On a Design Method of Sampled-Data Delayed Feedback Controller via Interpolation

Abstract

A design problem of delayed feedback controllers in the sampled-data system configuration is considered. Instead of indirect methods via the plant augmentation, we impose certain interpolation conditions on the free parameter of the stabilizing controller parametrization to embed the desired structure into the controller directly. Since the underlying stabilization problem to be solved is independent of the length of the delay, the proposed method avoids a computational burden when the ratio of the periods of the target orbit to the sampling becomes larger.