Semiactive Backstepping Control for Vibration Reduction in a Structure with Magnetorheological Damper Subject to Seismic Motions

Abstract

The use of magnetorheological (MR) dampers for mitigating vibrations caused by seismic motions in civil engineering structures has attracted much interest in the scientific community because of the advantages of this class of device. It is known that MR dampers can generate high damping forces with low energy requirements and low cost of production. However, the complex dynamics that characterize MR dampers make difficult the control design for achieving the vibration reduction goals in an efficient manner. In this article, a semiactive controller based on the backstepping technique is proposed. The controller was applied to a three-story building with an MR damper at its first floor subjected to seismic motions. The performance of the controller was evaluated experimentally by means of real time hybrid testing.

A Review on Adaptive Methods for Structural Control

“…Moreover, the necessity of robustness in case of lack of power supply encourages the adoption of adaptive hybrid or semiactive control devices instead of purely active systems [9,65,90]. For this reason, large effort was recently made towards the improvement of semiactive devices and towards embedding control algorithms in their analytical formulation [137,138].…”

Seismic Vibration Control of 3D Steel Frames with Irregular Plans Using Eccentrically Placed MR Dampers

“…The LQR algorithm has been developed by Kurata et al [57], and widely used in optimum control problems [37][38][39]. The LQR algorithm finds the optimal control force that can be The other voltage dependent parameters in (Equation (18)) are defined as a linear function of the efficient voltage, u [55,56] as follows:…”

“…The other voltage dependent parameters in (Equation (18)) are defined as a linear function of the efficient voltage, [55,56] as follows:…”

Vibration Control of a Base-Isolated Building using Wavelets

“…Developments in vibration control have allowed successful application of the concept in numerous areas. A variety of control techniques, such as LQR control, sliding mode control, backstepping control, 2 H control, ∞ H control, guaranteed-cost control and multi-objective control have been used in vibration systems (see for instance [1]- [5]). Many papers analyze numerical methods for finding an efficient algorithm to calculate a vibration control using the feedback loop approach which is based on the instantaneous knowledge of the system states.…”