Type-2 fuzzy controller for stability of a system
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 fu...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer Verlag
2019
|
| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/5071/ http://eprints.uthm.edu.my/5071/1/AJ%202020%20%2879%29.pdf |
| _version_ | 1848888455785873408 |
|---|---|
| author | D., Nagarajan M., Lathamaheswari J., Kavikumar |
| author_facet | D., Nagarajan M., Lathamaheswari J., Kavikumar |
| author_sort | D., Nagarajan |
| building | UTHM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T20:10:34Z |
| format | Article |
| id | uthm-5071 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:10:34Z |
| publishDate | 2019 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-50712022-01-05T04:22:00Z http://eprints.uthm.edu.my/5071/ Type-2 fuzzy controller for stability of a system D., Nagarajan M., Lathamaheswari J., Kavikumar T Technology (General) TK5101-6720 Telecommunication. Including telegraphy, telephone, radio, radar, television 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. Springer Verlag 2019 Article PeerReviewed text en http://eprints.uthm.edu.my/5071/1/AJ%202020%20%2879%29.pdf 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 https://doi.org/10.1007/978-3-030-19813-8_21 |
| spellingShingle | T Technology (General) TK5101-6720 Telecommunication. Including telegraphy, telephone, radio, radar, television D., Nagarajan M., Lathamaheswari J., Kavikumar Type-2 fuzzy controller for stability of a system |
| title | Type-2 fuzzy controller for stability of a system |
| title_full | Type-2 fuzzy controller for stability of a system |
| title_fullStr | Type-2 fuzzy controller for stability of a system |
| title_full_unstemmed | Type-2 fuzzy controller for stability of a system |
| title_short | Type-2 fuzzy controller for stability of a system |
| title_sort | type-2 fuzzy controller for stability of a system |
| topic | T Technology (General) TK5101-6720 Telecommunication. Including telegraphy, telephone, radio, radar, television |
| url | http://eprints.uthm.edu.my/5071/ http://eprints.uthm.edu.my/5071/ http://eprints.uthm.edu.my/5071/1/AJ%202020%20%2879%29.pdf |