Original scientific paper

https://doi.org/10.7305/automatika.2017.12.1554

Modeling PD closed-loop Control Problems with Fuzzy Differential Equations

Nohe R. Cazarez-Castro ; Tecnológico Nacional de México, Instituto Tecnológico de Tijuana, Calz. Tecnologico S/N C.P. 22414 Tijuana, Baja California, México
Selene L. Cardenas-Maciel ; Tecnológico Nacional de México, Instituto Tecnológico de Tijuana, Calz. Tecnologico S/N C.P. 22414 Tijuana, Baja California, México
Mauricio Odreman-Vera ; Tecnológico Nacional de México, Instituto Tecnológico de Tijuana, Calz. Tecnologico S/N C.P. 22414 Tijuana, Baja California, México
Guillermo Valencia-Palomo ; Tecnológico Nacional de México, Instituto Tecnológico de Hermosillo, Ave. Tecnológico y Periférico Poniente S/N C.P. 83170 Hermosillo, Sonora, México
Cecilia Leal-Ramirez ; Centro de Investigacion Cientifica y de Educacion Superior de Ensenada, Carretera Ensenada-Tijuana No. 3918 C.P. 22860 Ensenada, Baja California, México

Abstract

This paper reports a fuzzy differential equations approach for the modeling of initial condition uncertainty for a proportional derivative closed-loop control of a direct current motor. Uncertainties are considered on the precision of the sensing devices installed on a driver. The closed-loop system is designed for a plant modeled with fuzzy differential equations. Satisfactory analytic and numerical results for the position regulation problem for ideal case and also considering perturbed initial conditions are reported.

Keywords

Fuzzy differential equations; uncertainty; mathematical modeling; control

Hrčak ID:

196094

URI

https://hrcak.srce.hr/196094

Publication date:

19.1.2018.

Article data in other languages: croatian

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