H₂ output-feedback control with finite multiple measurement information

Abstract

IEEE This paper proposes a new H₂ output feedback control with finite multiple measurement information for discrete-time systems with disturbances. This control is called an H₂ finite multiple measurement output feedback control (H2FMMOFC). The new control ascertains the H₂ performance for disturbances and the equivalence to the H₂ state feedback control without disturbances on a finite measurement horizon. The boundedness and exponential stability of the proposed H2FMMOFC are also investigated. The gain matrices of the H2FMMOFC are obtained by solving a convex problem utilizing the linear matrix inequality tool. Via a numerical example, the H2FMMOFC is shown to ensure the H₂ performance as well as the excellent robustness property against unexpected temporary model uncertainty although the uncertainty is not considered in its design.