DocumentCode
1751603
Title
Linear time computation of robust stability margins
Author
Fadali, M. Sami ; LaForge, Laurence E. ; Sonbol, A.
Author_Institution
Dept. of Electr. Eng., Nevada Univ., Reno, NV, USA
Volume
5
fYear
2001
fDate
2001
Firstpage
3469
Abstract
Applying recent results for feasible regions of compensation, we introduce an optimal algorithm for computing combined phase and gain stability margins. We consider the case of a rational transfer function with independent interval uncertainty in the numerator and denominator. For any given frequency, our algorithm expresses the minimal complex perturbation that destabilizes the transfer function. We furnish an example that contrasts our results with classical margins for gain and phase, as well as with the structured singular value μ
Keywords
computational complexity; robust control; transfer functions; gain stability; independent interval uncertainty; optimal algorithm; rational transfer function; robust stability; stability margins; value; Computational geometry; Frequency; Gain measurement; Iterative algorithms; Phase measurement; Polynomials; Robust stability; Stability analysis; Transfer functions; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2001. Proceedings of the 2001
Conference_Location
Arlington, VA
ISSN
0743-1619
Print_ISBN
0-7803-6495-3
Type
conf
DOI
10.1109/ACC.2001.946167
Filename
946167
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