A discrete-time MIMO LPV controller for the rejection of nonstationary harmonically related multisine disturbances

This paper is an extension of the previous work realized by the authors. Here a discrete-time multiple input multiple output (MIMO) linear parameter-varying (LPV) controller is designed, a polynomial approximation for disturbances with harmonically related frequencies to reduce the number of gain-scheduling parameters is used and the controller is validated experimentally for the rejection of the engine-induced vibrations in a vehicle. Excellent results are achieved in a Golf VI Variant for the rejection of disturbances with nine time-varying frequency components with a controller interpolated from three vertices using only two gain-scheduling parameters. The stability of the controller is guaranteed for changes in the gain-scheduling parameters since LPV control design techniques are used.