Design of Linear Absorbing Feedback

Abstract

This paper considers dynamic vibration absorbers using the theory of linear control. We introduce an axiomatic definition of absorbing feedback. Next, we establish frequency domain stability criteria for the control systems with absorbing feedback by constructing a Lyapunov function and employing the Kalman–Yacubovich–Popov lemma. Finally, we demonstrate that linear absorbing feedback can be applied to suppress the vibrations of an ellastic plate with synchronous machines and induction motors and also to design ultranarrow bandpass filters.