Simulation study of using a cascade of all-pass filters in active vibration control of mechanical structures

The problem of active vibration control of weakly damped mechanical structures is potentially unstable modes of vibrations due to the positive feedback for some vibration modes. The paper will discuss the change of positive feedback on the negative one using all-pass discrete-time filters which are arranged in a cascade. The piezoelectric actuator as a source of force is used to damp vibration. It is well known that this actuator type has hysteresis that must be taken during simulation into account. As a test structure is selected a cantilever beam.