Rejection and tracking sinusoidal signals based on state-derivative feedback

This article investigates the control problem of rejection and tracking unknown sinusoidal signals for linear timeinvariant systems. The derived controller is in terms of state-derivative feedback since the derivative of the state rather than the state can be directly measured in some cases. Meanwhile, in order to reject and track the unknown sinusoidal signals simultaneously, we identify their models, i.e., the amplitudes, the frequencies and the phases, and then utilize them for the controller design. Finally, numerical simulations are given to illustrate the effectiveness of the proposed method.