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Extra info for Design of Analog Fuzzy Logic Controllers in CMOS Technologies: Implementation, Test and Application

Example text

Two independent slopes can be programmed by setting the voltage sources Vs1 and Vs2 to the corresponding values. e. the 3. Analog Basic Building Blocks 47 Universe of Discourse). Cross-sums of the transconductors currents give rise to outputs Iout1 and Iout2. These, in turn, are sunk from the low-compliance cascoded diodes built by transistors Mp1_1-Mp2_1 and Mp1_2-Mp2_2, respectively. Mirror transistors should be employed to replicate the outputs as many times as the same CFMF is being shared by different rules of a Fuzzy Controller.

Beginning with the know-how provided by an expert the adaptation of the controller’s parameters is on-line performed under the supervision of a learning algorithm. After learning is accomplished, this methodology allows the expert to redefine or improve his knowledge regarding the process by extracting rules that are more accurate. Finally, regarding Takagi-Sugeno’s models, ANFIS [Jang92] provides a network representation of the Fuzzy System allowing the use of the gradient descent algorithm, the widespread adapting technique for Neural Networks.

E. e. to steer the vehicle). Therefore, it must be transformed into a crisp value by means of the so-called defuzzification operation. This will be presented later. In the more general case of n-input, m-output Fuzzy Controllers (MIMO controllers), a fuzzy rule looks like: 24 Chapter 2 The "and" connective operators in the antecedent part of the above rule must be interpreted as the intersection operations. Hence, any T-Norm operator can be used to evaluate this compound fuzzy proposition. 19).

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