Design of data-driven lumped parameter canonical controller for distributed parameter system with its performance analysis

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In this study, the data-driven controller design for the achievement of a given specification has been addressed. As one of the important results obtained here, we have shown that fictitious reference iterative tuning (which is abbreviated as FRIT) corresponds to the canonical controller which was studied by A.J. van der Schaft as the ideal controller to achieve a given specification. We have also obtained some useful results on FRIT from both of the practical and theoretical points of view. In addition, we have also developed FRIT for time-delay systems, which are deeply related to distributed parameter systems, or are often regarded as one subclass of distributed parameter systems. Moreover, we have also discussed improvement of desired tracking property with FRIT for one-dimensional heat conduction system as one of the distributed parameter systems.