A First Course in FUZZY and NEURAL CONTROL

232 CHAPTER 7. FUZZY-NEURAL AND NEURAL-FUZZY CONTROL The derived training set consists of input-output pairs(Ai,Bi).ForaMIMO fuz ...

7.2. BASIC PRINCIPLES OF FUZZY-NEURAL SYSTEMS 233 Wecanworkwithafinite number of membership values by taking positive integersM≥ ...

234 CHAPTER 7. FUZZY-NEURAL AND NEURAL-FUZZY CONTROL -1^01 u Fuzzy sets negative(dots),about zero (solid), and positive (dashed) ...

7.2. BASIC PRINCIPLES OF FUZZY-NEURAL SYSTEMS 235 Figure 7.2. Standard neuron to the neuron. The neuron uses its transfer functi ...

236 CHAPTER 7. FUZZY-NEURAL AND NEURAL-FUZZY CONTROL of the neuron. IfT=minandS=max,then the AND neuron realizes the max-min com ...

7.3. BASIC PRINCIPLES OF NEURAL-FUZZY SYSTEMS 237 represent a fuzzy system in terms of a neural network is to utilize the learni ...

238 CHAPTER 7. FUZZY-NEURAL AND NEURAL-FUZZY CONTROL Figure 7.5. First-order Sugeno fuzzy model with two rules The fuzzy neurons ...

7.3. BASIC PRINCIPLES OF NEURAL-FUZZY SYSTEMS 239 It is important to keep in mind that when we develop a set of prototype fuzzy ...

240 CHAPTER 7. FUZZY-NEURAL AND NEURAL-FUZZY CONTROL Example 7.4We illustrate the above tuning process by a simplified example. ...

7.3. BASIC PRINCIPLES OF NEURAL-FUZZY SYSTEMS 241 the domain ofA 1 andA 2. The weight adjustments in this case become zi(t+1) = ...

242 CHAPTER 7. FUZZY-NEURAL AND NEURAL-FUZZY CONTROL capability of ANFIS. However, in real-world applications where the control ...

7.3. BASIC PRINCIPLES OF NEURAL-FUZZY SYSTEMS 243 ïChoose Load Data; browse and selectsinxsiny.dat. ïChoose Generate FIS. This b ...

244 CHAPTER 7. FUZZY-NEURAL AND NEURAL-FUZZY CONTROL This is not a very good approximation to our function. We can test the effe ...

7.4. GENERATING FUZZY RULES 245 ïIn the ANFIS Editor, under ANFIS Info, choose Structure. This shows the structure of the adapti ...

246 CHAPTER 7. FUZZY-NEURAL AND NEURAL-FUZZY CONTROL be implemented by some kind of clustering. Clustering using neural networks ...

7.5. EXERCISES AND PROJECTS 247 A nonlinear plant is governed by the following difference equation y(k+1)=0. 3 y(k)+0.6[y(k−1) ...

248 CHAPTER 7. FUZZY-NEURAL AND NEURAL-FUZZY CONTROL -1 -2 2 1 -2 (^12) 0 1 2 3 4 z ANFIS info: Number of nodes: 21 Number of li ...

Chapter 8 APPLICATIONS In this chapter, we describe some industrial applications of fuzzy control, neural control, neural-fuzzy ...

250 CHAPTER 8. APPLICATIONS are many applications to the wide area of pattern recognition, and applications to areas that involv ...

8.2. COOLING SCHEME FOR LASER MATERIALS 251 In a practical situation, the thermalmodeling of a laser medium is a tedious and cum ...