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

O.V. Iftime, Heiko J. Zwart

Research output: Book/ReportReportOther research output

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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 languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Publication statusPublished - 2000

Publication series

Name
PublisherDepartment 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

Cite this

Iftime, O. V., & Zwart, H. J. (2000). The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems. Enschede: University of Twente, Department of Applied Mathematics.
Iftime, O.V. ; Zwart, Heiko J. / The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems. Enschede : University of Twente, Department of Applied Mathematics, 2000.
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Iftime, OV & Zwart, HJ 2000, The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems. University of Twente, Department of Applied Mathematics, Enschede.

The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems. / Iftime, O.V.; Zwart, Heiko J.

Enschede : University of Twente, Department of Applied Mathematics, 2000.

Research output: Book/ReportReportOther research output

TY - BOOK

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

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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

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ER -

Iftime OV, Zwart HJ. The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems. Enschede: University of Twente, Department of Applied Mathematics, 2000.