\( \mathcal{H}_2\) control of Markovian jump systems with input saturation and incomplete knowledge of transition probabilities
Summary: This paper proposes an \(\operatorname{\mathcal{H}}_2\) state-feedback controller for Markovian jump systems with input saturation and incomplete knowledge of transition probabilities. The proposed controller is developed using second-order matrix polynomials of an incomplete transition rate to derive less conservative stabilization conditions. The proposed controller not only guarantees \(\operatorname{\mathcal{H}}_2\) performance but also rejects matched disturbances. The effectiveness of the proposed method is demonstrated using three numerical examples.
scientific article; zbMATH DE number 7290108
scientific article