Title :
Robustness analysis: a case study
Author :
Ackermann, J. ; Hu, H.Z. ; Kaesbauer, D.
Author_Institution :
German Aerosp. Res. Establ., Oberpfaffenhofen, West Germany
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;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194274
