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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

An LMI Approach for Stability Analysis and Output-Feedback Stabilization of Discrete-Time Lur'e Systems Using Zames-Falb Multipliers

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Bertolin, Ariadne L. J. [1] ; Oliveira, Ricardo C. L. F. [1] ; Valmorbida, Giorgio [2, 3] ; Peres, Pedro L. D. [1]
Total Authors: 4
[1] Univ Campinas UNICAMP, Sch Elect & Comp Engn, BR-13083852 Campinas, SP - Brazil
[2] Univ Paris Saclay, Univ Paris Sud, Lab Signaux & Syst, Cent Supelec, CNRS, Gif Sur Yvette - France
[3] INRIA, Project Team DISCO, Paris - France
Total Affiliations: 3
Document type: Journal article
Source: IEEE CONTROL SYSTEMS LETTERS; v. 6, p. 710-715, 2022.
Web of Science Citations: 0

This letter investigates the problem of stability analysis and output-feedback stabilization of discrete-time Lur'e systems where the nonlinearity is odd and slope bounded. Using the linear matrix inequality (LMI) conditions from the literature to handle the l(1) norm and positive realness constraints, an iterative algorithm based on LMIs is constructed to assess stability through the existence of a Zames-Falb multiplier of any given order based on independent positive definite matrices for the l(1) norm and positive realness. More important, the method can also deal with output-feedback stabilization. Numerical examples illustrate the performance of the proposed approach when compared with other methods. (AU)

FAPESP's process: 19/10947-1 - Stability, control and filtering for uncertain dynamical systems by means of linear matrix inequalities
Grantee:Ariádne de Lourdes Justi Bertolin
Support Opportunities: Scholarships in Brazil - Doctorate