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Improved results on robust stability analysis and stabilization for a class of uncertain nonlinear systems. (English) Zbl 1206.93082
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:
93D09Robust stability of control systems
93D21Adaptive or robust stabilization
93C10Nonlinear control systems