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dc.contributor.author
Montoya, Oscar Danilo
dc.contributor.author
Serra, Federico Martin
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dc.contributor.author
Espinosa Perez, Gerardo
dc.date.available
2024-02-19T15:12:12Z
dc.date.issued
2023-07
dc.identifier.citation
Montoya, Oscar Danilo; Serra, Federico Martin; Espinosa Perez, Gerardo; On the Equivalence Between PI-PBC and IOC Designs: An Application Involving Three-Phase Front-End Converters; Institute of Electrical and Electronics Engineers; IEEE Transactions on Circuits and Systems II: Express Briefs; 71; 1; 7-2023; 241-245
dc.identifier.issn
1549-7747
dc.identifier.uri
http://hdl.handle.net/11336/227480
dc.description.abstract
This brief addressed the control design problem for a bilinear dynamical system with two approaches. The first approach is proportional-integral passivity-based control theory (PI-PBC), and the second control approach is based on inverse optimal control theory plus integral gain (IOC+I). PI-PBC theory is a well-known control design methodology for dealing with state variable regulation in dynamical systems that exhibit a port-Hamiltonian structure, with the main characteristic that a PI controller is designed by preserving the Hamiltonian properties in a closed loop while ensuring asymptotic stability. IOC+I allows for the design of feedback nonlinear controllers for dynamical systems, which in turn allows selecting the candidate Lyapunov function and the control matrix to obtain multiple nonlinear feedback controllers, with the main advantage that all of them ensure asymptotic stability, as the resulting control laws are optimal. This brief demonstrates that a PI-PBC design and IOC+I generate the same feedback control law if and only the candidate Lyapunov function of the IOC+I design is selected as the Hamiltonian function used in the PI-PBC design. The well-known three-phase front-end converter was selected as the test control system to demonstrate the equivalence between the control laws obtained with the PI-PBC and the IOC+I approaches.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Institute of Electrical and Electronics Engineers
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
BILINEAR SYSTEMS
dc.subject
EQUIVALENT CONTROL DESIGN
dc.subject
INVERSE OPTIMAL CONTROL
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PASSIVITY-BASED CONTROL WITH PI ACTION
dc.subject.classification
Ingeniería Eléctrica y Electrónica
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dc.subject.classification
Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
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dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS
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dc.title
On the Equivalence Between PI-PBC and IOC Designs: An Application Involving Three-Phase Front-End Converters
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-02-19T10:30:33Z
dc.journal.volume
71
dc.journal.number
1
dc.journal.pagination
241-245
dc.journal.pais
Estados Unidos
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dc.description.fil
Fil: Montoya, Oscar Danilo. Universidad Distrital Francisco José de Caldas; Colombia
dc.description.fil
Fil: Serra, Federico Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Investigaciones en Tecnología Química. Universidad Nacional de San Luis. Facultad de Química, Bioquímica y Farmacia. Instituto de Investigaciones en Tecnología Química; Argentina
dc.description.fil
Fil: Espinosa Perez, Gerardo. Universidad Nacional Autónoma de México; México
dc.journal.title
IEEE Transactions on Circuits and Systems II: Express Briefs
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1109/TCSII.2023.3299203
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