Active vibration control of building structure using active disturbance rejection control

Abstract

This article presents an active vibration control of seismically excited building structures. The control scheme is based on active disturbance rejection control, which is an attractive alternative technique for structural vibration suppression and practical motion control solution in the presence of parametric uncertainties and disturbances. The proposed active disturbance rejection control scheme uses a generalized proportional integral observer, which allows us to estimate in real time the unknown dynamics and disturbances in the building structure to cancel their effect using a part of the control signal. First, the active disturbance rejection control provides a proportional derivative controller with robustness to external disturbances and uncertainties, and its structure is expressed in a compact error-based form. An important advantage with respect to other methods is that the proposed scheme does not need the system parameters. Moreover, supposing that displacement and velocity cannot be measured directly, an online robust adaptive observer is introduced to estimate both data, required for the proportional derivative controller. The adaptive observer removes constant disturbance and attenuates measurement noise in acceleration data. Under this line, a second active disturbance rejection control scheme is introduced based on a proportional controller that, unlike proportional derivative, it only needs the velocities that can be directly estimated by integrating the acceleration signals and does not require the adaptive observer. An advantage of this scheme is its simplicity to be implemented because it only needs to tune the proportional gain. Furthermore, this scheme has a similar performance of the proportional derivative controller. The effectiveness of the proposed active disturbance rejection control schemes is demonstrated through experimental results of a reduced scale five-story building structure. The results are found to be a good step in that direction, confirming that the proposed method is promising for practical applications.

Analysis of inertance and damping double‐skyhook control strategies for a semi‐active device combining an adjustable inerter and damper

“…Equation (5) indicates that the inertance at a given instant is an explicit function of the relative displacement between the valve element and the cylinder. This means that the inertance can be controlled by adjusting the relative displacement.…”

“…Let Equation ( 36) be equal to Equation (5), and then, one can obtain the position control law of the valve element as follows:…”

“…1 A passive vibration isolation system is simple, reliable, and widely used, 2,3 but it will significantly increase the structure's weight and cannot adapt flexibly to the exogenous variation excitation. Independent actuators are used in active vibration isolation systems instead of springs and dampers for better performance, [4][5][6] but the system is energy-intensive because of active control and will be ineffective if its sensor and other components fail. Semi-active systems can only change the damping coefficient of the shock absorber and do not add energy to the vibration isolation system.…”

Active Disturbance Rejection Control Approach for Double Pendulum Cranes with Variable Rope Lengths

“…Active disturbance rejection control techniques have been substantially studied recently, with a focus on the benefits of high control accuracy and strong anti-disturbance capacity. The active disturbance rejection control technique is a useful control method that has been employed successfully in many engineering applications, including the control of quadrotor unmanned aerial vehicles [31,32], position tracking control of dc torque motors [33], vibration suppression control of building structures [34], etc. Meanwhile, some robustness issues of nonlinear systems [35] and uncertain systems [36] can be resolved using active disturbance rejection control approaches.…”

Stabilization of a uniform rotating disk-beam-mass system with boundary input disturbance

“…With this approach, the control energy is significantly reduced, which is confirmed by many engineering practices [38], although the rigorous theoretical analysis is still lacking. The numerous applications have been carried out in the last decade, [20,21] for the disk-beam system, and [12,13,28] for the beam with tip mass system; moreover, the stabilization problems of the wind-turbines subject to varying-frequency periodic load disturbances in [18], torsional plants with sinusoidal uncertainties in [29], Seismically excited building structure in [34], and trajectory tracking problem of a two-degree of freedom helicopter system in [37].…”