Vision-aided nonlinear control framework for shake table tests

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.Comment: 10 pages, 7 figures, accepted in the Canadian Conference - Pacific Conference on Earthquake Engineering 2023, Vancouver, British Columbi

Tracking, Parameter Identification, and Convergence Rates for Model Reference Adaptive Control

We prove tracking, parameter identification, and rate of convergence results for a class of partially linear systems from model reference adaptive control, in which the parameters that we identify are the entries of the unknown weight and control effectiveness matrices. We provide easily checked sufficient conditions for our persistency of excitation condition to hold. Our example illustrates the usefulness of our adaptive controller