Abstract
A study of active vibration control of axially moving string‐like system is presented in this paper. The approach is based on the concept of wave absorption or impedance matching through placement of both sensors and actuators in domain. A classical model‐matching framework for disturbance rejection is used to solve the control laws. For SISO cases, perfect wave absorption can be achieved if one of the boundary conditions is known. Further, by moving both the sensor and actuator to the boundary, the in‐domain control laws become the boundary controllers derived by previous researchers. To avoid the requirement of knowing the boundary condition precisely, a two‐sensor control law is then proposed. The resulting controller, though boundary independent, contains an infinite number of poles on the imaginary axis, and the closed‐loop system is not internally stable. A simple “notch filter” is added to the control law, and the stability of as well as deterioration in performance are analyzed. Numerical results for a moving string system under external excitation are presented to demonstrate the effectiveness of this controller.
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