Boundary function based Karnik-Mendel type reduction method for Interval Type-2 Fuzzy PID controllers

Mehmet Furkan Dodurka; Tufan Kumbasar; Ahmet Sakalli; Engin Yesil

doi:10.1109/FUZZ-IEEE.2014.6891832

Boundary function based Karnik-Mendel type reduction method for Interval Type-2 Fuzzy PID controllers

Mehmet Furkan Dodurka
, Tufan Kumbasar
, Ahmet Sakalli
, Engin Yesil

Kontrol ve Otomasyon Mühendisliği Bölümü

Istanbul Technical University

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

12 Atıf (Scopus)

Özet

In this paper, we will present a Boundary Function (BF) based type reduction/ denazification method for Interval Type-2 Fuzzy PID (IT2-PID) controllers. Thus, we have presented a novel representation of the optimal Switching Points (SPs) of the Karnik Mendel (KM) method by first decomposing the IT2-FPID controller into SubControllers (SCs) and then derived Boundary Functions (BFs) to determine the optimal SPs of each SCs. Since the optimal SPs are calculated without an iterative algorithm, the explicit expressions of how the SPs are determined is represented in analytical structure via the proposed BFs. We have presented comparative studies where the computational time performance of the proposed BF-KM method is compared to the KM and the decomposition based KM methods. The presented results show that proposed method is superior in comparison to the other compared methods and feasible for especially real time control applications where there is a need of small sampling times.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE
Yayınlayan	Institute of Electrical and Electronics Engineers Inc.
Sayfalar	619-625
Sayfa sayısı	7
ISBN (Elektronik)	9781479920723
DOI'lar	https://doi.org/10.1109/FUZZ-IEEE.2014.6891832
Yayın durumu	Yayınlandı - 4 Eyl 2014
Etkinlik	2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014 - Beijing, China Süre: 6 Tem 2014 → 11 Tem 2014

Yayın serisi

Adı	IEEE International Conference on Fuzzy Systems
ISSN (Basılı)	1098-7584

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014
Ülke/Bölge	China
Şehir	Beijing
Periyot	6/07/14 → 11/07/14

Bibliyografik not

Publisher Copyright:
© 2014 IEEE.

Belgeye Erişim

10.1109/FUZZ-IEEE.2014.6891832

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Dodurka, M. F., Kumbasar, T., Sakalli, A., & Yesil, E. (2014). Boundary function based Karnik-Mendel type reduction method for Interval Type-2 Fuzzy PID controllers. In Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE (pp. 619-625). Makale 6891832 (IEEE International Conference on Fuzzy Systems). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FUZZ-IEEE.2014.6891832

Dodurka, Mehmet Furkan ; Kumbasar, Tufan ; Sakalli, Ahmet et al. / Boundary function based Karnik-Mendel type reduction method for Interval Type-2 Fuzzy PID controllers. Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 619-625 (IEEE International Conference on Fuzzy Systems).

@inproceedings{97b89ef3fa4b465dbbbab00a3753184d,

title = "Boundary function based Karnik-Mendel type reduction method for Interval Type-2 Fuzzy PID controllers",

abstract = "In this paper, we will present a Boundary Function (BF) based type reduction/ denazification method for Interval Type-2 Fuzzy PID (IT2-PID) controllers. Thus, we have presented a novel representation of the optimal Switching Points (SPs) of the Karnik Mendel (KM) method by first decomposing the IT2-FPID controller into SubControllers (SCs) and then derived Boundary Functions (BFs) to determine the optimal SPs of each SCs. Since the optimal SPs are calculated without an iterative algorithm, the explicit expressions of how the SPs are determined is represented in analytical structure via the proposed BFs. We have presented comparative studies where the computational time performance of the proposed BF-KM method is compared to the KM and the decomposition based KM methods. The presented results show that proposed method is superior in comparison to the other compared methods and feasible for especially real time control applications where there is a need of small sampling times.",

keywords = "Decomposition, Interval type-2 fuzzy PID controllers, Karnik-Mendel Method, Switicing Points",

author = "Dodurka, \{Mehmet Furkan\} and Tufan Kumbasar and Ahmet Sakalli and Engin Yesil",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014 ; Conference date: 06-07-2014 Through 11-07-2014",

year = "2014",

month = sep,

day = "4",

doi = "10.1109/FUZZ-IEEE.2014.6891832",

language = "English",

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Dodurka, MF, Kumbasar, T, Sakalli, A & Yesil, E 2014, Boundary function based Karnik-Mendel type reduction method for Interval Type-2 Fuzzy PID controllers. in Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE., 6891832, IEEE International Conference on Fuzzy Systems, Institute of Electrical and Electronics Engineers Inc., pp. 619-625, 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014, Beijing, China, 6/07/14. https://doi.org/10.1109/FUZZ-IEEE.2014.6891832

Boundary function based Karnik-Mendel type reduction method for Interval Type-2 Fuzzy PID controllers. / Dodurka, Mehmet Furkan; Kumbasar, Tufan; Sakalli, Ahmet et al.
Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE. Institute of Electrical and Electronics Engineers Inc., 2014. p. 619-625 6891832 (IEEE International Conference on Fuzzy Systems).

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

TY - GEN

T1 - Boundary function based Karnik-Mendel type reduction method for Interval Type-2 Fuzzy PID controllers

AU - Dodurka, Mehmet Furkan

AU - Kumbasar, Tufan

AU - Sakalli, Ahmet

AU - Yesil, Engin

PY - 2014/9/4

Y1 - 2014/9/4

N2 - In this paper, we will present a Boundary Function (BF) based type reduction/ denazification method for Interval Type-2 Fuzzy PID (IT2-PID) controllers. Thus, we have presented a novel representation of the optimal Switching Points (SPs) of the Karnik Mendel (KM) method by first decomposing the IT2-FPID controller into SubControllers (SCs) and then derived Boundary Functions (BFs) to determine the optimal SPs of each SCs. Since the optimal SPs are calculated without an iterative algorithm, the explicit expressions of how the SPs are determined is represented in analytical structure via the proposed BFs. We have presented comparative studies where the computational time performance of the proposed BF-KM method is compared to the KM and the decomposition based KM methods. The presented results show that proposed method is superior in comparison to the other compared methods and feasible for especially real time control applications where there is a need of small sampling times.

AB - In this paper, we will present a Boundary Function (BF) based type reduction/ denazification method for Interval Type-2 Fuzzy PID (IT2-PID) controllers. Thus, we have presented a novel representation of the optimal Switching Points (SPs) of the Karnik Mendel (KM) method by first decomposing the IT2-FPID controller into SubControllers (SCs) and then derived Boundary Functions (BFs) to determine the optimal SPs of each SCs. Since the optimal SPs are calculated without an iterative algorithm, the explicit expressions of how the SPs are determined is represented in analytical structure via the proposed BFs. We have presented comparative studies where the computational time performance of the proposed BF-KM method is compared to the KM and the decomposition based KM methods. The presented results show that proposed method is superior in comparison to the other compared methods and feasible for especially real time control applications where there is a need of small sampling times.

KW - Decomposition

KW - Interval type-2 fuzzy PID controllers

KW - Karnik-Mendel Method

KW - Switicing Points

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DO - 10.1109/FUZZ-IEEE.2014.6891832

M3 - Conference contribution

AN - SCOPUS:84912557967

T3 - IEEE International Conference on Fuzzy Systems

SP - 619

EP - 625

BT - Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014

Y2 - 6 July 2014 through 11 July 2014

ER -

Dodurka MF, Kumbasar T, Sakalli A, Yesil E. Boundary function based Karnik-Mendel type reduction method for Interval Type-2 Fuzzy PID controllers. In Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE. Institute of Electrical and Electronics Engineers Inc. 2014. p. 619-625. 6891832. (IEEE International Conference on Fuzzy Systems). doi: 10.1109/FUZZ-IEEE.2014.6891832

Boundary function based Karnik-Mendel type reduction method for Interval Type-2 Fuzzy PID controllers

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