H-2 Output-Feedback Control With Finite Multiple Measurement Information

Abstract

This paper proposes a new H-2 output-feedback control with finite multiple measurement information for discrete-time systems with disturbances. This control is called an H-2 finite multiple measurement output-feedback control (H2FMMOFC). The new control ascertains the H-2 performance for disturbances and the equivalence to the H-2 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 H-2 performance as well as the excellent robustness property against unexpected temporary model uncertainty although the uncertainty is not considered in its design.