DocumentCode
425753
Title
Robust stability of nonlinear polynomial systems by LMI
Author
Tibken, Bemd ; Dilaver, Kamil E.
Author_Institution
Fac. of Electr., Inf. & Media Eng., Wuppertal Univ., Germany
Volume
2
fYear
2004
fDate
2-4 Sept. 2004
Firstpage
1017
Abstract
The use of modern results from real algebraic geometry has led to new approaches to the problem of positivity of polynomials. This manuscript shows how these results can be applied in order to ensure robust stability for uncertain polynomial systems. Due to the mentioned results from real algebra we are able to derive sufficient conditions for asymptotic stability in the form of linear matrix inequalities (LMI) and to estimate a subset of the robust region of attraction.
Keywords
asymptotic stability; linear matrix inequalities; nonlinear control systems; robust control; uncertain systems; LMI; asymptotic stability; nonlinear uncertain polynomial system; real algebraic geometry; robust stability; Algebra; Asymptotic stability; Closed loop systems; Geometry; Lyapunov method; Modems; Polynomials; Robust stability; Robustness; State-space methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Applications, 2004. Proceedings of the 2004 IEEE International Conference on
Print_ISBN
0-7803-8633-7
Type
conf
DOI
10.1109/CCA.2004.1387504
Filename
1387504
Link To Document