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On the Comparison and Evaluation of Some Basic Regulator Design Methods

All existing basic regulator design methods are summarized in this paper and compared concerning their usability and formal algebraic formulations. First the regulators based on state-feedback is discussed. These regulators mostly use pole placement, sometimes with full pole cancellation. The other versions are based on characteristic polynomial design, which is a feedback regulator design method. Another class of the regulators are based on the Youla-parameterization, which is sometimes called Q-parameterization. Then it is shortly summarized how a Youla regulator is computed. Finally it is systematically proved that the best usable method is the Youla-parameterization based regulator design introduced by the authors.