Abstract
In this paper, we investigate the design and performance of static feedback controllers with partial-state information for the seismic protection of tall buildings equipped with incomplete multi-actuation systems. The proposed approach considers a partially instrumented multi-story building with an incomplete system of interstory force–actuation devices implemented on selected levels of the building, and an associated set of collocated sensors that measure the corresponding interstory drifts and interstory velocities. The main elements of the proposed controller design methodology are presented by means of a twenty-story building equipped with a system of ten interstory actuators arranged in three different layouts: concentrated, semi-distributed and fully-distributed. For these control configurations, partial-state controllers are designed following a static output-feedback H-infinity controller design approach, and the corresponding frequency and time responses are investigated. The obtained results clearly indicate that the proposed partial-state controllers are effective in mitigating the building seismic response. They also show that a suitable distribution of the instrumented stories is a relevant factor in the control system performance.
Highlights
Vibration control of large buildings and civil structures is an important issue that has attracted increasing research attention over the last years [1,2,3,4,5]
We present a controller design methodology for the seismic protection of tall buildings equipped with a distributed set of actuators and collocated sensors
For the concentrated actuation scheme AS1, the absolute peak-values of the interstory-drifts, story absolute accelerations and control efforts corresponding to the different control configurations are presented in Figure 6, where the black solid line with squares presents the response of the uncontrolled building, the blue solid line with triangles corresponds to the full-state e1 and the red dashed line with asterisks controller defined by the state-feedback control matrix G
Summary
Vibration control of large buildings and civil structures is an important issue that has attracted increasing research attention over the last years [1,2,3,4,5]. The solution proposed in this work is based on an advanced static output-feedback H∞ approach that allows for obtaining controllers with incomplete state information by solving a two-step Linear Matrix Inequality (LMI). We consider three different actuation schemes for a 20-story building equipped with a system of 10 actuation devices: a concentrated actuation scheme, a semi-distributed actuation scheme, and a fully-distributed actuation scheme (see Figure 2) For these three actuation layouts, partial-state controllers that only use the state information corresponding to the instrumented stories are designed and their frequency and time responses are investigated. The obtained results confirm the effectiveness of structural vibration control strategies with incomplete multi-actuator systems and partial state information They point out that an enhanced performance can be achieved by a suitable distribution of the instrumented stories.
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