A New Passive Repetitive Controller For Discrete-Time Finite-Frequency Positive-Real Systems

This work proposes a new repetitive controller for discrete-time finite-frequency positive-real systems which are required to track periodic references or to attenuate periodic disturbances. The main characteristic of the proposed controller is its passivity. This fact implies closed-loop stable behavior when it is used with discrete-time passive plants, but additional conditions must be fulfilled when it is used with a discrete-time finite-frequency positive-real plant. These conditions are analyzed and a design procedure is proposed