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Error Bounds for Balanced Truncation of Linear Time-Varying Systems

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Author

Summary, in English

In this paper error bounds for truncated balanced linear time-varying systems in discrete time are obtained. The analysis is based on direct calculations with the time-varying observability and controllability Lyapunov inequalities. The obtained bounds in the induced l-script -norm generalize well-known error-bound formulas for time-invariant systems. The case of time-varying state-space dimension is considered, and this proves to be valuable both for technical and practical reasons. Input-output stability of truncated models is shown to be guaranteed.

Publishing year

2002

Language

English

Pages

2892-2897

Publication/Series

Proceedings of the 41st IEEE Conference on Decision and Control, 2002

Volume

3

Document type

Conference paper

Publisher

Las Vegas, Nevada

Topic

  • Control Engineering

Keywords

  • controllability
  • linear systems
  • state-space methods
  • stability
  • reduced order systems
  • observability
  • time-varying systems
  • discrete time systems
  • Lyapunov methods

Status

Published

ISBN/ISSN/Other

  • ISSN: 0191-2216
  • ISBN: 0-7803-7516-5