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Appl. Sci. 2017, 7(6), 513;

Equivalence between Fuzzy PID Controllers and Conventional PID Controllers

Department of Electrical Engineering, Southern Taiwan University of Science and Technology, 1, Nan-Tai St., Yongkang District, Tainan City 71005, Taiwan
Author to whom correspondence should be addressed.
Academic Editor: Hung-Yu Wang
Received: 25 March 2017 / Revised: 3 May 2017 / Accepted: 6 May 2017 / Published: 2 June 2017
(This article belongs to the Section Computer Science and Electrical Engineering)
Full-Text   |   PDF [3456 KB, uploaded 2 June 2017]   |  


This paper proposes the equivalence between fuzzy Proportional-Integral-Derivative (PID) controllers and conventional PID controllers. A well-designed conventional PID controller, with the help of the proposed method, can be rapidly transformed to an equivalent fuzzy logic controller (FLC) by observing and defining the operating ranges of the input/output of the controller. Furthermore, the knowledge base of the proposed equivalent fuzzy PID controller is represented as a cube fuzzy associative memory (FAM), instead of a combination of PD-type and PI-type FLCs in most research. Simulation results show the feasibility of the proposed technique, both in continuous and discrete time. Since the design techniques of conventional linear PID controllers have matured, they can act as preliminary expert knowledge for nonlinear FLCs designs. Based on the proposed equivalence relationship, the designer can further tune the membership functions of fuzzy variables in the control rules to exhibit the nonlinearity of a FLC and yield more satisfactory system responses in an efficient way. View Full-Text
Keywords: equivalence; conventional PID controller; fuzzy logic PID controller equivalence; conventional PID controller; fuzzy logic PID controller

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Chao, C.-T.; Sutarna, N.; Chiou, J.-S.; Wang, C.-J. Equivalence between Fuzzy PID Controllers and Conventional PID Controllers. Appl. Sci. 2017, 7, 513.

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