Type-2 fuzzy controller for stability of a system

D., Nagarajan and M., Lathamaheswari and J., Kavikumar (2019) Type-2 fuzzy controller for stability of a system. Advances in Intelligent Systems and Computing, 986. pp. 197-213. ISSN 2194-5357

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Type-2 Fuzzy sets (T2FSs) handle a greater modeling and uncertainties which exist in the real world applications especially control systems. To avoid mathematical complexity, interval T2FSs (IT2FSs) have been pertained in majority of the fields. One of the important components which influence the fuzzy controller is the t-norm. For obtaining the stability of a control system, tnorm operator can be preferred for better results and in this paper the minimum and maximum operations have been used to simplify the work of the system with Gaussian interval type-2 membership function (GIT2MF). Also proposed Gaussian interval type-2 weighted geometric (GIT2WG) operator and mathematical properties of aggregation operator have been proved using the proposed operator. The goal of this work is to analyze the stability of an inverted pendulum using interval type-2 fuzzy logic controller (IT2FLC) and the results are compared with Proportional Integrated Derivative (PID) Controller. It is observed that IT2FL controller gives the better stability.

Item Type: Article
Uncontrolled Keywords: Aggregation properties; Control systems; Gaussian membership function; T Norm; Type-2 fuzzy sets; PID controller; Interval type-2 fuzzy logic controller; Inverted pendulum
Subjects: T Technology > T Technology (General)
T Technology > TK Electrical engineering. Electronics Nuclear engineering > TK5101-6720 Telecommunication. Including telegraphy, telephone, radio, radar, television
Divisions: Faculty of Applied Science and Technology > Department of Postgraduate
Depositing User: Miss Afiqah Faiqah Mohd Hafiz
Date Deposited: 05 Jan 2022 04:22
Last Modified: 05 Jan 2022 04:22
URI: http://eprints.uthm.edu.my/id/eprint/5071

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