Wave boundary control method for vibration suppression of large net structures

Large net structures used in engineering can easily get into vibration under external excitations; however, the corresponding vibration control strategy still remains challenging. In this paper, a wave boundary control (WBC) strategy is proposed for the vibration suppression of large net structures. The stability of the controlled structures is confirmed by using inverse Fourier transform, transfer function analysis, and numerical simulation. When WBC controllers are set at all boundaries and excitations come from the boundaries, dynamic responses for all the strings of the net structures can quickly reduce to zero without any residual vibration. The effects of different observations, controls, and distributions of sensors on the control laws are discussed. As an application, a method for reducing the number of controllers for large net structures is finally proposed. The research provides theoretical guidance for vibration control of large net structures.