Damping Control for Systems with Sinusoidal Disturbances Based on Internal Model Principle

This paper is concerned with the damping control problem for linear systems with sinusoidal disturbances. For the linear systems with sinusoidal disturbances, a state feedback control algorithm with second-order dynamic characteristics is proposed. The dynamic feedback control law is constructed in two parts. First using the internal model principle, the mode of the sinusoidal disturbance is embedded in the controller such that the disturbances rejected to zero steady-state error. Then by designing parameters of the controller, the poles of the closed-loop system can be arbitrarily assigned, so that the exponential asymptotic stability of the closed-loop system is guaranteed. Numerical simulation examples show the effectiveness of the control strategy.