  The structural response under the earthquake excitations can be simulated by
scaled-down model shake table tests or full-scale model shake table tests. In
this paper, adaptive control theory is used as a nonlinear shake table control
algorithm which considers the inherent nonlinearity of the shake table system
and the Control-Structural Interaction (CSI) effect that the linear controller
cannot consider, such as the Proportional-Integral-Derivative (PID) controller.
The mass of the specimen can be assumed as an unknown variation and the unknown
parameter will be replaced by an estimated value in the proposed control
framework. The signal generated by the control law of the adaptive control
method will be implemented by a loop-shaping controller. To verify the
stability and feasibility of the proposed control framework, a simulation of a
bare shake table and experiments with a bare shake table with a two-story frame
were carried out. This study randomly selects Earthquake recordings from the
Pacific Earthquake Engineering Research Center (PEER) database. The simulation
and experimental results show that the proposed control framework can be
effectively used in shake table control.
