Title :
Design and stability analysis of TSK-type full-scale fuzzy PID controllers
Author :
Kim, Jinwook ; Choi, Oh-Kyu ; Lee, Jin S.
Author_Institution :
Res. Inst. of Ind. Sci. & Technol., Pohang, South Korea
Abstract :
In this paper, we present the design and stability analysis of Takagi-Sugeno-Kang (TSK)-type full-scale fuzzy proportional-integral-derivative (PID) controller. We reveal the analytical structure of a TSK-type full-scale fuzzy PID controller relative to the conventional PID controller. This controller consists of two input fuzzy sets for each of the three input variables, singleton fuzzifier, center average defuzzifier and the MIN operator for the AND operation. We prove that this type of fuzzy controller is actually a nonlinear PID controller with the variable gains. Then, we present BIBO stability analysis of TSK-type full-scale fuzzy PID controller using Small-Gain Theorem.
Keywords :
control system synthesis; fuzzy control; fuzzy set theory; nonlinear control systems; pattern classification; stability; three-term control; AND operation; BIBO stability analysis; MIN operator; TSK-type full-scale fuzzy PID controller design; Takagi-Sugeno-Kang controller; center average defuzzifier; fuzzy set theory; nonlinear PID controller; proportional-integral-derivative controller; singleton fuzzifier; small gain theorem; Acceleration; Electronic mail; Error analysis; Fuzzy sets; Input variables; PD control; Stability analysis;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2012 IEEE International Conference on
Conference_Location :
Brisbane, QLD
Print_ISBN :
978-1-4673-1507-4
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZ-IEEE.2012.6250836