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Article Dans Une Revue IEEE Control Systems Letters Année : 2023

Stability Analysis of a Class of Discontinuous Discrete-Time Systems

Résumé

The stability analysis of a class of discontinuous discrete-time systems is studied in this letter. The system under study is modeled as a feedback interconnection of a linear system and a set-valued nonlinearity. An equivalent representation, based on a constrained optimization problem, is proposed to represent the set-valued nonlinearity via a collection of linear and quadratic constraints. Relying on this description and on the use of a generalized quadratic set-valued Lyapunov functions, sufficient conditions in the form of linear matrix inequalities for global exponential stability are obtained. Numerical examples corroborate the theoretical findings.

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Automatique
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Dates et versions

hal-03766438 , version 1 (07-04-2024)

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Francesco Ferrante, Giorgio Valmorbida. Stability Analysis of a Class of Discontinuous Discrete-Time Systems. IEEE Control Systems Letters, 2023, 7, pp.454-459. ⟨10.1109/LCSYS.2022.3183937⟩. ⟨hal-03766438⟩
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