FEEDFORWARD AND FEEDBACK CONTROL OF SOUND AND VIBRATION—A WIENER FILTER APPROACH

This paper considers the active control of stationary random disturbances in single-input–single-output vibrating and acoustical systems. Both feedforward and feedback control are studied using a deterministic approach, where white noise is replaced by an impulse so that the active control of a stationary random disturbance is transformed to the active control of an impulse response. A theoretical framework using the Wiener filter to study both systems is described where internal model control is used to convert a feedback system into feedforward architecture. The effects of the constraint of causality on the performances of feedforward and feedback control of random disturbances are discussed using two simple examples; a minimum phase single-degree-of-freedom vibrating system and a non-minimum phase acoustical system.