Bang-bang Type Semi-active Control of Civil Structures: A Prediction-based Approach

Abstract

We propose a semi-active control of civil structures based on a one-step-ahead prediction of the seismic response. The vibration control device (VCD), which has been developed by authors, generates two types of resistance forces, i.e., a damping force proportional to the relative velocity and an inertial force proportional to the relative acceleration between two stories. The damping coefficient of the VCD can be changed with a command signal to an electric circuit connected to the VCD. In the present paper the command signal for changing the damping coefficient of each VCD is assumed to take two values, i.e., the command to take the maximum or minimum damping coefficient. The optimal command signal is selected from all candidates of command signals so that the Euclidean norm of the one-step-ahead predicted seismic response, calculated by a numerical integration, is minimized. As an example a semi-active control of a fifteen-story building with three VCDs is considered. The simulation results show that the proposed semi-active control achieves superior performance on vibration suppression compared with a passive control case where the damping coefficient of each VCD is fixed at its maximum value.

Seismic response control using electromagnetic inertial mass dampers

“…This paper presents an electromagnetic inertial mass damper (EIMD) that combines an electromagnetic damper and an IMD into one device [14][15][16][17][18][19][20]. Electromagnetic dampers have been developed for automobile suspensions [21] and a damping device for a structure [22].…”

Simultaneous optimal design of the structural model for the semi-active control design and the model-based semi-active control

“…In the premise of the predictive semi‐active control law , design parameters in the model for the control system design and the semi‐active control law are simultaneously optimized with the GA. With the simulation study, the semi‐active control system obtained with the present methodology is shown to achieve the better control performance compared with not only the NC and Pon cases but also two semi‐active control cases where the detailed dynamic characteristics of the structural system is exactly known.…”

“…With the energy dissipative property that is inherent in general semi-active control systems, the simultaneous optimal design problem of the model for the control system design and the model-based semi-active control law is formulated without the stability constraint of the control system. In the premise of the predictive semi-active control law [9], design parameters in the model for the control system design and the semi-active control law are simultaneously optimized with the GA. With the simulation study, the semi-active control system obtained with the present methodology is shown to achieve the better control performance compared with not only the NC and Pon cases but also two semi-active control cases where the detailed dynamic characteristics of the structural system is exactly known.…”

“…In the present study, the semi‐active control law based on the prediction of the structural response is adopted. The prediction of the structural response is carried out for the model for the control system design in Equations and with the current measurement data of the structural response and the earthquake disturbance.…”

“…Various types of vibration control methodologies for civil structures, for example, passive, active [1], and semi-active control [2][3][4][5][6][7][8][9][10], have been proposed so far to suppress the excessive structural response for large earthquake disturbances. Among the aforementioned three methodologies, the active vibration control method can be regarded as the best one in the sense of the achievable performance on vibration suppression.…”