Analysis and implementation of a multiple-source multiple-channel active vibration control of large structures based on finite element model in-loop simulation system

In the active vibration control of large structures, multiple-channel, i.e., multiple-input and multiple-output (MIMO), control is required, since there are usually multiple vibration sources, the force of actuators are limited and the control objective is usually global. Resulting from the complex dynamic behaviour of large structures, the performance of MIMO control will be dramatically influenced. Thus, the design of controller should base on the structural analysis of the controlled plant. However, the present structural analysis methods for large structure (e.g., finite element method) are separated from the controller design and simulation process. In this paper, we embed the finite element model into the control loop to form a finite element model in-loop simulation (FEMilS) scheme for active vibration control. First, we extend the active noise equalization (ANE) algorithm, a universal narrowband adaptive control algorithm, to MIMO, so that it is able to cope with large structures. Then, the convergence analysis of the MIMO-ANE algorithm is conducted. Afterward, the FEMilS scheme is systematically illustrated. Finally, MIMO-ANE control case studies that considering multiple primary sources are conducted on a variable section cylindrical structure based on FEMilS. The simulations have similar procedure to real-life control and can be easily extended to physical model platform.