NDLI: What is a 'large' number of parameters in robust systems?

Content Provider	IEEE Xplore Digital Library
Author	Ackermann, J. Sienel, W.
Copyright Year	1990
Description	Author affiliation: DLR, Oberpfaffenhofen, Germany (Ackermann, J.; Sienel, W.)
Abstract	The authors consider the robust stability analysis of a characteristic polynomial p(s,q) whose coefficients are functions of l uncertain bounded parameters in the vector q=(q/sub 1/ q/sub 2/ . . . q/sub l/) in Q. There is an important class of tree-structured polynomials for which the value set p(j omega ,q) can be constructed in consecutive steps via a two-at-a-time procedure. A mechanical system is modeled in such a way that a tree structure is present. A minimum-phase stable compensator with uncertain parameters is considered. For the resulting polynomial with multilinear dependence on q in R/sup 13/, the robustness analysis is shown to be very fast. Since computation of the value set at each frequency takes 0.6 seconds on an Apollo 3500 workstation, a 'movie' with omega as animation time was produced. Thus l=13 is not a large number for this class of systems.<>
Starting Page	3496
Ending Page	3497
File Size	270432
Page Count	2
File Format	PDF
DOI	10.1109/CDC.1990.203453
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1990-12-05
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robustness Robust stability Polynomials Mechanical systems Tree data structures Frequency Animation System testing Aggregates Equations
Content Type	Text
Resource Type	Article

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