Robustness analysis: a case study

Author

Ackermann, J. ; Hu, H.Z. ; Kaesbauer, D.

Author_Institution

German Aerosp. Res. Establ., Oberpfaffenhofen, West Germany

fYear

1988

fDate

7-9 Dec 1988

Firstpage

86

Abstract

Linear systems with uncertain parameters q are analyzed for stability for all q in a box Q. An example with multilinear dependency of the characteristic polynomial P(s , q) on the parameters is used as a test case for the composition of four methods: (1) eigenvalues (s-plane), (2) zero exclusion from the complex value set (P-plane), (3) algebraic test of Hurwitz conditions, and (4) parameter space (stability boundary exclusion from Q in projected q-space). The methods are also discussed with respect to gridding, graphical warning for singular cases, extension to many parameters, extension to polynomic coefficient functions, extension to Γ-stability, and insight beyond a yes-no answer to the analysis problem

Keywords

eigenvalues and eigenfunctions; linear systems; polynomials; stability; Γ-stability; Hurwitz conditions; P-plane; algebraic test; characteristic polynomial; eigenvalues; gridding; robustness analysis; s-plane; stability; stability boundary exclusion; uncertain parameters; Aerodynamics; Aerospace control; Aerospace testing; Computer aided software engineering; Control systems; Laboratories; Linear systems; Polynomials; Robustness; System testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Conference_Location

Austin, TX

Type

conf

DOI

10.1109/CDC.1988.194274

Filename

194274