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
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;
Conference_Titel :
Control Applications, 2004. Proceedings of the 2004 IEEE International Conference on
Print_ISBN :
0-7803-8633-7
DOI :
10.1109/CCA.2004.1387504
