Generalized minimum variance control for buildings under seismic ground motion

Abstract

SUMMARYThe generalized minimum variance (GMV) algorithm for the control of civil engineering structures is developed and presented in this paper. This algorithm needs the knowledge of the seismic excitation model to derive the autoregressive moving average exogen model of the structure. Then the GMV control is applied. The control is designed such that the variance of the generalized cost function is minimized. To demonstrate the e ectiveness of this control technique, simulation tests using a single-degree-offreedom structure are performed. The results show that the relative displacement of the structure and the control e ort are signiÿcantly reduced.

Multi-objective optimal design of inerter-based vibration absorbers for earthquake protection of multi-storey building structures

“…The design of building structures against earthquakes requires appropriate description of the stochastic characteristics of the seismic excitation [31]. For structural control design applications this is commonly established [43][44][45][46] by modeling ground motion g…”

Multi-objective optimal design of Tuned Mass Damper Inerter for base isolated structures

“…The design of structures for earthquake resistance necessitates an accurate depiction of the random features of the seismic vibration. (Clough, Penzien, & Griffin, 1975) For structural control design, ground motion is often assumed to be zero-mean stationary Gaussian white noise with spectral density , where is the excitation frequency (Guenfaf, Djebiri, Boucherit, Boudjema, & Dynamics, 2001;Narasimhan, Nagarajaiah, Johnson, Gavin, & Monitoring, 2006;Singh, Moreschi, & Dynamics, 2002;Taflanidis & Scruggs, 2010). This study models ground motion as a white noise stochastic process with single-sided spectral density for practical engineering significance.…”

Robust Generalized Minimum Variance Controller Using Neural Network for Civil Engineering Problems

“…It is a future information that we must predict. After some calculations, we derive the GMV control strategy given by [15,16]: It is seen from the previous equations that the performance of the GMV control is closely related to the accuracy of the ARMAX model of the system to be controlled. Therefore, if the ARMAX model used to derive the control law differs from the true ARMAX model of the system, control objectives will not be guaranteed.…”