Frequency-Domain Analysis of Linear Time-Periodic Systems

• 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.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

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

convergence;frequency domain analysis;harmonic transfer function;infinite dimensional operator;linear frequency response operator;linear time periodic systems;modulated time invariant systems;periodic finite dimensional state space systems;sampled data systems;time periodic impulse response;time varying Markov parameters;Markov processes;convergence;frequency response;frequency-domain analysis;harmonic analysis;linear systems;multidimensional systems;periodic control;sampled data systems;state-space methods;time-varying systems;transfer functions;transient response

Publikations- och innehållstyp

kon (ämneskategori)

ref (ämneskategori)