H₂ output-feedback control with finite multiple measurement information

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2018

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Ahn, C.
Shi, P.
Li, H.

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Journal article

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IEEE Transactions on Automatic Control, 2018; 63(8):2588-2595

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Choon Ki Ahn, Peng Shi, Hongyi Li

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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.

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© 2017 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.

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