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A Bode sensitivity integral for linear time-periodic systems

Författare:
Publiceringsår: 2004
Språk: Engelska
Sidor: 2644-2649
Publikation/Tidskrift/Serie: Proceedings 43rd IEEE Conference on Decision and Control
Volym: 3
Dokumenttyp: Konferensbidrag
Förlag: IEEE

Sammanfattning

For linear time-invariant systems Bode's sensitivity integral is a well-known formula that quantifies some of thelimitations in feedback control. In this paper we show that a very similar formula holds for linear time-periodicsystems. We use the infinite-dimensional frequency-response operator called the harmonic transfer function to prove the result. It is shown that the harmonic transfer function isan analytic operator and a trace class operator under the assumption that the periodic system has roll-off 2. A periodic system has roll-off 2 if the first time-varying Markov parameter is equal to zero.

Disputation

Nyckelord

  • Technology and Engineering
  • trace class operator
  • linear systems
  • time-varying systems
  • transfer functions
  • infinite-dimensional frequency-response operator
  • harmonic transfer function
  • Bode sensitivity integral
  • analytic operator
  • time-varying Markov parameter
  • linear time-periodic systems
  • frequency response

Övrigt

Published
Yes
  • ISSN: 0191-2216
  • ISBN: 0-7803-8682-5

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