Output Regulation of Constrained Linear Systems by Data-Driven Output Feedback Control

The constrained output regulation problem for unknown linear discrete-time systems is solved in this work. This is achieved by first deriving sufficient conditions for the existence of regulator equation solution pairs, followed by the creation of a data-driven technique to obtain these solutions. Subsequently, a constrained observer is designed to provide precise state estimation while guaranteeing that the observer error confined within a predefined set. Finally, leveraging linear programming, we develop a data-driven output feedback controller that achieves reference tracking, enforces state and input constraints, and operates without explicit knowledge of the system dynamics.