Model reference adaptive hierarchical control framework for shake table tests

Abstract The structural response under earthquake excitation can be simulated by shake table tests. However, the performance of the shake table is affected by the Control‐Structure Interaction (CSI) effect. In recent years, nonlinear control algorithms were developed to compensate for the CSI effect. In this study, a model reference adaptive control algorithm, named model reference adaptive hierarchical control (MRAHC) framework, is presented. MRAHC consists of a high (adaptive) and low (loop‐shaping) level controller. The high‐level (adaptive) controller develops the control algorithm on the system level, which directedly considers the inherent nonlinearity of the test specimen and the CSI effect. While the low‐level (loop‐shaping) controller develops the control algorithm to regulate the hydraulic system and make sure it can follow the reference signal generated by the high‐level (adaptive) controller. MRAHC offers many advantages including direct compensation to the structural nonlinearity and the ability to handle the CSI effect. In addition, it allows users to quantify the mass of the test specimens without measurement. To evaluate the performance of the MRAHC method, shake table tests with different upper structure masses were carried out. The performance of the MRAHC was compared with the direct loop‐shaping control method (LC) and the Proportional‐Integral‐Differentiation control method (PID). The results show that the MRAHC can achieve better acceleration tracking compared to the LC and PID control methods. Hence, the MRAHC can be used as an effective nonlinear controller for shake table tests.