Abstract
This paper investigates the active vibration control for seismic excited building structures in presenting of actuator saturation, stochastic measurement noise and quantisation. The active vibration controllers are placed in some storeys, meanwhile, some active tuned mass dampers (ATMDs) are also installed at the top floor and oscillating under their control forces. All of the control forces are generated by actuators which are only capable of providing limited outputs. Since the system states are difficult or barely impossible to be accurately measured, an observer based control law is proposed to guarantee system stability, meanwhile, an H2/H∞ index is employed for further improving the control performance. By the proposed control strategy, the mean square exponentially stability of close-looped system can be guaranteed almost surely while the desired H2/H∞ performance can be achieved simultaneously. In addition, the convergence rate of system state can be pre-scheduled. By regulating the different locations of sensors and controllers, the vibration response can be mitigated in different level. Numerical examples are provided to demonstrate the effectiveness of the proposed method.
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