An improved algorithm for computing the boundary of parametric rational functions

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...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1999-01, Vol.44 (1), p.227-231
Main Authors: SHEN, S.-K, WANG, B.-C, LEE, T.-T
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control theory. Systems
Exact sciences and technology
Feedback control
Frequency response
Performance analysis
Robust control
Stability analysis
System theory
Transfer functions
Uncertain systems
Uncertainty
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.739151