This paper formulates and analyzes a robust tracking problem for sampled data repetitive control systems in the presence of structured linear periodically time varying perturbations. Two pertinent issues are addressed. One is stability robustness, that is, if stability will be retained under such perturbations. The other is robust tracking, that is, if the tracking criterion will be met for all
... [Show full abstract] variations of the plant under the given class of perturbations. The tracking measure is taken to be the induced power-norm, which is defined as the power of the steady-state tracking error for the worst periodic input of unit power, and the tracking criterion is that only induced power-norms which are less than a prespecified bound are acceptable. A generalized notion of structured singular value, previously introduced in the literature. is used to answer these questions in the form of some necessary and sufficient conditions.