Equivalence between Fuzzy PID Controllers and Conventional PID Controllers

被引:33
作者
Chao, Chun-Tang [1 ]
Sutarna, Nana [1 ]
Chiou, Juing-Shian [1 ]
Wang, Chi-Jo [1 ]
机构
[1] Southern Taiwan Univ Sci & Technol, Dept Elect Engn, 1 Nan Tai St, Tainan 71005, Taiwan
来源
APPLIED SCIENCES-BASEL | 2017年 / 7卷 / 06期
关键词
equivalence; conventional PID controller; fuzzy logic PID controller;
D O I
10.3390/app7060513
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
This paper proposes the equivalence between fuzzy Proportional-Integral-Derivative (PID) controllers and conventional PID controllers. A well-designed conventional PID controller, with the help of the proposed method, can be rapidly transformed to an equivalent fuzzy logic controller (FLC) by observing and defining the operating ranges of the input/output of the controller. Furthermore, the knowledge base of the proposed equivalent fuzzy PID controller is represented as a cube fuzzy associative memory (FAM), instead of a combination of PD-type and PI-type FLCs in most research. Simulation results show the feasibility of the proposed technique, both in continuous and discrete time. Since the design techniques of conventional linear PID controllers have matured, they can act as preliminary expert knowledge for nonlinear FLCs designs. Based on the proposed equivalence relationship, the designer can further tune the membership functions of fuzzy variables in the control rules to exhibit the nonlinearity of a FLC and yield more satisfactory system responses in an efficient way.
引用
收藏
页数:12
相关论文
共 17 条
[1]  
[Anonymous], MODERN CONTROL ENG
[2]  
[Anonymous], 2012, INT J SIMULATION SYS
[3]   A PD-like self-tuning fuzzy controller without steady-state error [J].
Chao, CT ;
Teng, CC .
FUZZY SETS AND SYSTEMS, 1997, 87 (02) :141-154
[4]   A PSO-based adaptive fuzzy PID-controllers [J].
Chiou, Juing-Shian ;
Tsai, Shun-Hung ;
Liu, Ming-Tang .
SIMULATION MODELLING PRACTICE AND THEORY, 2012, 26 :49-59
[5]   A systematic study of fuzzy PID controllers - Function-based evaluation approach [J].
Hu, BG ;
Mann, GKI ;
Gosine, RG .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2001, 9 (05) :699-712
[6]  
Kang CS, 2013, INT CONF UBIQ ROBOT, P354, DOI 10.1109/URAI.2013.6677385
[7]   The equivalence between fuzzy logic systems and feedforward neural networks [J].
Li, HX ;
Chen, CLP .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2000, 11 (02) :356-365
[8]   EXPERIMENT IN LINGUISTIC SYNTHESIS WITH A FUZZY LOGIC CONTROLLER [J].
MAMDANI, EH ;
ASSILIAN, S .
INTERNATIONAL JOURNAL OF MAN-MACHINE STUDIES, 1975, 7 (01) :1-13
[9]  
Manikandan R, 2015, 2015 INTERNATIONAL CONFERENCE ON CONTROL, INSTRUMENTATION, COMMUNICATION AND COMPUTATIONAL TECHNOLOGIES (ICCICCT), P356, DOI 10.1109/ICCICCT.2015.7475304
[10]   Analysis of direct action fuzzy PID controller structures [J].
Mann, GKI ;
Hu, BG ;
Gosine, RG .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 1999, 29 (03) :371-388