Javascript verkar inte påslaget? - Vissa delar av Lunds universitets webbplats fungerar inte optimalt utan javascript, kontrollera din webbläsares inställningar.
Du är här

A Bode sensitivity integral for linear time-periodic systems

Publiceringsår: 2004
Språk: Engelska
Sidor: 2644-2649
Publikation/Tidskrift/Serie: Proceedings 43rd IEEE Conference on Decision and Control
Volym: 3
Dokumenttyp: Konferensbidrag
Förlag: IEEE--Institute of Electrical and Electronics Engineers Inc.


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.


  • Control 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


Reglermöte 2004
  • ISSN: 0191-2216
  • ISBN: 0-7803-8682-5

Box 117, 221 00 LUND
Telefon 046-222 00 00 (växel)
Telefax 046-222 47 20
lu [at] lu [dot] se

Fakturaadress: Box 188, 221 00 LUND
Organisationsnummer: 202100-3211
Om webbplatsen