Frequency-Domain Analysis of Linear Time-Periodic Systems

Summary, in English

In this paper we study how a system with a time-periodic impulse response may be expanded into a sum of modulated time-invariant systems. This allows us to define a linear frequency-response operator for periodic systems, called the harmonic transfer function (HTF). Similar frequency-response operators have been derived before for sampled-data systems and periodic finite-dimensional state-space systems. The HTF is an infinite-dimensional operator that captures the frequency coupling of a time-periodic system. The paper includes analysis of convergence of truncated HTFs. For this reason the concepts of input/output roll-off are developed and related to time-varying Markov parameters.

• Författare: Henrik Sandberg; Erik Möllerstedt; Bo Bernhardsson
• Avdelning/ar: Institutionen för reglerteknik
• Publiceringsår: 2004
• Språk: Engelska
• Sidor: 3357-3362
• Publikation/Tidskrift/Serie: Proceedings of the 2004 American Control Conference.
• Volym: 4
• Länkar: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1384427
• Dokumenttyp: Konferensbidrag
• Förlag: Boston, Massachusetts
• Ämne: Control Engineering
• Nyckelord: state-space methods; sampled data systems; periodic control; multidimensional systems; linear systems; harmonic analysis; frequency-domain analysis; frequency response; Markov processes; convergence; time-varying systems; transient response; transfer functions
• Status: Published
• ISBN/ISSN/Övrigt: ISSN: 0743-1619; ISBN: 0-7803-8335-4