Transparent Fuzzy Systems – Modeling and Control

Riid A.

This thesis thoroughly investigates the issues related to transparency. Fuzzy systems are generally divided into two classes. It is shown here that for these classes different definitions of transparency apply. For standard fuzzy systems that use fuzzy propositions in EF-THEX rules, explicit transparency constraints have been derived. Based on these constraints, exploitation/modification schemes of existing identification algorithms are suggested, moreover, a new algorithm for training standard fuzzy systems has been proposed, with a considerable potential to reduce the gap between accuracy and transparency in fuzzy modeling. For 1st order Takagi-Sugeno systems that are interpreted in terms of local linear models, such conditions cannot be derived due to system architecture and its undesirable interpolation properties of 1st order TS systems. It is. however, possible to solve the transparency preservation problem in the context of modeling with another proposed method that benefits from rale activation degree exponents.

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Table of contents :
Thus, the variable-to-rule mapping matrix (2.31) appears as……Page 31
It is possible to depict this fuzzy system as a network structure (Fig. 2.9). Each layer of the network represents the respective step of the inference algorithm. In fuzzification/proposition matching layer the input membership function parameters are st……Page 32
A special case of the consequent function where the offset p0r = 0, r = 1…R results in homogeneous TS system. Another and particularly interesting special case of TS systems is obtained if the consequent function is a constant ((pir = 0, i =1…N, r = 1……Page 35
Fig. 3.10. The projection of input-output relation onto the input space of two input/single output TS system…….Page 54
thpr5.pdf……Page 0
Andri Riid……Page 5
Symbols and abbreviations..………………………………………….Page 9
Appendix D ……………………………………………………………..Page 10
Today, there exists a variety of fuzzy controllers in diverse application areas such as process control, transportation control, robotics, medicine, financial engineering etc. (Tsoukalas and Uhrig 1997). The traditional classification (Lee 1990) of fuzzy……Page 115
RMSE……Page 106
Fuzzy model……Page 165
Controller design……Page 167
Control system……Page 168
zero……Page 169
Modeling the process……Page 171
R……Page 175
Supervisor design……Page 177
Control results……Page 179
Abbreviations……Page 204
System with symmetrical output MFs……Page 212