LMI-BASED H∞ CONTROL OF A FULL-SCALE BUILDING WITHACTIVE BRACING SYSTEM

摘要

Recently, more and more experimental studies indicate that a mature active control designrntoward practical implementation requires the consideration of robustness requirements in therndesign process, which includes the performance robustness on reducing the tracking error and inrnresistance to the external disturbance and measurement noise, and the stability robustness withrnrespect to system uncertainty. The H∞ control method, among all advanced control strategies,rnprovides a fine approach to take these robustness requirements into account for the robustrncontroller design. In this paper, an efficient solution procedure of H∞ dynamic output feedbackrncontroller for the control of civil structures based on solving a set of linear matrix inequalitiesrn(LMI), the so-called LMI-based robust H∞ control, is introduced. For verifying its applicability,rnextensive numerical simulations under the excitations of the 1940 NS El Centro and 1995 Kobernearthquakes were conducted on a full-scale three-story seismic-excited building model equippedrnwith an active bracing system. In the simulation, the system uncertainty is assumed in therncontroller design and the employment of acceleration feedback is emphasized for practicalrnconsideration. Through the LMI-based solution procedure, the efficiency of H∞ controllerrndesign is approved. From the simulation results, it is demonstrated that the performance of thernH∞ controllers presented is remarkable and robust, and therefore it is suitable for application torncivil engineering buildings for aseismic protection.