Abstract
This paper deals with a new repetitive control problem for the cases where both the multiple periods of periodic disturbance to be rejected are uncertainty and the plant has a norm bounded uncertainty. A new period estimator is proposed to estimate on-line both the periods and the plant parameters, and a new adaptive repetitive control system is presented to reject any multiple periodic disturbances even if both the periods and the plant parameters are uncertain. The stabilization problem of the overall adaptive system is reduced to a simple and feasible l_I-norm minimization problem. The controller can be obtained easily by solving a simple linear programming problem. Simulations show the effectiveness of the proposed controller for rejection of multiple periodic disturbances.
