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

Choon Ki Ahn, Peng Shi, Hongyi Li

Research output: Contribution to journalArticle

3 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 languageEnglish
JournalIEEE Transactions on Automatic Control
DOIs
Publication statusAccepted/In press - 2017 Nov 1

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Feedback control
Asymptotic stability
Linear matrix inequalities
State feedback
Uncertainty

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

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