Asymptotic H∞ disturbance attenuation based on perfect observation

Masayuki Fujita; Kenko Uchida; Kenko Uchida

doi:10.1109/9.85070

Asymptotic H^∞ disturbance attenuation based on perfect observation

Masayuki Fujita, Kenko Uchida, Kenko Uchida

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

7 Citations (Scopus)

Abstract

A design method of controllers which ensure internal stability and attain asymptotically H^∞ disturbance attenuation is presented. The design procedure consists of two steps: (1) to design an H^∞ state feedback control via an algebraic Riccati equation approach; and (2) under a certain minimum-phase condition, to recover the achievable performance asymptotically by applying high-gain observers. It makes use of the perfect observation for the design of high-gain observers. It is shown that the asymptotic recovery can be attained by using reduced-order observers, provided there is no direct feedthrough of controls and disturbances in observations.

Original language	English
Pages (from-to)	875-880
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	36
Issue number	7
DOIs	https://doi.org/10.1109/9.85070
Publication status	Published - 1991 Jul

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

Access to Document

10.1109/9.85070

Fingerprint Dive into the research topics of 'Asymptotic H<sup>∞</sup> disturbance attenuation based on perfect observation'. Together they form a unique fingerprint.

Cite this

@article{944e7d1317a44b7b84b5cdae377bb726,

title = "Asymptotic H∞ disturbance attenuation based on perfect observation",

abstract = "A design method of controllers which ensure internal stability and attain asymptotically H∞ disturbance attenuation is presented. The design procedure consists of two steps: (1) to design an H∞ state feedback control via an algebraic Riccati equation approach; and (2) under a certain minimum-phase condition, to recover the achievable performance asymptotically by applying high-gain observers. It makes use of the perfect observation for the design of high-gain observers. It is shown that the asymptotic recovery can be attained by using reduced-order observers, provided there is no direct feedthrough of controls and disturbances in observations.",

author = "Masayuki Fujita and Kenko Uchida and Kenko Uchida",

year = "1991",

month = jul,

doi = "10.1109/9.85070",

language = "English",

volume = "36",

pages = "875--880",

journal = "IRE Transactions on Automatic Control",

issn = "0018-9286",

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

number = "7",

}

TY - JOUR

T1 - Asymptotic H∞ disturbance attenuation based on perfect observation

AU - Fujita, Masayuki

AU - Uchida, Kenko

PY - 1991/7

Y1 - 1991/7

N2 - A design method of controllers which ensure internal stability and attain asymptotically H∞ disturbance attenuation is presented. The design procedure consists of two steps: (1) to design an H∞ state feedback control via an algebraic Riccati equation approach; and (2) under a certain minimum-phase condition, to recover the achievable performance asymptotically by applying high-gain observers. It makes use of the perfect observation for the design of high-gain observers. It is shown that the asymptotic recovery can be attained by using reduced-order observers, provided there is no direct feedthrough of controls and disturbances in observations.

AB - A design method of controllers which ensure internal stability and attain asymptotically H∞ disturbance attenuation is presented. The design procedure consists of two steps: (1) to design an H∞ state feedback control via an algebraic Riccati equation approach; and (2) under a certain minimum-phase condition, to recover the achievable performance asymptotically by applying high-gain observers. It makes use of the perfect observation for the design of high-gain observers. It is shown that the asymptotic recovery can be attained by using reduced-order observers, provided there is no direct feedthrough of controls and disturbances in observations.

UR - http://www.scopus.com/inward/record.url?scp=0026190842&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026190842&partnerID=8YFLogxK

U2 - 10.1109/9.85070

DO - 10.1109/9.85070

M3 - Article

AN - SCOPUS:0026190842

VL - 36

SP - 875

EP - 880

JO - IRE Transactions on Automatic Control

JF - IRE Transactions on Automatic Control

SN - 0018-9286

IS - 7