DocumentCode
697063
Title
Ellipsoidal approximation of the stability domain of a polynomial
Author
Henrion, Didier ; Peaucelle, Dimitri ; Arzelier, Denis ; Sebek, Michael
Author_Institution
Centre Nat. de la Rech. Sci., Lab. d´Anal. et d´Archit. des Syst., Toulouse, France
fYear
2001
fDate
4-7 Sept. 2001
Firstpage
384
Lastpage
389
Abstract
The stability region in the space of coefficients of a polynomial is a non-convex region in general. In this paper, we propose a new convex ellipsoidal inner approximation of this region derived via optimization over linear matrix inequalities. As a byproduct, we obtain new simple sufficient conditions for stability that may prove useful in robust control design.
Keywords
linear matrix inequalities; optimisation; polynomial approximation; robust control; convex ellipsoidal inner approximation; linear matrix inequalities; nonconvex region; optimization; polynomial stability domain; robust control design; sufficient conditions; Aerospace electronics; Approximation methods; Ellipsoids; Linear matrix inequalities; Polynomials; Power system stability; Stability analysis; Linear Matrix Inequalities; Linear Systems; Polynomial; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2001 European
Conference_Location
Porto
Print_ISBN
978-3-9524173-6-2
Type
conf
Filename
7075937
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