Design of Frequency-Dependent Weighting Functions for H2 Control of Seismic-Excited Structures

Abstract

In this paper we investigate a systematic procedure for determining frequency-dependent weighting functions for an H2 controller in the frequency domain. Based on experimental results from the system identification of a model structure with an active mass driver, we choose frequency-dependent weighting functions, including filters on an earthquake input model, sensor noise, control output, and control force. These are incorporated into the plant to produce an optimal controller. Combining the weighting functions and filters and comparing the trade-off problem between response reduction and control force, an optimal combination of weighting functions and filters is determined. The performance of the designed H2 controller is evaluated by shaking-table tests of a three-story scaled model with an active mass driver.

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“…The proposed approach is experimentally verified using a high-speed digital signal processor. Min et al (2005) investigated a systematic program for determining frequency-dependent weighting functions for an H-2 controller in the frequency domain. Based on their experimental results from the system identification of a model composition with an active mass driver, they chose a frequency-dependent weighting function, including filters for an earthquake input model, sensor noise, control output, and control force.…”

PZT actuators as on-board instruments to reduce vibrations and strains in submerged structures

“…To design this controller, different weighting transfer functions can be introduced to shape the outputs z over frequency. Hence, differently from the previous LQG controller, in this case the control specifications are defined in the frequency domain, finding a trade-off between different objectives in various frequency ranges [11].…”