Work

Stability Analysis of a Class of Discontinuous Discrete-Time Systems

Year: 2022

Type: article

Abstract: 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.

Source: IEEE Control Systems Letters

DOI: 10.1109/lcsys.2022.3183937

Authors: Francesco Ferrante, Giorgio Valmorbida

Institutions: University of Perugia, Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire des signaux et systèmes, CentraleSupélec

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: Hybrid And Networked Dynamical sYstems, G4656594441