### 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 |
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Journal | IEEE Transactions on Automatic Control |

DOIs | |

Publication status | Accepted/In press - 2017 Nov 1 |

### Fingerprint

### 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

### Cite this

**<formula><tex>$H_2$</tex></formula> Output-Feedback Control with Finite Multiple Measurement Information.** / Ahn, Choon Ki; Shi, Peng; Li, Hongyi.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - $H_2$ Output-Feedback Control with Finite Multiple Measurement Information

AU - Ahn, Choon Ki

AU - Shi, Peng

AU - Li, Hongyi

PY - 2017/11/1

Y1 - 2017/11/1

N2 - 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.

AB - 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.

KW - finite measurement

KW - H2 output-feedback control

KW - model uncertainty

KW - robustness

UR - http://www.scopus.com/inward/record.url?scp=85032786329&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85032786329&partnerID=8YFLogxK

U2 - 10.1109/TAC.2017.2768165

DO - 10.1109/TAC.2017.2768165

M3 - Article

AN - SCOPUS:85032786329

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

ER -