Bu
çalışmada, Aralık değerli tip-2 bulanık PID (ADT2-BPID) kontrolörlerin
içyapıları incelenmiş olup ve de yeni bir öz-ayarlama önerilmiştir. Bu amaçla
ilk olarak geleneksel yani tip-1 bulanık PID (T1-BPID) kontrolörler ile
ADT2-BPID kontrolörlerin yapısal özellikleri ve tasarım parametreleri
incelenmiştir. T1-BPID kontrolörler için önerilmiş olan bir öz-ayarlama yöntemi
olan fonksiyon tabanlı öz-ayarlama yöntemi ADT2-BPID kontrolör yapılarına
uygulanmıştır. Bu öz ayarlama yöntemi yardımıyla ADT2-BPID kontrolörün
ölçekleme çarpanlarının çevrimiçi ayarlanabileceği gösterilmiştir. Önerilen
öz-ayarlamalı ADT2-BPID tasarımında sırasıyla T1-BPID, ADT2-BPID kontrolörleri
tasarlanmıştır. Benzetim çalışmasında önerilen öz-ayarlamalı yapı tip-1 ve
aralık değerli tip-2 eşdeğerleriyle doğrusal olmayan bir konik tank sistemi
üzerinde karşılaştırılmıştır. Önerilen öz ayarlamalı ADT2-BPID kontrolör yapısı
ile hem ADT2-BPID kontrolör içyapısından gelen fazladan serbestlik derecesi hem
de fonksiyon ayarlayıcı tabanlı öz ayarlama yöntemi sayesinde tip-1 bulanık ve
tip-2 bulanık eşdeğerlerine kıyasla daha iyi sonuçlar vermiştir.
Galichet S, Foulloy L. “Fuzzy controllers: synthesis and equivalences”. IEEE Transactions on Fuzzy Systems, 3(2), 140–148, 1995.
Huang TT, Chung HY, Lin JJ. “A fuzzy PID controller being like parameter varying PID”. IEEE International Conference on Fuzzy Systems, Seul, South Korea, 22-25 August 1999.
Qiao WZ, Mizumoto M. “PID type fuzzy controller and parameters adaptive method”. Fuzzy Sets and Systems, 78(1), 23–35, 1996.
Li HX, Gatland HB. “Conventional fuzzy control and its enhancement”. IEEE Transactions on Systems, Man and Cybernetics Part B, 26(5), 791–797, 1996.
Duan XG, Li HX, Deng H. “Effective tuning method for fuzzy PID with internal model control”. Industrial & Engineering Chemistry Research, 47, 8317–8323, 2008.
Hu B, Mann GKI, Gasine RG. “New methodology for analytical and optimal design of fuzzy PID controllers”. IEEE Transactions on Fuzzy Systems, 7(5), 521–539, 1999.
Mudi RK, Pal NR. “A robust self-tuning scheme for PI- and PD-type fuzzy controllers”. IEEE Transactions on Fuzzy Systems, 7(1), 2–16, 1999.
Woo ZW, Chung HY, Lin JJ. “A PID-type fuzzy controller with self-tuning scaling factors”. Fuzzy Sets and Systems, 115, 321–326, 2000.
Ahn KK, Truong DQ. “Online tuning fuzzy PID controller using robust extended Kalman filter”. Journal of Process Control, 19, 1011–1023, 2009.
Karasakal O, Guzelkaya M, Eksin I, Yesil E, Kumbasar T. “Online tuning of fuzzy PID controllers via rule weighting based on normalized acceleration”. Engineering Applications of Artificial Intelligence, 26(1), 184-197, 2013.
Wu D, Tan WW. “Interval Type-2 Fuzzy PI Controllers: Why They Are More Robust”. IEEE International Conference on Granular Computing, San Jose, USA, 14-16 August 2010.
Wu D. “On the Fundamental Differences between Type-1 and Interval Type-2 Fuzzy Logic Controllers”. IEEE Transactions on Fuzzy Systems, 20(5), 832–848, 2012.
Hagras H. “A Hierarchical Type-2 Fuzzy Logic Control Architecture for Autonomous Mobile Robots”. IEEE Transactions on Fuzzy Systems, 12(4), 524–539, 2004.
Kumbasar T. “A simple design method for interval type-2 fuzzy PID controllers”. Soft Computing, 18(7), 1293–1304, 2014.
Yesil E. “Interval type-2 fuzzy PID load frequency controller using Big Bang-Big Crunch optimization”. Applied Soft Computing, 15, 100–112, 2014.
Kumbasar T, Hagras H. “Big Bang–Big Crunch optimization based interval type-2 fuzzy PID cascade controller design strategy”. Information Sciences, 282, 277–295, 2014.
Kumbasar T, Hagras H. An Overview on Interval Type-2 Fuzzy PID Controllers. Editors: Kacprzyk J, W. Pedrycz W. Handbook of Computational Intelligence, 285-293, Berlin, Germany, Springer-Verlag, 2015.
Castillo O, Melin P. Type-2 Fuzzy Logic Theory and Applications, Berlin, Germany, Springer-Verlag, 2008.
Kumbasar T, Hagras H. “A Self-Tuning zSlices based General Type-2 Fuzzy PI Controller“. IEEE Transactions on Fuzzy Systems, 23(4), 991-1013, 2015.
Kumbasar T, Hagras H. “A Gradient Descent Based Online Tuning Mechanism for PI Type Single Input Interval Type-2 Fuzzy Logic Controllers”. IEEE International Conference on Fuzzy Systems, Istanbul, Turkey, 2-5 August 2015.
Liang Q, Mendel JM. “Interval type-2 fuzzy logic systems: theory and design”. IEEE Transactions on Fuzzy Systems, 8(5), 535–550, 2000.
Taskin A, Kumbasar T. “An open source Matlab/Simulink Toolbox for Interval Type-2 Fuzzy Logic Systems”. IEEE Symposium Series on Computational Intelligence, Cape Town, South Africa, 7-10 December 2015.
Interval type-2 fuzzy PID controllers and an online self-tuning mechanism
In
this study, the general structure of interval type-2 fuzzy PID (IT2-FPID)
controllers and a self-tuning mechanism for IT2-FPID controller is presented.
In this context, we will present and examine the controller structures of the
type-1 fuzzy PID (T1-FPID) and IT2-FPID controllers on a generic a symmetrical
3x3 rule base. Then, an online self-tuning mechanism for IT2-FPID controllers
is presented. The presented self-tuning mechanism, which was firstly presented
for T1-FPID, controllers, tunes the scaling factors of IT2-FPID with respect to
the current error value of the control system. A systematic design approach has been also presented for the self-tuning
IT2-FPID structure. The performance of the T1-FPID, IT2-FPID and Self-Tuning
IT2-FPID structures has been investigated on a simulation study conducted on a
nonlinear tank system. The results have shown that, since the proposed approach
has more extra degree of freedom provided by its interval type-2 fuzzy sets and
self-tuning mechanism, the self-tuning IT2FPID resulted with a superior control
performance in comparison with its type-1 and interval type-2 counterparts.
Galichet S, Foulloy L. “Fuzzy controllers: synthesis and equivalences”. IEEE Transactions on Fuzzy Systems, 3(2), 140–148, 1995.
Huang TT, Chung HY, Lin JJ. “A fuzzy PID controller being like parameter varying PID”. IEEE International Conference on Fuzzy Systems, Seul, South Korea, 22-25 August 1999.
Qiao WZ, Mizumoto M. “PID type fuzzy controller and parameters adaptive method”. Fuzzy Sets and Systems, 78(1), 23–35, 1996.
Li HX, Gatland HB. “Conventional fuzzy control and its enhancement”. IEEE Transactions on Systems, Man and Cybernetics Part B, 26(5), 791–797, 1996.
Duan XG, Li HX, Deng H. “Effective tuning method for fuzzy PID with internal model control”. Industrial & Engineering Chemistry Research, 47, 8317–8323, 2008.
Hu B, Mann GKI, Gasine RG. “New methodology for analytical and optimal design of fuzzy PID controllers”. IEEE Transactions on Fuzzy Systems, 7(5), 521–539, 1999.
Mudi RK, Pal NR. “A robust self-tuning scheme for PI- and PD-type fuzzy controllers”. IEEE Transactions on Fuzzy Systems, 7(1), 2–16, 1999.
Woo ZW, Chung HY, Lin JJ. “A PID-type fuzzy controller with self-tuning scaling factors”. Fuzzy Sets and Systems, 115, 321–326, 2000.
Ahn KK, Truong DQ. “Online tuning fuzzy PID controller using robust extended Kalman filter”. Journal of Process Control, 19, 1011–1023, 2009.
Karasakal O, Guzelkaya M, Eksin I, Yesil E, Kumbasar T. “Online tuning of fuzzy PID controllers via rule weighting based on normalized acceleration”. Engineering Applications of Artificial Intelligence, 26(1), 184-197, 2013.
Wu D, Tan WW. “Interval Type-2 Fuzzy PI Controllers: Why They Are More Robust”. IEEE International Conference on Granular Computing, San Jose, USA, 14-16 August 2010.
Wu D. “On the Fundamental Differences between Type-1 and Interval Type-2 Fuzzy Logic Controllers”. IEEE Transactions on Fuzzy Systems, 20(5), 832–848, 2012.
Hagras H. “A Hierarchical Type-2 Fuzzy Logic Control Architecture for Autonomous Mobile Robots”. IEEE Transactions on Fuzzy Systems, 12(4), 524–539, 2004.
Kumbasar T. “A simple design method for interval type-2 fuzzy PID controllers”. Soft Computing, 18(7), 1293–1304, 2014.
Yesil E. “Interval type-2 fuzzy PID load frequency controller using Big Bang-Big Crunch optimization”. Applied Soft Computing, 15, 100–112, 2014.
Kumbasar T, Hagras H. “Big Bang–Big Crunch optimization based interval type-2 fuzzy PID cascade controller design strategy”. Information Sciences, 282, 277–295, 2014.
Kumbasar T, Hagras H. An Overview on Interval Type-2 Fuzzy PID Controllers. Editors: Kacprzyk J, W. Pedrycz W. Handbook of Computational Intelligence, 285-293, Berlin, Germany, Springer-Verlag, 2015.
Castillo O, Melin P. Type-2 Fuzzy Logic Theory and Applications, Berlin, Germany, Springer-Verlag, 2008.
Kumbasar T, Hagras H. “A Self-Tuning zSlices based General Type-2 Fuzzy PI Controller“. IEEE Transactions on Fuzzy Systems, 23(4), 991-1013, 2015.
Kumbasar T, Hagras H. “A Gradient Descent Based Online Tuning Mechanism for PI Type Single Input Interval Type-2 Fuzzy Logic Controllers”. IEEE International Conference on Fuzzy Systems, Istanbul, Turkey, 2-5 August 2015.
Liang Q, Mendel JM. “Interval type-2 fuzzy logic systems: theory and design”. IEEE Transactions on Fuzzy Systems, 8(5), 535–550, 2000.
Taskin A, Kumbasar T. “An open source Matlab/Simulink Toolbox for Interval Type-2 Fuzzy Logic Systems”. IEEE Symposium Series on Computational Intelligence, Cape Town, South Africa, 7-10 December 2015.
Kumbasar, T. (2016). Aralık değerli tip-2 bulanık PID kontrolörler ve bir çevrimiçi öz-ayarlama mekanizması. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 22(8), 643-649.
AMA
Kumbasar T. Aralık değerli tip-2 bulanık PID kontrolörler ve bir çevrimiçi öz-ayarlama mekanizması. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. Aralık 2016;22(8):643-649.
Chicago
Kumbasar, Tufan. “Aralık değerli Tip-2 bulanık PID kontrolörler Ve Bir çevrimiçi öz-Ayarlama Mekanizması”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 22, sy. 8 (Aralık 2016): 643-49.
EndNote
Kumbasar T (01 Aralık 2016) Aralık değerli tip-2 bulanık PID kontrolörler ve bir çevrimiçi öz-ayarlama mekanizması. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 22 8 643–649.
IEEE
T. Kumbasar, “Aralık değerli tip-2 bulanık PID kontrolörler ve bir çevrimiçi öz-ayarlama mekanizması”, Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 22, sy. 8, ss. 643–649, 2016.
ISNAD
Kumbasar, Tufan. “Aralık değerli Tip-2 bulanık PID kontrolörler Ve Bir çevrimiçi öz-Ayarlama Mekanizması”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 22/8 (Aralık 2016), 643-649.
JAMA
Kumbasar T. Aralık değerli tip-2 bulanık PID kontrolörler ve bir çevrimiçi öz-ayarlama mekanizması. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2016;22:643–649.
MLA
Kumbasar, Tufan. “Aralık değerli Tip-2 bulanık PID kontrolörler Ve Bir çevrimiçi öz-Ayarlama Mekanizması”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 22, sy. 8, 2016, ss. 643-9.
Vancouver
Kumbasar T. Aralık değerli tip-2 bulanık PID kontrolörler ve bir çevrimiçi öz-ayarlama mekanizması. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2016;22(8):643-9.