Improved discretization method for uncertain linear systems: a descriptor system based approach

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dc.creatorMarcio F. Braga
dc.creatorVictor C. S. Campos
dc.creatorLuciano A. Frezzatto Santos
dc.date.accessioned2025-05-07T14:28:14Z
dc.date.accessioned2025-09-08T22:59:55Z
dc.date.available2025-05-07T14:28:14Z
dc.date.issued2019
dc.identifier.doi10.1109/CDC40024.2019.9030107
dc.identifier.urihttps://hdl.handle.net/1843/82087
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartof58th Conference on Decision and Control (CDC)
dc.rightsAcesso Restrito
dc.subjectSistemas lineares
dc.subject.otherTaylor series , Robustness , Numerical stability , Stability analysis , State feedback , Process control , Closed loop systems
dc.subject.otherLinear System , Uncertain Systems , Descriptor Systems , Sampling Time , Sampling Rate , Stability Of System , Optimal Control , Numerical Examples , Literary Works , Original System , Artificial Systems , Linear Matrix Inequalities , Digital Control , Continuous-time Systems , Discretization Error , Robust Feedback , State Feedback Control Law , Linear Matrix Inequality Conditions , Maximum Time , Closed-loop System , Auxiliary System , Taylor Expansion , Decimal Places , Arbitrary Degree , Conditions Of Theorem , State-space Matrices , Commutative , Sampled-data Systems , Degree Of Discretion , Maximum Sampling
dc.titleImproved discretization method for uncertain linear systems: a descriptor system based approach
dc.typeArtigo de evento
local.citation.spage7069
local.description.resumoThis paper investigates an alternative approach for the discretization of uncertain time-invariant continuous-time linear systems which allows to employ higher sampling times. The approach consists in creating an artificial discrete-time descriptor system whose discretization error behaves similarly to the one obtained with double the sampling rate of the original system. The resulting discrete-time descriptor model is compounded of homogeneous polynomially parameter-dependent matrices and additive norm bounded terms related to the discretization residual error. A new linear matrix inequality condition is proposed for the synthesis of a robust digital state feedback control law that certifies the closed-loop stability of the hybrid system. Numerical examples are presented to illustrate how larger sampling times can be used in the proposed method when compared to other works in the literature.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://ieeexplore.ieee.org/document/9030107

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