On the robustness of low-order Schur polynomials

Author

Kraus, F.J. ; Anderson, B.D.O. ; Jury, E.I. ; Mansour, M.

Author_Institution

ETH, Zurich, Switzerland

Volume

35

Issue

5

fYear

1988

fDate

5/1/1988 12:00:00 AM

Firstpage

570

Lastpage

577

Abstract

Robust Schur stability conditions are obtained for polynomials of orders two to five. For n=2 and 3, the conditions obtained are related to stability of the corner points, while for n=4 and 5, the conditions are related to stability of corner and possible supplementary points. The number of points increases substantially as the polynomial order increases. The obtained results are of importance in the robust design of control systems. The difficulty in extending the approach to higher-order polynomials is discussed. Special cases for such extensions are mentioned. Further applications of the results obtained may be of use in the stability study of two-dimensional systems. Some examples for the application of the stability conditions are given and, in particular, the two counterexamples presented in the literature are discussed

Keywords

polynomials; stability criteria; system theory; Schur stability conditions; application; counterexamples; higher-order polynomials; low-order Schur polynomials; polynomial order; polynomials of orders two to five; robust design of control systems; robustness; stability criteria; stability of corner points; two-dimensional systems; Automatic control; Circuits and systems; Polynomials; Robust stability; Robustness; Sufficient conditions; Systems engineering and theory;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.1786

Filename

1786