An Informativity Approach to the Data-Driven Algebraic Regulator Problem

In this article, the classical algebraic regulator problem is studied in a data-driven context. The endosystem assumed to be an unknown system that interconnected known exosystem generates disturbances and reference signals. design so output of (unknown) tracks signal, regardless its initial state incoming disturbances. order do this, we assume have set input-state data on finite time-interval. We introduce notion informativity for design, establish necessary sufficient conditions given informative. Also, formulas suitable regulators are terms data. Our results illustrated by means two extended examples.