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

fYear

2012

fDate

10-15 June 2012

Firstpage

1

Lastpage

8

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ-IEEE), 2012 IEEE International Conference on

Conference_Location

Brisbane, QLD

ISSN

1098-7584

Print_ISBN

978-1-4673-1507-4

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZ-IEEE.2012.6250836

Filename

6250836