Active Vibration Control of String by Displacement Actuator, Displacement Sensors, and Position-Input Position-Output Controller

Strings are commonly used in engineering structures but are highly susceptible to vibrations due to their low structural stiffness and damping. Suppressing these vibrations poses a significant challenge, as existing tools and technologies are limited. This study investigates the active control of string vibrations through manipulation at one end. To achieve this, a displacement actuator and displacement sensors are considered. Based on the characteristics of actuator and sensor, a multi-modal position-input position-output control algorithm is proposed. Both theoretical analysis and experimental results demonstrate that the proposed control method effectively suppresses multi-mode string vibrations.