Disturbance attenuation of asymmetric structure by LMI based optimal state feedback controller with saturated actuators

Mert Sever, Hakan Yazici, Gulay Goktas, Ibrahim Beklan Kucukdemiral

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

Abstract

This paper is concerned with the design of linear matrix inequalities (LMIs) based optimal state-feedback controller design for seismically excited asymmetric structures (AS) having stiffness irregularities. The system is modelled in terms of mass, natural frequencies, damping ratio and eccentricities to easily obtain torsionally flexible (TF) model. A one storey, two-way asymmetric structural system is used to illustrate the effectiveness of the approach through simulations. The modelled system has bi-lateral and rotational degrees of freedom. Frequency responses show the effectiveness of proposed controller by means of a decrease in the peak values of translation at each resonance frequency. Moreover, the time domain simulation results, acquired by using real time-history data of San Francisco and El Centro Earthquakes also show that proposed controller is very effective in reducing vibration amplitudes of each direction by applicable control signals and guaranteeing the stability of the closed loop system.
Original languageEnglish
Title of host publication 2015 6th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO)
PublisherIEEE
Pages1-6
Number of pages6
ISBN (Electronic)9781467366014
DOIs
Publication statusPublished - 27 May 2015

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Linear matrix inequalities
State feedback
Actuators
Controllers
Closed loop systems
Frequency response
Natural frequencies
Earthquakes
Damping
Stiffness

Keywords

  • asymmetric structure
  • active vibration control
  • state feedback
  • earthquakes
  • ellipsoids
  • damping
  • actuator saturation

Cite this

Sever, M., Yazici, H., Goktas, G., & Kucukdemiral, I. B. (2015). Disturbance attenuation of asymmetric structure by LMI based optimal state feedback controller with saturated actuators. In 2015 6th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO) (pp. 1-6). IEEE. https://doi.org/10.1109/ICMSAO.2015.7152262
Sever, Mert ; Yazici, Hakan ; Goktas, Gulay ; Kucukdemiral, Ibrahim Beklan. / Disturbance attenuation of asymmetric structure by LMI based optimal state feedback controller with saturated actuators. 2015 6th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO). IEEE, 2015. pp. 1-6
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title = "Disturbance attenuation of asymmetric structure by LMI based optimal state feedback controller with saturated actuators",
abstract = "This paper is concerned with the design of linear matrix inequalities (LMIs) based optimal state-feedback controller design for seismically excited asymmetric structures (AS) having stiffness irregularities. The system is modelled in terms of mass, natural frequencies, damping ratio and eccentricities to easily obtain torsionally flexible (TF) model. A one storey, two-way asymmetric structural system is used to illustrate the effectiveness of the approach through simulations. The modelled system has bi-lateral and rotational degrees of freedom. Frequency responses show the effectiveness of proposed controller by means of a decrease in the peak values of translation at each resonance frequency. Moreover, the time domain simulation results, acquired by using real time-history data of San Francisco and El Centro Earthquakes also show that proposed controller is very effective in reducing vibration amplitudes of each direction by applicable control signals and guaranteeing the stability of the closed loop system.",
keywords = "asymmetric structure, active vibration control, state feedback, earthquakes, ellipsoids, damping, actuator saturation",
author = "Mert Sever and Hakan Yazici and Gulay Goktas and Kucukdemiral, {Ibrahim Beklan}",
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Sever, M, Yazici, H, Goktas, G & Kucukdemiral, IB 2015, Disturbance attenuation of asymmetric structure by LMI based optimal state feedback controller with saturated actuators. in 2015 6th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO). IEEE, pp. 1-6. https://doi.org/10.1109/ICMSAO.2015.7152262

Disturbance attenuation of asymmetric structure by LMI based optimal state feedback controller with saturated actuators. / Sever, Mert; Yazici, Hakan; Goktas, Gulay; Kucukdemiral, Ibrahim Beklan.

2015 6th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO). IEEE, 2015. p. 1-6.

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

TY - GEN

T1 - Disturbance attenuation of asymmetric structure by LMI based optimal state feedback controller with saturated actuators

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N2 - This paper is concerned with the design of linear matrix inequalities (LMIs) based optimal state-feedback controller design for seismically excited asymmetric structures (AS) having stiffness irregularities. The system is modelled in terms of mass, natural frequencies, damping ratio and eccentricities to easily obtain torsionally flexible (TF) model. A one storey, two-way asymmetric structural system is used to illustrate the effectiveness of the approach through simulations. The modelled system has bi-lateral and rotational degrees of freedom. Frequency responses show the effectiveness of proposed controller by means of a decrease in the peak values of translation at each resonance frequency. Moreover, the time domain simulation results, acquired by using real time-history data of San Francisco and El Centro Earthquakes also show that proposed controller is very effective in reducing vibration amplitudes of each direction by applicable control signals and guaranteeing the stability of the closed loop system.

AB - This paper is concerned with the design of linear matrix inequalities (LMIs) based optimal state-feedback controller design for seismically excited asymmetric structures (AS) having stiffness irregularities. The system is modelled in terms of mass, natural frequencies, damping ratio and eccentricities to easily obtain torsionally flexible (TF) model. A one storey, two-way asymmetric structural system is used to illustrate the effectiveness of the approach through simulations. The modelled system has bi-lateral and rotational degrees of freedom. Frequency responses show the effectiveness of proposed controller by means of a decrease in the peak values of translation at each resonance frequency. Moreover, the time domain simulation results, acquired by using real time-history data of San Francisco and El Centro Earthquakes also show that proposed controller is very effective in reducing vibration amplitudes of each direction by applicable control signals and guaranteeing the stability of the closed loop system.

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Sever M, Yazici H, Goktas G, Kucukdemiral IB. Disturbance attenuation of asymmetric structure by LMI based optimal state feedback controller with saturated actuators. In 2015 6th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO). IEEE. 2015. p. 1-6 https://doi.org/10.1109/ICMSAO.2015.7152262