2015
DOI: 10.1260/0263-0923.34.4.491
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μ-Synthesis Controller Design for Seismic Alleviation of Structures with Parametric Uncertainties

Abstract: The purpose of this paper is to apply robust μ-synthesis output-feedback controller design for seismic alleviation of multi-structural buildings with parametric uncertainties and to tackle the instabilities and performance declines due to these uncertainties. To this aim, a general lumped-mass tree-building model of a shear-frame multi-structure with horizontal movements is developed, first. Then, an output-feedback controller based on the theory of structured singular value is designed for the main structure … Show more

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Cited by 12 publications
(6 citation statements)
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“…28 The robustness of the control strategies is studied by many different applications considering the sensitivity of the control system to parametric errors and measurement noise added to the system. 11,26–32 Many dynamic destructive effects, such as high-frequency dynamics, which cannot be modeled and which form in different parts of the system, can be evaluated in a single block, such as “Δ.” These uncertainties are called “nonstructural uncertainties.” In linear time-invariant systems, Δ represents an unknown transfer function. Differences between real systems and dynamic models are modeled as follows …”
Section: Robust Control Designmentioning
confidence: 99%
“…28 The robustness of the control strategies is studied by many different applications considering the sensitivity of the control system to parametric errors and measurement noise added to the system. 11,26–32 Many dynamic destructive effects, such as high-frequency dynamics, which cannot be modeled and which form in different parts of the system, can be evaluated in a single block, such as “Δ.” These uncertainties are called “nonstructural uncertainties.” In linear time-invariant systems, Δ represents an unknown transfer function. Differences between real systems and dynamic models are modeled as follows …”
Section: Robust Control Designmentioning
confidence: 99%
“…using LQR, Lyapunov, MPC, fuzzy, or neural networks based methods. 1922,24,25,2729,37 This work adopts the sky-hook damper principle (also known as the absolute velocity feedback) to compute Fd. By measuring the base-isolated absolute acceleration, an integral control law computes the desired force that assures a –40 dB/decade high-frequency response attenuation rate with no overshoot for base-isolated structures described by 38 …”
Section: Semi-active Vibration Controlmentioning
confidence: 99%
“…(6), as shown in Fig. 6, can be solved iteratively by means of D-K iteration approach [40,41]. and look for an appropriate frequency dependent function D(s) in a certain range of frequency to satisfy the previous constraints on () Ds .…”
Section: µ-Synthesismentioning
confidence: 99%