Stabilization of rational nonlinear discrete-time systems by state feedback and static output feedback

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dc.creatorGabriela Lígia Reis
dc.creatorRodrigo F. Araújo
dc.creatorLeonardo A. B. Torres
dc.creatorReinaldo M. Palhares
dc.date.accessioned2025-06-23T14:36:54Z
dc.date.accessioned2025-09-08T22:57:30Z
dc.date.available2025-06-23T14:36:54Z
dc.date.issued2022
dc.identifier.doi10.1016/j.ejcon.2022.100718
dc.identifier.issn09473580
dc.identifier.urihttps://hdl.handle.net/1843/83049
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofEuropean Journal of Control
dc.rightsAcesso Restrito
dc.subjectSistemas não lineares
dc.subject.otherRegional stabilization, Difference-algebraic representations, State feedback, Static output feedback, Parameter-dependent Lyapunov functions
dc.titleStabilization of rational nonlinear discrete-time systems by state feedback and static output feedback
dc.typeArtigo de periódico
local.citation.spage100718
local.citation.volume67
local.description.resumoThe design of State Feedback (SF) and Static Output Feedback (SOF) controllers for nonlinear discrete-time systems subject to time-varying parameters is discussed in the context of Difference-Algebraic Representations (DAR) and parameter-dependent Lyapunov functions applied to obtain convex conditions in the form of Linear Matrix Inequalities (LMI). The proposed conditions guarantee the system robust stabilization and provide an estimate of the Domain-of-Attraction (DoA). Firstly, a novel strategy for gain-scheduled SF control is proposed incorporating information on the system’s nonlinearities to compute the control action. Secondly, a new gain-scheduled SOF control design solution is derived, without structural constraints imposed on the output matrix and without making use of iterative algorithms, unlike most approaches in the current literature. Finally, numerical examples illustrate the proposed methodology’s potential.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://www.sciencedirect.com/science/article/pii/S094735802200111X

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