ABSTRACT
Vibration control problem of structural systems considering uncertainties from both the model and the excitation is addressed using a reliability-based design methodology in this chapter. The control design objective is to achieve the optimal reliability of the structure or equivalently the least failure probability by the controller for the event involving important response quantities of the structure. Structural reliability is of great interest to structural engineers, the concept of reliability-based design to vibration control can be easily adopted in the field of civil engineering. The control performance is treated with a probabilistic perspective, which is now a common approach in dealing with uncertainties. Obtaining the probable robust performance of the control system adds an “extra dimension” to the robust analysis of uncertain systems. The first-passage problem is selected as the control performance for design. The reliability-based controller and performance analysis can be updated in conjunction with the Bayesian system identification techniques.
