<formula><tex>$H_2$</tex></formula> Output-Feedback Control with Finite Multiple Measurement Information

Choon Ki Ahn; Peng Shi; Hongyi Li

doi:10.1109/TAC.2017.2768165

<formula><tex>$H_2$</tex></formula> Output-Feedback Control with Finite Multiple Measurement Information

Choon Ki Ahn, Peng Shi, Hongyi Li

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

This paper proposes a new <formula><tex>$H_2$</tex></formula> output feedback control with finite multiple measurement information for discrete-time systems with disturbances. This control is called an <formula><tex>$H_2$</tex></formula> finite multiple measurement output feedback control (H2FMMOFC). The new control ascertains the <formula><tex>$H_2$</tex></formula> performance for disturbances and the equivalence to the <formula><tex>$H_2$</tex></formula> 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 <formula><tex>$H_2$</tex></formula> performance as well as the excellent robustness property against unexpected temporary model uncertainty although the uncertainty is not considered in its design.

Original language	English
Journal	IEEE Transactions on Automatic Control
DOIs	https://doi.org/10.1109/TAC.2017.2768165
Publication status	Accepted/In press - 2017 Nov 1

Keywords

finite measurement
H2 output-feedback control
model uncertainty
robustness

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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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.",

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