The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems

O.V. Iftime; Heiko J. Zwart

The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems

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Abstract

In this paper we provide sufficient conditions for the solvability of the standard $H_{\infty}$-suboptimal control problem for linear, time invariant, infinite-dimensional systems with finite-dimensional input and output spaces. The sufficient conditions are formulated in terms of the existence of two $J$-lossless factorizations. For the Wiener algebra class of the transfer functions an algorithm for solving $J$-spectral factorization is given.

Original language	Undefined
Place of Publication	Enschede
Publisher	University of Twente
Publication status	Published - 2000

Publication series

Name
Publisher	Department of Applied Mathematics, University of Twente
No.	1532
ISSN (Print)	0169-2690

Keywords

MSC-93B36
MSC-93C20
IR-65719
MSC-47A68
EWI-3352
MSC-93C80

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Cite this

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title = "The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems",

abstract = "In this paper we provide sufficient conditions for the solvability of the standard $H_{\infty}$-suboptimal control problem for linear, time invariant, infinite-dimensional systems with finite-dimensional input and output spaces. The sufficient conditions are formulated in terms of the existence of two $J$-lossless factorizations. For the Wiener algebra class of the transfer functions an algorithm for solving $J$-spectral factorization is given.",

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author = "O.V. Iftime and Zwart, {Heiko J.}",

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year = "2000",

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TY - BOOK

T1 - The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems

AU - Iftime, O.V.

AU - Zwart, Heiko J.

N1 - Imported from MEMORANDA

PY - 2000

Y1 - 2000

N2 - In this paper we provide sufficient conditions for the solvability of the standard $H_{\infty}$-suboptimal control problem for linear, time invariant, infinite-dimensional systems with finite-dimensional input and output spaces. The sufficient conditions are formulated in terms of the existence of two $J$-lossless factorizations. For the Wiener algebra class of the transfer functions an algorithm for solving $J$-spectral factorization is given.

AB - In this paper we provide sufficient conditions for the solvability of the standard $H_{\infty}$-suboptimal control problem for linear, time invariant, infinite-dimensional systems with finite-dimensional input and output spaces. The sufficient conditions are formulated in terms of the existence of two $J$-lossless factorizations. For the Wiener algebra class of the transfer functions an algorithm for solving $J$-spectral factorization is given.

KW - MSC-93B36

KW - MSC-93C20

KW - IR-65719

KW - MSC-47A68

KW - EWI-3352

KW - MSC-93C80

M3 - Report

BT - The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems

PB - University of Twente

CY - Enschede

ER -