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Balanced truncation of linear time-varying systems

In English

Författare

Summary, in English

In this paper balanced truncation of linear time-varying systems is studied in discrete and continuous time. Based on relatively basic calculations with time-varying Lyapunov equations/inequalities we are able to derive both upper and lower error bounds for the truncated models. These results generalize well-known time-invariant formulas. The case oftime-varying state dimension is considered. Input-output stability of all truncated balanced realizations is also proven. The method is finally successfully applied to a high-order model.

Publiceringsår

2004

Språk

Engelska

Sidor

217-229

Publikation/Tidskrift/Serie

IEEE Transactions on Automatic Control

Volym

49

Issue

2

Dokumenttyp

Artikel i tidskrift

Förlag

IEEE - Institute of Electrical and Electronics Engineers Inc.

Ämne

  • Control Engineering

Nyckelord

  • linear timevarying systems
  • Balanced truncation
  • error bound
  • model reduction

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0018-9286