Research on Active Vibration Control of the Plate Based on Modal Space Control

In this study, we have devised an innovative strategy for active vibration control in plates by harnessing modal space control techniques. Our methodology encompasses the creation of a dynamic model to capture the plate's vibrational dynamics and subsequent simulation of its behavior. Building upon this, we have established a streamlined state-space representation, thereby simplifying the integration of control methodologies. To further optimize the control system's performance, we have meticulously optimized the placement of actuators and sensors. The culmination of our efforts is reflected in compelling numerical findings, underscoring the efficacy of our proposed active vibration control system. Notably, our system exhibits a remarkable ability to effectively curtail vibration displacement in the plate, reinforcing its potential impact in practical applications.