Fuzzy Adaptive Type II Controller for Two-Mass System

Piotr Derugo, Krzysztof Szabat, Tomasz Pajchrowski and Krzysztof Zawirski
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Piotr Derugo: Electrical Engineering Faculty, Wrocław University of Science and Technology, 50-370 Wrocław, Poland
Krzysztof Szabat: Electrical Engineering Faculty, Wrocław University of Science and Technology, 50-370 Wrocław, Poland
Tomasz Pajchrowski: Faculty of Automatic Control, Robotics & Electrical Engineering, Poznan University of Technology, 60-965 Poznan, Poland
Krzysztof Zawirski: Stanislaw Staszic State University of Applied Sciences in Pila, 64-920 Pila, Poland

Energies, 2022, vol. 15, issue 2, 1-24

Abstract: This paper presents original concepts of control systems for an electrical drive with an elastic mechanical coupling between the motor and the driven mechanism. The synthesis procedure of the speed controller uses a proposed quality index (cost function) of system operation ensures the minimization of both tracking errors and torsional vibrations. Proper selection of the cost function focusses more on the reduction of torsional vibrations due to their negative influence on the drive’s mechanical coupling vitality. The omission of the plant identification of an adaptive fuzzy controller was proposed. Two types of fuzzy controllers were analyzed, namely with type I and type II fuzzy membership functions. The novelty of the presented approach is in the application of a Petri transition layer in a type II fuzzy controller which reduces the numerical complexity in case of a large number of complicated type II fuzzy sets. The presented simulation and experimental results prove that the best dumping of mechanical vibrations ensures the adaptive fuzzy controller with type II functions and a Petri transition layer.

Keywords: fuzzy controller; type II fuzzy functions; membership functions; Petri layer; MRAS; adaptation process; type 2 fuzzy sets (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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