The Linear Periodic Output Regulation Problem

@article{Zhang2005TheLP,
  title={The Linear Periodic Output Regulation Problem},
  author={Zhen Zhang and Andrea Serrani},
  journal={Proceedings of the 44th IEEE Conference on Decision and Control},
  year={2005},
  pages={3327-3332}
}
The problem of asymptotic output regulation for linear systems driven by time-varying, T-periodic exosystems is considered in this paper. Necessary and sufficient condition for its solvability based on the existence of periodic solutions of differential Sylvester equations are derived. These conditions constitute a generalization to the periodic case of the celebrated algebraic regulator equations of Francis. A general algorithm for the synthesis of an error-feedback regulator is given. For the… CONTINUE READING
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