On Dead-Time Compensation in Repetitive Control

The note studies the stabilization problem for a SISO continuous-time plant, where the feedback loop contains a fixed infinite-dimensional repetitive element and a “primary controller” to be designed. A novel architecture of the primary controller is proposed, which reduces the stabilization problem to that for a finite-dimensional system. The architecture has a flavor of dead-time compensation, also in the structure of resulting closed-loop systems. In the minimum-phase case, an implementation scheme insensitive to the value of the delay in the repetitive block is proposed.

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