TY - GEN
T1 - A one to three input mapping IT2-FLC PID design strategy
AU - Kumbasar, Tufan
PY - 2013
Y1 - 2013
N2 - In this study, a single input interval type-2 fuzzy PID controller with a one to three inference mapping has been developed. Since it consists of a single input variable (the feedback error), a closed form formulation of the type-2 fuzzy controller output is possible. The closed form solution is derived in terms of the tuning parameters which are chosen as the heights of lower membership functions of the antecedent interval type-2 fuzzy sets. Then, a simple strategy is proposed for a process independent type-2 fuzzy PID controller design. The developed single input type-2 fuzzy controller structure preserves the most preferred features of the PID such as simplicity, independent gain tuning and easy implementation. The one to three input mapping type-2 fuzzy controller structure has been implemented on an experimental ball and beam system. The results illustrated that the proposed type-2 fuzzy controller produces superior control performance than a one-to-one inference mapping type-2 fuzzy and conventional controllers.
AB - In this study, a single input interval type-2 fuzzy PID controller with a one to three inference mapping has been developed. Since it consists of a single input variable (the feedback error), a closed form formulation of the type-2 fuzzy controller output is possible. The closed form solution is derived in terms of the tuning parameters which are chosen as the heights of lower membership functions of the antecedent interval type-2 fuzzy sets. Then, a simple strategy is proposed for a process independent type-2 fuzzy PID controller design. The developed single input type-2 fuzzy controller structure preserves the most preferred features of the PID such as simplicity, independent gain tuning and easy implementation. The one to three input mapping type-2 fuzzy controller structure has been implemented on an experimental ball and beam system. The results illustrated that the proposed type-2 fuzzy controller produces superior control performance than a one-to-one inference mapping type-2 fuzzy and conventional controllers.
KW - Control curve design
KW - Independent gain tuning
KW - Interval type-2 fuzzy logic controllers
KW - PID control
KW - Quanser ball and beam system
UR - http://www.scopus.com/inward/record.url?scp=84887836875&partnerID=8YFLogxK
U2 - 10.1109/FUZZ-IEEE.2013.6622338
DO - 10.1109/FUZZ-IEEE.2013.6622338
M3 - Conference contribution
AN - SCOPUS:84887836875
SN - 9781479900220
T3 - IEEE International Conference on Fuzzy Systems
BT - FUZZ-IEEE 2013 - 2013 IEEE International Conference on Fuzzy Systems
T2 - 2013 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2013
Y2 - 7 July 2013 through 10 July 2013
ER -