Proportional-integral-derivative-acceleration robust controllers for vibrating systems

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dc.creatorDanielle S Gontijo
dc.creatorJosé M. Araújo
dc.creatorTito L. M. Santos
dc.creatorFernando de Oliveira Souza
dc.date.accessioned2025-05-27T14:25:20Z
dc.date.accessioned2025-09-08T23:58:14Z
dc.date.available2025-05-27T14:25:20Z
dc.date.issued2023
dc.identifier.doi10.1177/10775463211060898
dc.identifier.issn10775463
dc.identifier.urihttps://hdl.handle.net/1843/82520
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofJournal of Vibration and Control
dc.rightsAcesso Restrito
dc.subjectControle automático
dc.subject.otherThe control of systems that exhibit vibratory behavior has received increased attention in the last decades. Nowadays, the active or semi-active control of such systems is widely applied from skyscraper stabilization under wind gusts to small applications such as microelectromechanical accelerometers, jerk control, flexible structures of aircraft, and the active suspension of vehicles or seats
dc.titleProportional-integral-derivative-acceleration robust controllers for vibrating systems
dc.typeArtigo de periódico
local.citation.epage1253
local.citation.issue5-6
local.citation.spage1243
local.citation.volume29
local.description.resumoThis paper presents a design framework to obtain a robust multivariable Proportional-Integral-Derivative (PID) controller for second-order linear vibrating systems. A Proportional-Integral-Derivative plus acceleration (PIDA) controller is also proposed to deal with the regularization problem. Relevant control challenges, such as modeling error, regulatory performance optimization, regional pole placement, saturation avoidance, and constant reference tracking are handled within the proposed Linear Matrix Inequality (LMI) design approach. The design strategy is obtained from a linear transformation that can be applied to achieve constant reference tracking for an actuated subspace of underactuated systems. Moreover, the integral action has two additional objectives: (1) to improve regulatory performance in the presence of constant disturbance and (2) to increase the design degree of freedom in order to robustly achieve closed-loop specifications. Three simulation case studies are used to highlight the benefits of the PID and PIDA controllers.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://journals.sagepub.com/doi/full/10.1177/10775463211060898

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