Title :
An improved algorithm for computing the boundary of parametric rational functions
Author :
Shen, Sy-Kang ; Wang, Bor-Chyun ; Lee, Tsu-Tian
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ. of Sci. & Technol., Taipei, Taiwan
Abstract :
An improved algorithm for computing the boundary of a rational function with parametric perturbation is addressed. The coefficients of the rational functions are assumed to be affine functions of some underlying parameters, and all the coefficients of the numerator and denominator are correlated to each other. Illustrative examples are provided to demonstrate that the proposed method will provide more precise results over some existing methods.
Keywords :
control system analysis; control system synthesis; rational functions; robust control; affine functions; boundary; denominator; numerator; parametric rational functions; Control system analysis; Control system synthesis; Feedback control; Frequency response; Performance analysis; Robust control; Stability analysis; Transfer functions; Uncertain systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on