LPV gain-scheduling control with time-varying sampling time for rejecting nonstationary harmonically related multisine disturbances

A method to design linear parameter-varying (LPV) controllers with time-varying sampling time to reject nonstationary harmonically related multisine disturbances is presented in this work. Unlike common approaches, the design considers the disturbance as a time-invariant model while the plant is an LPV system with sampling time as the scheduling parameter in linear fractional transformation (LFT) form. Only one scheduling parameter is used for this approach, independently of the number of frequencies. Good disturbance rejection is achieved by simulation.