Title :
Frequency-domain synthesis of a filter using Viete root functions
Author :
Oustaloup, Alain ; Lanusse, Patrick ; Levron, François
Author_Institution :
LAP, Bordeaux I Univ., Talence, France
fDate :
5/1/2002 12:00:00 AM
Abstract :
This paper proposes a noniterative method to fit a rational transfer function to a specified frequency response. A method using a smoothing of width-modulated pulses of the phase asymptotic-diagram is modified to provide an exact algebraic method. This is then used to synthesize a robust controller and a nonrational transfer function with a fractional differentiation order
Keywords :
feedback; frequency response; frequency-domain synthesis; robust control; transfer functions; Viete root functions; exact algebraic method; fractional differentiation order; frequency response; frequency-domain synthesis; noniterative method; rational transfer function; robust controller; system identification; width-modulated pulses; Filters; Frequency response; Optimization methods; Poles and zeros; Polynomials; Pulse width modulation; Shape; Smoothing methods; Space vector pulse width modulation; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2002.1000283
