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A Bode Sensitivity Integral for Linear Time-Periodic Systems

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Author

Summary, in English

Bode's sensitivity integral is a well-known formula that quantifies some of the limitations in feedback control for linear time-invariant systems. In this note, we show that there is a similar formula for linear time-periodic systems. The harmonic transfer function is used to prove the result. We use the notion of roll-off 2, which means that the first time-varying Markov parameter is equal to zero. It then follows that the harmonic transfer function is an analytic operator and a trace class operator. These facts are used to prove the result.

Publishing year

2005

Language

English

Pages

2034-2039

Publication/Series

IEEE Transactions on Automatic Control

Volume

50

Issue

12

Document type

Journal article

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Control Engineering

Keywords

  • Bode sensitivity integral
  • linear time-periodic systems
  • performance limitations

Status

Published

ISBN/ISSN/Other

  • ISSN: 0018-9286