Optimal H∞ general distance problem with degree constraint

Davut Kavranogtlu; Maamar Bettayeb

doi:10.1002/rnc.4590040205

Optimal H_∞ general distance problem with degree constraint

Davut Kavranogtlu^*, Maamar Bettayeb

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

3 Scopus citations

Abstract

In this paper the optimal H_∞, general distance problem, for continuous‐time systems, with a prescribed degree on the solution is studied. The approach is based on designing the Hankel singular values using an imbedding idea. The problem is first imbedded into another problem with desirable characteristics on the Hankel singular values, then the solution to the original problem is retracted via a compression. The result is applicable to both the one‐block and the four‐block problems. A special case is given for illustration.

Original language	English
Pages (from-to)	289-299
Number of pages	11
Journal	International Journal of Robust and Nonlinear Control
Volume	4
Issue number	2
DOIs	https://doi.org/10.1002/rnc.4590040205
State	Published - 1994

Keywords

All‐pass imbedding
Degree constraint
General distance problem
Hankel singular values

ASJC Scopus subject areas

Control and Systems Engineering
General Chemical Engineering
Biomedical Engineering
Aerospace Engineering
Mechanical Engineering
Industrial and Manufacturing Engineering
Electrical and Electronic Engineering

Access to Document

10.1002/rnc.4590040205

Cite this

@article{aa20657b28e142de80f88e497491b877,

title = "Optimal H∞ general distance problem with degree constraint",

abstract = "In this paper the optimal H∞, general distance problem, for continuous‐time systems, with a prescribed degree on the solution is studied. The approach is based on designing the Hankel singular values using an imbedding idea. The problem is first imbedded into another problem with desirable characteristics on the Hankel singular values, then the solution to the original problem is retracted via a compression. The result is applicable to both the one‐block and the four‐block problems. A special case is given for illustration.",

keywords = "All‐pass imbedding, Degree constraint, General distance problem, Hankel singular values",

author = "Davut Kavranogtlu and Maamar Bettayeb",

year = "1994",

doi = "10.1002/rnc.4590040205",

language = "English",

volume = "4",

pages = "289--299",

journal = "International Journal of Robust and Nonlinear Control",

issn = "1049-8923",

number = "2",

}

TY - JOUR

T1 - Optimal H∞ general distance problem with degree constraint

AU - Kavranogtlu, Davut

AU - Bettayeb, Maamar

PY - 1994

Y1 - 1994

N2 - In this paper the optimal H∞, general distance problem, for continuous‐time systems, with a prescribed degree on the solution is studied. The approach is based on designing the Hankel singular values using an imbedding idea. The problem is first imbedded into another problem with desirable characteristics on the Hankel singular values, then the solution to the original problem is retracted via a compression. The result is applicable to both the one‐block and the four‐block problems. A special case is given for illustration.

AB - In this paper the optimal H∞, general distance problem, for continuous‐time systems, with a prescribed degree on the solution is studied. The approach is based on designing the Hankel singular values using an imbedding idea. The problem is first imbedded into another problem with desirable characteristics on the Hankel singular values, then the solution to the original problem is retracted via a compression. The result is applicable to both the one‐block and the four‐block problems. A special case is given for illustration.

KW - All‐pass imbedding

KW - Degree constraint

KW - General distance problem

KW - Hankel singular values

UR - http://www.scopus.com/inward/record.url?scp=84987214923&partnerID=8YFLogxK

U2 - 10.1002/rnc.4590040205

DO - 10.1002/rnc.4590040205

M3 - Article

AN - SCOPUS:84987214923

SN - 1049-8923

VL - 4

SP - 289

EP - 299

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

IS - 2

ER -