H2 output-feedback control with finite multiple measurement information

Choon Ki Ahn; Peng Shi; Hongyi Li

doi:10.1109/TAC.2017.2768165

H₂ output-feedback control with finite multiple measurement information

Choon Ki Ahn, Peng Shi, Hongyi Li

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

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2588-2595
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	63
Issue number	8
DOIs	https://doi.org/10.1109/TAC.2017.2768165
Publication status	Published - 2018 Aug

Keywords

Finite measurement
H output-feedback control (HOFC)
model uncertainty
robustness

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Access to Document

10.1109/TAC.2017.2768165

Cite this

@article{4726e26bec534a67bd447141872893da,

title = "H2 output-feedback control with finite multiple measurement information",

abstract = "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.",

keywords = "Finite measurement, H output-feedback control (HOFC), model uncertainty, robustness",

author = "Ahn, {Choon Ki} and Peng Shi and Hongyi Li",

note = "Funding Information: Manuscript received May 22, 2017; accepted October 19, 2017. Date of publication November 2, 2017; date of current version July 26, 2018. This work was supported in part by National Research Foundation of Korea funded by the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325, in part by the Brain Korea 21 Plus Project in 2018, in part by the National Nature Science Foundation of China under Grant 61773131 and Grant U1509217, in part by Australian Research Council under Grant DP170102644, in part by 111 Project under Grant B17048, and in part by the National Natural Science Foundation of China under Grant 61622302 and Grant 61573070. Recommended by Associate Editor Laura Menini. (Corresponding authors: Choon Ki Ahn and Hongyi Li.) C. K. Ahn is with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail: hironaka@korea.ac.kr). Publisher Copyright: {\textcopyright} 1963-2012 IEEE.",

year = "2018",

month = aug,

doi = "10.1109/TAC.2017.2768165",

language = "English",

volume = "63",

pages = "2588--2595",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "8",

}

TY - JOUR

T1 - H2 output-feedback control with finite multiple measurement information

AU - Ahn, Choon Ki

AU - Shi, Peng

AU - Li, Hongyi

N1 - Funding Information: Manuscript received May 22, 2017; accepted October 19, 2017. Date of publication November 2, 2017; date of current version July 26, 2018. This work was supported in part by National Research Foundation of Korea funded by the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325, in part by the Brain Korea 21 Plus Project in 2018, in part by the National Nature Science Foundation of China under Grant 61773131 and Grant U1509217, in part by Australian Research Council under Grant DP170102644, in part by 111 Project under Grant B17048, and in part by the National Natural Science Foundation of China under Grant 61622302 and Grant 61573070. Recommended by Associate Editor Laura Menini. (Corresponding authors: Choon Ki Ahn and Hongyi Li.) C. K. Ahn is with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail: hironaka@korea.ac.kr). Publisher Copyright: © 1963-2012 IEEE.

PY - 2018/8

Y1 - 2018/8

N2 - 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.

AB - 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.

KW - Finite measurement

KW - H output-feedback control (HOFC)

KW - model uncertainty

KW - robustness

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

U2 - 10.1109/TAC.2017.2768165

DO - 10.1109/TAC.2017.2768165

M3 - Article

AN - SCOPUS:85032786329

SN - 0018-9286

VL - 63

SP - 2588

EP - 2595

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 8

ER -