A bode sensitivity integral for linear time-periodic systems
2005 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 50, no 12, 2034-2039 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2005. Vol. 50, no 12, 2034-2039 p.
Bode sensitivity integral, linear time-periodic systems, performance limitations, frequency-response, feedback-systems, varying systems, tradeoffs, analog
IdentifiersURN: urn:nbn:se:kth:diva-15260DOI: 10.1109/TAC.2005.860247ISI: 000234062800010ScopusID: 2-s2.0-30344454665OAI: oai:DiVA.org:kth-15260DiVA: diva2:333301
QC 201111102010-08-052010-08-052016-06-01Bibliographically approved