A Co-Optimization Method of Actuators/Sensors Placement and LQG Controller for Vibration Suppression

In the manufacturing industry, the high acceleration demands lead to the lightweight designs of the stages, while it may cause undesirable vibrations. In order to obtain the most efficient vibration suppression performance, this paper proposes a co-optimization method to realize the simultaneous optimization of the Actuators and Sensors (AS) placement and the controller parameters. The co-optimization method includes an inner cycle for minimizing the control energy by a Linear Quadratic Gaussian (LQG) controller, and an outer cycle for optimizing the closed-loop 1-norm is constructed as the criteria for the outer optimization cycle. Besides, the Dynamic Opposite Learning Enhanced Teaching–Learning-Based Optimization (DOLTLBO) algorithm is applied to enhance the searching ability. Numerical experiments on a lightweight stage were performed to validate the co-optimization method. The results reveal that the new method has a strong ability in optimizing the AS placement and the controller parameters, and can finally guarantee superior performances for vibration suppression.