Delay-dependent H∞ controller design for seismic-excited structures with actuator delay under consideration of actuator saturation

Hakan Yazici, Rahmi Guclu, Ibrahim B. Kucukdemiral

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

Abstract

This paper studies the design of a state-feedback delay-dependent H∞ controller for vibration attenuation problem of a seismic-excited structural system having time-varying actuator delay, L2 disturbances and actuator saturation. First, sufficient delay-dependent stability criteria are derived by choosing a Lyapunov-Krasovskii functional candidate based on matrix inequalities for a stabilizing H∞ synthesis. To overcome the bilinear matrix inequality problems involved in the delay dependent conditions; a cone complementary linearization method is used to find a feasible solution set. 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). By use of the proposed method, a suboptimal controller with maximum allowable delay bound and minimum allowable disturbance attenuation level can be easily obtained by a convex optimization technique. The effectiveness of the proposed controller is illustrated through simulations of the responses of a-four-degree-of-freedom structural system under seismic excitations. Simulation results show that, in spite of the actuator saturation, the designed controller is all effective in reducing vibration amplitudes of storeys and guarantees stability at maximum actuator delay.
Original languageEnglish
Title of host publicationProceedings of the 18th World Congress The International Federation of Automatic Control (IFAC) Milano (Italy)
PublisherElsevier B.V.
Pages11036 - 11041
Number of pages6
DOIs
Publication statusPublished - Jan 2011

Publication series

NameIFAC Proceedings Volumes
Number1
Volume44
ISSN (Print)1474-6670

Fingerprint

Actuators
Controllers
Convex optimization
Time varying systems
Stability criteria
Linear matrix inequalities
State feedback
Linearization
Cones
Feedback

Keywords

  • seismic-excited structures
  • structural dynamics
  • control systems
  • time delay systems

Cite this

Yazici, H., Guclu, R., & Kucukdemiral, I. B. (2011). Delay-dependent H∞ controller design for seismic-excited structures with actuator delay under consideration of actuator saturation. In Proceedings of the 18th World Congress The International Federation of Automatic Control (IFAC) Milano (Italy) (pp. 11036 - 11041). (IFAC Proceedings Volumes; Vol. 44, No. 1). Elsevier B.V.. https://doi.org/10.3182/20110828-6-IT-1002.01990
Yazici, Hakan ; Guclu, Rahmi ; Kucukdemiral, Ibrahim B. / Delay-dependent H∞ controller design for seismic-excited structures with actuator delay under consideration of actuator saturation. Proceedings of the 18th World Congress The International Federation of Automatic Control (IFAC) Milano (Italy). Elsevier B.V., 2011. pp. 11036 - 11041 (IFAC Proceedings Volumes; 1).
@inproceedings{f396200b90bf425c8c82f2cad61f8ba2,
title = "Delay-dependent H∞ controller design for seismic-excited structures with actuator delay under consideration of actuator saturation",
abstract = "This paper studies the design of a state-feedback delay-dependent H∞ controller for vibration attenuation problem of a seismic-excited structural system having time-varying actuator delay, L2 disturbances and actuator saturation. First, sufficient delay-dependent stability criteria are derived by choosing a Lyapunov-Krasovskii functional candidate based on matrix inequalities for a stabilizing H∞ synthesis. To overcome the bilinear matrix inequality problems involved in the delay dependent conditions; a cone complementary linearization method is used to find a feasible solution set. 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). By use of the proposed method, a suboptimal controller with maximum allowable delay bound and minimum allowable disturbance attenuation level can be easily obtained by a convex optimization technique. The effectiveness of the proposed controller is illustrated through simulations of the responses of a-four-degree-of-freedom structural system under seismic excitations. Simulation results show that, in spite of the actuator saturation, the designed controller is all effective in reducing vibration amplitudes of storeys and guarantees stability at maximum actuator delay.",
keywords = "seismic-excited structures, structural dynamics, control systems, time delay systems",
author = "Hakan Yazici and Rahmi Guclu and Kucukdemiral, {Ibrahim B.}",
year = "2011",
month = "1",
doi = "https://doi.org/10.3182/20110828-6-IT-1002.01990",
language = "English",
series = "IFAC Proceedings Volumes",
publisher = "Elsevier B.V.",
number = "1",
pages = "11036 -- 11041",
booktitle = "Proceedings of the 18th World Congress The International Federation of Automatic Control (IFAC) Milano (Italy)",

}

Yazici, H, Guclu, R & Kucukdemiral, IB 2011, Delay-dependent H∞ controller design for seismic-excited structures with actuator delay under consideration of actuator saturation. in Proceedings of the 18th World Congress The International Federation of Automatic Control (IFAC) Milano (Italy). IFAC Proceedings Volumes, no. 1, vol. 44, Elsevier B.V., pp. 11036 - 11041. https://doi.org/10.3182/20110828-6-IT-1002.01990

Delay-dependent H∞ controller design for seismic-excited structures with actuator delay under consideration of actuator saturation. / Yazici, Hakan; Guclu, Rahmi; Kucukdemiral, Ibrahim B.

Proceedings of the 18th World Congress The International Federation of Automatic Control (IFAC) Milano (Italy). Elsevier B.V., 2011. p. 11036 - 11041 (IFAC Proceedings Volumes; Vol. 44, No. 1).

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

TY - GEN

T1 - Delay-dependent H∞ controller design for seismic-excited structures with actuator delay under consideration of actuator saturation

AU - Yazici, Hakan

AU - Guclu, Rahmi

AU - Kucukdemiral, Ibrahim B.

PY - 2011/1

Y1 - 2011/1

N2 - This paper studies the design of a state-feedback delay-dependent H∞ controller for vibration attenuation problem of a seismic-excited structural system having time-varying actuator delay, L2 disturbances and actuator saturation. First, sufficient delay-dependent stability criteria are derived by choosing a Lyapunov-Krasovskii functional candidate based on matrix inequalities for a stabilizing H∞ synthesis. To overcome the bilinear matrix inequality problems involved in the delay dependent conditions; a cone complementary linearization method is used to find a feasible solution set. 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). By use of the proposed method, a suboptimal controller with maximum allowable delay bound and minimum allowable disturbance attenuation level can be easily obtained by a convex optimization technique. The effectiveness of the proposed controller is illustrated through simulations of the responses of a-four-degree-of-freedom structural system under seismic excitations. Simulation results show that, in spite of the actuator saturation, the designed controller is all effective in reducing vibration amplitudes of storeys and guarantees stability at maximum actuator delay.

AB - This paper studies the design of a state-feedback delay-dependent H∞ controller for vibration attenuation problem of a seismic-excited structural system having time-varying actuator delay, L2 disturbances and actuator saturation. First, sufficient delay-dependent stability criteria are derived by choosing a Lyapunov-Krasovskii functional candidate based on matrix inequalities for a stabilizing H∞ synthesis. To overcome the bilinear matrix inequality problems involved in the delay dependent conditions; a cone complementary linearization method is used to find a feasible solution set. 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). By use of the proposed method, a suboptimal controller with maximum allowable delay bound and minimum allowable disturbance attenuation level can be easily obtained by a convex optimization technique. The effectiveness of the proposed controller is illustrated through simulations of the responses of a-four-degree-of-freedom structural system under seismic excitations. Simulation results show that, in spite of the actuator saturation, the designed controller is all effective in reducing vibration amplitudes of storeys and guarantees stability at maximum actuator delay.

KW - seismic-excited structures

KW - structural dynamics

KW - control systems

KW - time delay systems

U2 - https://doi.org/10.3182/20110828-6-IT-1002.01990

DO - https://doi.org/10.3182/20110828-6-IT-1002.01990

M3 - Conference contribution

T3 - IFAC Proceedings Volumes

SP - 11036

EP - 11041

BT - Proceedings of the 18th World Congress The International Federation of Automatic Control (IFAC) Milano (Italy)

PB - Elsevier B.V.

ER -

Yazici H, Guclu R, Kucukdemiral IB. Delay-dependent H∞ controller design for seismic-excited structures with actuator delay under consideration of actuator saturation. In Proceedings of the 18th World Congress The International Federation of Automatic Control (IFAC) Milano (Italy). Elsevier B.V. 2011. p. 11036 - 11041. (IFAC Proceedings Volumes; 1). https://doi.org/10.3182/20110828-6-IT-1002.01990