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State feedback stabilization of a class of uncertain nonlinear systems on non-uniform time domains

Abstract : This paper deals with the stabilization problem for a class of uncertain nonlinear systems on non-uniform time domains. Some sufficient conditions are derived to design a state feedback controller for a class of uncertain nonlinear time-varying systems under vanishing perturbations. Using some Gronwall’s integral inequalities, the uniform exponential stability of the closed-loop systems on arbitrary time scales, is guaranteed. Then, based on the Lyapunov theory, new sufficient conditions are proposed to derive the controller which ensures the practical stability of the closed-loop time-invariant nonlinear uncertain system under non-vanishing perturbations. Some examples illustrate these results.
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https://hal-uphf.archives-ouvertes.fr/hal-03426989
Contributor : Mylène Delrue Connect in order to contact the contributor
Submitted on : Friday, November 12, 2021 - 6:13:03 PM
Last modification on : Saturday, November 13, 2021 - 3:53:18 AM

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Bacem Ben Nasser, Khaled Boukerrioua, Michael Defoort, Mohamed Djemai, Mohamed Ali Hammami. State feedback stabilization of a class of uncertain nonlinear systems on non-uniform time domains. Systems and Control Letters, Elsevier, 2016, 97, pp.18-26. ⟨10.1016/j.sysconle.2016.08.005⟩. ⟨hal-03426989⟩

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