Title :
Approximating delay elements by feedback
Author :
Beghi, Alessandro ; Lepschy, Antonio ; Viaro, Umberto
Author_Institution :
Dept. of Electron. & Inf., Padova Univ., Italy
fDate :
9/1/1997 12:00:00 AM
Abstract :
A procedure for obtaining a proper rational approximant of the transfer function of a delayer is suggested. In particular, the step response of the unity-feedback system with the delayer in the direct path is first approximated by truncating the Fourier series expansion of its periodic component, and then the corresponding direct-path rational transfer function is derived, thus arriving at a stable Blaschke product
Keywords :
Fourier series; closed loop systems; delay systems; feedback; stability; transfer functions; Fourier series expansion; closed loop control; delay elements; direct path; feedback; feedback control; periodic component; rational approximant; stable Blaschke product; step response; transfer function; unity-feedback system; Bandwidth; Delay systems; Feedback control; Fourier series; Mathematical model; Negative feedback; Negative feedback loops; Poles and zeros; Resonance; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
