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Designs and analyses of various fuzzy controllers with region‐wise linear PID subcontrollers
Author(s) -
Tao C. W.
Publication year - 2001
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.1066
Subject(s) - pid controller , control theory (sociology) , fuzzy logic , defuzzification , fuzzy control system , fuzzy number , fuzzy set operations , computer science , nonlinear system , mathematics , neuro fuzzy , fuzzy set , control engineering , control (management) , artificial intelligence , engineering , temperature control , physics , quantum mechanics
To reduce the complexity of PID‐like fuzzy controllers with three inputs, designs and analyses of various fuzzy controllers with region‐wise linear PID subcontrollers are presented in this paper. The proposed region‐wise linear PID subcontrollers are composed of one dimensional fuzzy mechanism. And the triangular‐type membership functions are adopted for the input variables of the fuzzy controllers. All the possible structures of fuzzy controllers with region‐wise linear PID subcontrollers are discussed. According to the number of one‐dimensional fuzzy mechanisms included in the structure of the fuzzy controllers, the fuzzy controllers are classified into three main categories. An algorithm is provided to construct effective fuzzy controllers with lowest complexity among all the possible structures. Also, the properties of various designs of fuzzy controllers with region‐wise linear PID subcontrollers are compared. The simulation results are included to demonstrate the performances of three basic types of proposed fuzzy controllers with the linear, nonlinear, and delayed plants. © 2001 John Wiley & Sons, Inc.