On the Robustness of Hurwitz Polynomials under Coefficient Perturbation
Summary :
This note presents a new approach for the robustness of Hurwitz polynomials under coefficient perturbation. The s-domain Hurwitz polynomial is transformed to the z-domain polynomial by the bilinear transformation. Then an approach based on the Rouché theorem introduced in the literature is applied to compute a crude bound for the allowable coefficient variation such that the perturbed polynomial maintains the Hurwitz stability property. Three methods to obtain improved bounds are also suggested. The results of this note are computationally more efficient than the existing direct s-domain approaches especially for polynomials of higher degree. Furthermore examples indicate that the exact bound for the coefficient variation can be obtained in some cases.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.10 pp.2079-2082
- Publication Date
- 2014/10/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.2079
- Type of Manuscript
- LETTER
- Category
- Systems and Control
Authors
Younseok CHOO
Hongik University
Keyword
Latest Issue
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Younseok CHOO, "On the Robustness of Hurwitz Polynomials under Coefficient Perturbation" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 10, pp. 2079-2082, October 2014, doi: 10.1587/transfun.E97.A.2079.
Abstract: This note presents a new approach for the robustness of Hurwitz polynomials under coefficient perturbation. The s-domain Hurwitz polynomial is transformed to the z-domain polynomial by the bilinear transformation. Then an approach based on the Rouché theorem introduced in the literature is applied to compute a crude bound for the allowable coefficient variation such that the perturbed polynomial maintains the Hurwitz stability property. Three methods to obtain improved bounds are also suggested. The results of this note are computationally more efficient than the existing direct s-domain approaches especially for polynomials of higher degree. Furthermore examples indicate that the exact bound for the coefficient variation can be obtained in some cases.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.2079/_p
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@ARTICLE{e97-a_10_2079,
author={Younseok CHOO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Robustness of Hurwitz Polynomials under Coefficient Perturbation},
year={2014},
volume={E97-A},
number={10},
pages={2079-2082},
abstract={This note presents a new approach for the robustness of Hurwitz polynomials under coefficient perturbation. The s-domain Hurwitz polynomial is transformed to the z-domain polynomial by the bilinear transformation. Then an approach based on the Rouché theorem introduced in the literature is applied to compute a crude bound for the allowable coefficient variation such that the perturbed polynomial maintains the Hurwitz stability property. Three methods to obtain improved bounds are also suggested. The results of this note are computationally more efficient than the existing direct s-domain approaches especially for polynomials of higher degree. Furthermore examples indicate that the exact bound for the coefficient variation can be obtained in some cases.},
keywords={},
doi={10.1587/transfun.E97.A.2079},
ISSN={1745-1337},
month={October},}
Copy
TY - JOUR
TI - On the Robustness of Hurwitz Polynomials under Coefficient Perturbation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2079
EP - 2082
AU - Younseok CHOO
PY - 2014
DO - 10.1587/transfun.E97.A.2079
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2014
AB - This note presents a new approach for the robustness of Hurwitz polynomials under coefficient perturbation. The s-domain Hurwitz polynomial is transformed to the z-domain polynomial by the bilinear transformation. Then an approach based on the Rouché theorem introduced in the literature is applied to compute a crude bound for the allowable coefficient variation such that the perturbed polynomial maintains the Hurwitz stability property. Three methods to obtain improved bounds are also suggested. The results of this note are computationally more efficient than the existing direct s-domain approaches especially for polynomials of higher degree. Furthermore examples indicate that the exact bound for the coefficient variation can be obtained in some cases.
ER -
English
