A Complete and Simple Parametrization of Controllers for a Nonstandard H∞ Control Problem

Tsutomu Mita; Jeremy B. Matson; Brian D.O. Anderson

doi:10.1016/S0005-1098(97)00207-0

A Complete and Simple Parametrization of Controllers for a Nonstandard H_∞ Control Problem

Tsutomu Mita^*, Jeremy B. Matson, Brian D.O. Anderson

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

A complete and simple parametrization of all H_∞ controllers is derived for a class of nonstandard H_∞ control problems with D₁₂ and D₂₁ being of full row and column ranks, respectively, by making use of the Youla parametrization and standard H_∞ control theory.

Original language	English
Pages (from-to)	369-374
Journal	Automatica
Volume	34
Issue number	3
DOIs	https://doi.org/10.1016/S0005-1098(97)00207-0
Publication status	Published - 1998

Access to Document

10.1016/S0005-1098(97)00207-0

Cite this

@article{310fd52b63404e2cbed64bf21b3b463a,

title = "A Complete and Simple Parametrization of Controllers for a Nonstandard H∞ Control Problem",

abstract = "A complete and simple parametrization of all H∞ controllers is derived for a class of nonstandard H∞ control problems with D12 and D21 being of full row and column ranks, respectively, by making use of the Youla parametrization and standard H∞ control theory.",

keywords = "Nonstandard H control problem, Parametrization of H controllers, Redundant inputs and outputs, Riccati equation, Zeros",

author = "Tsutomu Mita and Matson, \{Jeremy B.\} and Anderson, \{Brian D.O.\}",

year = "1998",

doi = "10.1016/S0005-1098(97)00207-0",

language = "English",

volume = "34",

pages = "369--374",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd.",

number = "3",

}

TY - JOUR

T1 - A Complete and Simple Parametrization of Controllers for a Nonstandard H∞ Control Problem

AU - Mita, Tsutomu

AU - Matson, Jeremy B.

AU - Anderson, Brian D.O.

PY - 1998

Y1 - 1998

N2 - A complete and simple parametrization of all H∞ controllers is derived for a class of nonstandard H∞ control problems with D12 and D21 being of full row and column ranks, respectively, by making use of the Youla parametrization and standard H∞ control theory.

AB - A complete and simple parametrization of all H∞ controllers is derived for a class of nonstandard H∞ control problems with D12 and D21 being of full row and column ranks, respectively, by making use of the Youla parametrization and standard H∞ control theory.

KW - Nonstandard H control problem

KW - Parametrization of H controllers

KW - Redundant inputs and outputs

KW - Riccati equation

KW - Zeros

UR - https://www.scopus.com/pages/publications/0032024332

U2 - 10.1016/S0005-1098(97)00207-0

DO - 10.1016/S0005-1098(97)00207-0

M3 - Article

SN - 0005-1098

VL - 34

SP - 369

EP - 374

JO - Automatica

JF - Automatica

IS - 3

ER -

A Complete and Simple Parametrization of Controllers for a Nonstandard H_∞ Control Problem

Abstract

Access to Document

Other files and links

Fingerprint

Cite this