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

Autor(es)

Bertolin, Ariadne L. J. ^[1] ; Oliveira, Ricardo C. L. F. ^[1] ; Valmorbida, Giorgio ^{[2, 3]} ; Peres, Pedro L. D. ^[1]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: IEEE CONTROL SYSTEMS LETTERS; v. 6, p. 710-715, 2022.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 19/10947-1 - Estabilidade, controle e filtragem para sistemas dinâmicos incertos por meio de desigualdades matriciais lineares
• Beneficiário: Ariádne de Lourdes Justi Bertolin
• Modalidade de apoio: Bolsas no Brasil - Doutorado