Data-Driven Koopman Controller Synthesis Based on the Extended <i>H</i>₂ Norm Characterization

This paper presents a new data-driven controller synthesis based on the Koopman operator and extended $\mathcal{H}_2$ norm characterization of discrete-time linear systems. We model dynamical systems as polytope sets which are derived from multiple models obtained by finite approximation then used to design robust feedback controllers combined with characterization. The use is aimed deal uncertainty that arises due nature setting problem. effectiveness proposed investigated through numerical simulations.