New Tools for Tuning PID Controllers Using Orthogonal Polynomials

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AudienciaPúblico en generales_ES
CoberturaMéxicoes_ES
Fecha de ingreso2026-10-05T16:33:03Z
Fecha de publicación2025-01-01
ResumenThis paper presents an algorithm to determine PID controller tuning regions that guarantee the stability of closed-loop control systems using the pole placement method, assigning a known robustly stable polynomial that depends on a vector of uncertain parameters as the desired closed-loop characteristic polynomial. The algorithm generates PID gains contingent on uncertain parameters. This robustly stable polynomial is constructed using modified classical weights and relies on well-known properties of the theory of orthogonal polynomials, including the recurrence relation. In addition, it considers linear combinations of two orthogonal polynomials with consecutive degrees. An advantage of the proposed approach is the considerable flexibility in selecting both the closed-loop characteristic polynomial and number of uncertain parameters. As this problem arises from the challenge of assigning n closed-loop poles with only three free gains, the methodology uses the Moore-Penrose generalized inverse of a certain matrix to obtain expressions of the PID gains. Therefore, the proposed methodology does not work in certain cases of linear time-invariant systems. Three examples were provided to illustrate the design algorithm.es_ES
Doihttps://doi.org/10.1109/access.2025.3542358es_ES
URIhttps://riuat.uat.edu.mx/handle/123456789/4898
Idiomaenes_ES
EditorialIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INCes_ES
RelaciónIEEE Accesses_ES
URL relacionadohttps://doi.org/10.1109/access.2025.3542358es_ES
DerechosAcceso abierto (Metadatos de producción científica)es_ES
Licenciahttp://purl.org/coar/access_right/c_abf2es_ES
FuenteIEEE Access
Palabra clavePolynomialses_ES
Palabra claveTuninges_ES
Palabra claveLinear systemses_ES
Palabra claveUncertaintyes_ES
Palabra clavePD controles_ES
Palabra claveThermal stabilityes_ES
Palabra claveTransformses_ES
Palabra claveTime factorses_ES
Palabra claveReviewses_ES
Palabra claveHurwitz polynomialses_ES
Palabra claveorthogonal polynomialses_ES
Palabra clavePID controllerses_ES
Palabra claverobust stabilityes_ES
Palabra claverobust stabilityes_ES
TítuloNew Tools for Tuning PID Controllers Using Orthogonal Polynomialses_ES
TipoArtículoes_ES
ArbitradoHa sido Arbitradoes_ES
AutorArceo, Alejandro
AutorGarza, Luis E.
AutorRomero, Gerardo
AutorValdez, Jose Luis
AutorArceo, Alejandroes_ES
AutorGarza, Luis E.es_ES
AutorRomero, Gerardoes_ES
AutorValdez, Jose Luises_ES
InstituciónUniversidad Autónoma de Tamaulipas
InstituciónUniversidad Autónoma de Tamaulipases_ES
Rango de páginas31992-32003es_ES
URL relacionadahttps://doi.org/10.1109/access.2025.3542358
Tipo de artículoIndexado
Tipo de artículoIndexadoes_ES
Volumen13es_ES

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