Fuzzy finite-time stable compensation control for a building structural vibration system with actuator failures

Abstract

This paper investigates finite-time stability vibration control for a building structure system in the presence of actuator failure. The dynamic compensation approach for seismic waves improves the control performance by considering such waves as an unknown nonlinear item in the system. In the control design, this item is approximated via the adaptive fuzzy control method. In addition, it is considered that actuators can fail and therefore lessen, the effectiveness of the suppression of building structure vibration. An adaptive failure compensation method is proposed to address this problem. Moreover, to rapidly suppress vibration, a finite-time active vibration controller is designed in combination with a failure compensation method. Under the proposed control strategy, the building structure system with uncertain actuator failures can be guaranteed to be stable in finite time. Finally, examples of different failure cases are presented to demonstrate the anti-seismic effectiveness of the proposed method.