Abstract

The output feedback stabilization problem is discussed. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is considered and thereby the discrete minimax problem is solved. The main difference between this paper and previous works is in the presence of regular and singular perturbations in the dynamics.
Original languageEnglish
Pages (from-to)2497-2504
Number of pages8
JournalApplied Mathematical Sciences
Volume10
Issue number51
DOIs
Publication statusPublished - 2016

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Quadratic Functional
Minimax Problems
Feedback Stabilization
Singular Systems
Perturbed System
Output Feedback
Singular Perturbation
Minimax
Stabilization
Feedback
Minimise
Arbitrary
Design

Cite this

@article{82911f40e3bd42fba6da090bbceee076,
title = "Minimax control of a singular perturbed system",
abstract = "The output feedback stabilization problem is discussed. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is considered and thereby the discrete minimax problem is solved. The main difference between this paper and previous works is in the presence of regular and singular perturbations in the dynamics.",
author = "Myshkov, {Stanislav K.} and Bure, {Vladimir M.} and Karelin, {Vladimir V.} and Polyakova, {Lyudmila N.}",
year = "2016",
doi = "10.12988/ams.2016.66185",
language = "English",
volume = "10",
pages = "2497--2504",
journal = "Applied Mathematical Sciences",
issn = "1312-885X",
publisher = "Hikari Ltd.",
number = "51",

}

TY - JOUR

T1 - Minimax control of a singular perturbed system

AU - Myshkov, Stanislav K.

AU - Bure, Vladimir M.

AU - Karelin, Vladimir V.

AU - Polyakova, Lyudmila N.

PY - 2016

Y1 - 2016

N2 - The output feedback stabilization problem is discussed. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is considered and thereby the discrete minimax problem is solved. The main difference between this paper and previous works is in the presence of regular and singular perturbations in the dynamics.

AB - The output feedback stabilization problem is discussed. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is considered and thereby the discrete minimax problem is solved. The main difference between this paper and previous works is in the presence of regular and singular perturbations in the dynamics.

U2 - 10.12988/ams.2016.66185

DO - 10.12988/ams.2016.66185

M3 - Article

VL - 10

SP - 2497

EP - 2504

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 51

ER -