H infinity controller

AU - Yazici, H.

AU - Guclu, Rahmi

AU - Kucukdemiral, I. B.

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N2 - 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.

AB - 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.

KW - active vibration control

KW - H8 control

KW - actuator delay

KW - actuator saturation

KW - linear matrix inequalities

U2 - 10.1007/978-94-007-2069-5_56

DO - 10.1007/978-94-007-2069-5_56

M3 - Conference contribution

SN - 9789400720688

T3 - Springer Proceedings In Physics

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EP - 418

BT - Vibration Problems ICOVP 2011

A2 - Naprstek, Jiri

A2 - Horacek, Jaromir

A2 - Okrouhlik, Miloslav

A2 - Marvalova, Bohdana

A2 - Verhulst, Ferdinand

A2 - Sawicki, Jerzy T

PB - Springer

ER -

Yazici H, Guclu R, Kucukdemiral IB. Siesmic vibration attenuation of a structural system having actuator saturation with a delay dependent H infinity controller. In Naprstek J, Horacek J, Okrouhlik M, Marvalova B, Verhulst F, Sawicki JT, editors, Vibration Problems ICOVP 2011: The 10th International Conference on Vibration Problems. Springer. 2011. p. 413-418. (Springer Proceedings In Physics; 139). https://doi.org/10.1007/978-94-007-2069-5_56