Development of a predictive functional control approach for steel building structure under earthquake excitations

Model Predictive Control (MPC) is an advanced control approach that uses the current states of the system model to predict its future behavior. In this article, according to the seismic dynamics of structural systems, the Predictive Functional Control (PFC) method is used to solve the control problem. Although conventional PFC is an efficient control method, its performance may be impaired due to problems such as uncertainty in the structure of state sensors and process equations, as well as actuator saturation. Therefore, it requires the utilization of appropriate estimation algorithms in order to accurately evaluate responses and implement actuator saturation. Accordingly, an extended PFC is presented based on the H-ifinity (H infinity) filter (HPFC) while considering simultaneously the saturation actuator. Accordingly, an extended PFC is presented based on the Hifinity (H infinity) filter (HPFC) while considering the saturation actuator. Thus, the structural responses are formulated by two estimation models using the H infinity filter. First, the H infinity filter estimates responses using a performance bound (theta). Second, the H infinity filter is converted into a Kalman filter in a special case by considering the theta equal to zero. Therefore, the scheme based on the Kalman filter (KPFC) is considered a comparative model. The proposed method is evaluated through numerical studies on a building equipped with an Active Tuned Mass Damper (ATMD) under near and far-field earthquakes. Finally, HPFC is compared with classical (CPFC) and comparative (KPFC) schemes. The results show that HPFC has an acceptable efficiency in boosting the accuracy of CPFC and KPFC approaches under earthquakes, as well as maintaining a descending trend in structural responses.