Abstract

BUSTILLOS DURAN, Vidher Wilfredo. Diseño de un controlador difuso tipo-2 T2FC mediante la estabilidad de Lyapunov en el P.E.A. con una evaluación comparativa para el control de nivel de tanques de agua con tiempo muerto FOPDT. Edu. Sup. Rev. Cient. Cepies [online]. 2022, vol.9, n.3, pp.11-32. ISSN 2518-8283.

Abstract This article presents the design of a type-2 T2FC fuzzy controller, which is based on the Lyapunov stability and its candidate function to obtain the base control rules, for the design of the type- 2 fuzzy controller, based on the rules fuzzy signals established by the operation of the control system, the error signals and the derivative of the error are used exclusively, determining the type-2 membership functions that allow tracking at a reference level - established set point, which will allow the comparative evaluation of fuzzy control systems for the level control of water tanks within the P.E.A. The development of the T2FC type-2 fuzzy controller will be carried out using the MatLab 2015b mathematical modeling software with its Simulink application and the Fuzzy Logic Type2 library, highlighting in the main editor, the type of reduction by the Karnik-Mendel KM method. , the fuzzy variables of the FIS inference system and the Sugeno inference method for the presentation of the output variable. For the validation of the results, a water tank level control system with dead time is used, through a virtual model obtained from the Control Station v3.7® software, analyzing the transitory regime, comparing the results obtained with the fuzzy controllers. T2FC and T1FC

Keywords : Fuzzy controller; T2FC; KM reduction method; membership functions; fuzzy rules; Sugeno inference; Lyapunov stability.

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