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Zbl 1206.93082
Belhaouane, Mohamed Moez; Ghariani, Mohamed Faiez; Ayadi, Hela Belkhiria; Braiek, Naceur Benhadj
Improved results on robust stability analysis and stabilization for a class of uncertain nonlinear systems. (English)
[J] Math. Probl. Eng. 2010, Article ID 724563, 24 p. (2010). ISSN 1024-123X; ISSN 1563-5147/e

Summary: 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 potential of the proposed approach.

MSC 2000:: *93D09 Robust stability of control systems
93D21 Adaptive and robust stabilization
93C10 Nonlinear control systems

Keywords: robust stability analysis; robust stabilization; polynomial system; robustness measure; stability robustness bound

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