A frequency-tunable LPV controller for narrowband active noise and vibration control

A design method for a discrete-time gain scheduling controller for the rejection of a harmonic disturbance with known but time-varying frequency for a single-input single-output linear plant is presented. The controller is obtained through the gain scheduling design method for linear parameter-varying (LPV) systems. This results in a controller where the frequency of the disturbance is the gain-scheduling variable of the controller and closed loop stability is guaranteed for the whole range of frequencies specified in the design. The work is motivated by active noise and vibration control (ANC/AVC), and experimental real time results obtained with an ANC headset and an AVC test bed are presented. The design method is very straightforward and the experimental results show that the controller is well suited for narrowband ANC and AVC.