### Abstract

This paper presents a robust static output feedback H∞ algorithm for control of hysteretic civil engineering structures subjected to earthquake ground motions. Hysteretic structures present a problem for control design and algorithm development due to changes in the structural parameters during large seismic events. The conventional approach that has been employed in the past is to linearize the structure at the initial equilibrium state, thus ignoring the hysteretic characteristics of the structure when computing the gain matrices. This paper extends the H∞ algorithm, which has been developed previously for linear structures, to nonlinear structures using a newly developed procedure that uses stochastic equivalent linearization. In this procedure, the hysteretic parameters are linearized assuming the ground motion to be a filtered white noise using the Kanai-Tajimi power spectral density. The effectiveness of this procedure over the conventional approach is demonstrated by simulation results of hysteretic single-degree-of-freedom structure subjected to earthquake ground motion. This study also shows the effectiveness of using static output feedback for controlling hysteretic structures. For this case, the control effectiveness is not lost when the measurement of the hysteretic variable is ignored.

Original language | English |
---|---|

Pages (from-to) | 37-43 |

Number of pages | 7 |

Journal | Proceedings of the International Modal Analysis Conference - IMAC |

Volume | 1 |

Publication status | Published - 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings of the International Modal Analysis Conference - IMAC*,

*1*, 37-43.

**Stochastic linearization for control of hysteretic structures using H∞ algorithm.** / Ftima, M. B.; Sadek, F.; El-Borgi, Sami; Riley, M. A.

Research output: Contribution to journal › Article

*Proceedings of the International Modal Analysis Conference - IMAC*, vol. 1, pp. 37-43.

}

TY - JOUR

T1 - Stochastic linearization for control of hysteretic structures using H∞ algorithm

AU - Ftima, M. B.

AU - Sadek, F.

AU - El-Borgi, Sami

AU - Riley, M. A.

PY - 2001

Y1 - 2001

N2 - This paper presents a robust static output feedback H∞ algorithm for control of hysteretic civil engineering structures subjected to earthquake ground motions. Hysteretic structures present a problem for control design and algorithm development due to changes in the structural parameters during large seismic events. The conventional approach that has been employed in the past is to linearize the structure at the initial equilibrium state, thus ignoring the hysteretic characteristics of the structure when computing the gain matrices. This paper extends the H∞ algorithm, which has been developed previously for linear structures, to nonlinear structures using a newly developed procedure that uses stochastic equivalent linearization. In this procedure, the hysteretic parameters are linearized assuming the ground motion to be a filtered white noise using the Kanai-Tajimi power spectral density. The effectiveness of this procedure over the conventional approach is demonstrated by simulation results of hysteretic single-degree-of-freedom structure subjected to earthquake ground motion. This study also shows the effectiveness of using static output feedback for controlling hysteretic structures. For this case, the control effectiveness is not lost when the measurement of the hysteretic variable is ignored.

AB - This paper presents a robust static output feedback H∞ algorithm for control of hysteretic civil engineering structures subjected to earthquake ground motions. Hysteretic structures present a problem for control design and algorithm development due to changes in the structural parameters during large seismic events. The conventional approach that has been employed in the past is to linearize the structure at the initial equilibrium state, thus ignoring the hysteretic characteristics of the structure when computing the gain matrices. This paper extends the H∞ algorithm, which has been developed previously for linear structures, to nonlinear structures using a newly developed procedure that uses stochastic equivalent linearization. In this procedure, the hysteretic parameters are linearized assuming the ground motion to be a filtered white noise using the Kanai-Tajimi power spectral density. The effectiveness of this procedure over the conventional approach is demonstrated by simulation results of hysteretic single-degree-of-freedom structure subjected to earthquake ground motion. This study also shows the effectiveness of using static output feedback for controlling hysteretic structures. For this case, the control effectiveness is not lost when the measurement of the hysteretic variable is ignored.

UR - http://www.scopus.com/inward/record.url?scp=0035054241&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035054241&partnerID=8YFLogxK

M3 - Article

VL - 1

SP - 37

EP - 43

JO - Proceedings of the International Modal Analysis Conference - IMAC

JF - Proceedings of the International Modal Analysis Conference - IMAC

SN - 1046-6770

ER -