On computational issues for stability analysis of LPV systems using parameter-dependent Lyapunov functions and LMIs

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dc.creatorLeonardo A. Mozelli
dc.creatorRicardo Luiz da Silva Adriano
dc.date.accessioned2025-05-15T13:08:48Z
dc.date.accessioned2025-09-09T00:03:01Z
dc.date.available2025-05-15T13:08:48Z
dc.date.issued2019
dc.identifier.doihttps://doi.org/10.1002/rnc.4528
dc.identifier.issn10498923
dc.identifier.urihttps://hdl.handle.net/1843/82287
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofInternational Journal of Robust and Nonlinear Control
dc.rightsAcesso Restrito
dc.subjectSistemas lineares
dc.subjectLiapunov, Funções de
dc.subject.otherLinear parameter varying (LPV) model plays a central role in system and control theories. In short, this model consists of a set of linear dynamics combined by means of time-varying parameters, representing a middle ground between linear and nonlinear dynamics. In addition, many results of LPV theory are useful for several classes of systems: from linear uncertain systems, whose parameters do not change over time but are not precisely known, to nonlinear systems, whose nonlinearities can be embedded by means of appropriate scheduling functions and convex representations.
dc.titleOn computational issues for stability analysis of LPV systems using parameter-dependent Lyapunov functions and LMIs
dc.typeArtigo de periódico
local.citation.epage3277
local.citation.issue10
local.citation.spage3267
local.description.resumoRobust stability analysis of linear systems subject to time-varying parameters is investigated. The objective is to discuss some computational issues associated with solving stability conditions based on parameter-dependent Lyapunov functions by means of linear matrix inequalities (LMIs), which are exacerbated as the quantity of time-varying parameters increases. A new solution related to the inclusion of the time derivatives of the parameters is proposed, improving the computational cost without resulting in much conservatism. The time complexity to solve the LMIs reduces from factorial to linear. Numerical examples are provide to illustrate the advantages of the proposed methodology.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELÉTRICA
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://onlinelibrary.wiley.com/doi/full/10.1002/rnc.4528

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