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Mathematical Problems in Engineering
Volume 2010, Article ID 724563, 24 pages
Research Article

Improved Results on Robust Stability Analysis and Stabilization for a Class of Uncertain Nonlinear Systems

Laboratoire d'Etude et Commande Automatique de Processus (LECAP), Ecole Polytechnique de Tunisie, BP 743, 2078 La Marsa, Tunisia

Received 24 April 2010; Accepted 3 November 2010

Academic Editor: Jerzy Warminski

Copyright © 2010 Mohamed Moez Belhaouane et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper deals with the problems of robust stability analysis and robust stabilization for uncertain nonlinear polynomial systems. The combination of a polynomial system stability criterion with an improved robustness measure of uncertain linear systems has allowed the formulation of a new criterion for robustness bound estimation of the studied uncertain polynomial systems. Indeed, the formulated approach is extended to involve the global stabilization of nonlinear polynomial systems with maximization of the stability robustness bound. The proposed method is helpful to improve the existing techniques used in the analysis and control for uncertain polynomial systems. Simulation examples illustrate the potentials of the proposed approach.