Title :
Closed-loop shaping based on Nevanlinna-Pick interpolation with a degree bound
Author_Institution :
Dept. of Mech. Eng., Univ. of California, Berkeley, CA, USA
Abstract :
This note presents a novel method for shaping the frequency response of a single-input-single-output closed-loop system, based on the theory of Nevanlinna-Pick interpolation with degree constraint. The method imposes a degree bound on the closed-loop transfer function and searches for a function with a desired frequency response. Numerical examples illustrate the potential of the method in designing controllers with lower degrees than the ones obtained by conventional H∞ controller design methods with weighting functions.
Keywords :
closed loop systems; control system synthesis; frequency-domain analysis; interpolation; optimal control; transfer functions; zero assignment; Nevanlinna-Pick interpolation; closed-loop shaping; controller design; degree bound; frequency response shaping; single-input-single-output system; spectral zeros; transfer function; Automatic control; Constraint optimization; Constraint theory; Design methodology; Feedback; Frequency response; Interpolation; Poles and zeros; Shape control; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.822853
