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Analysis and Design of Adaptive Fuzzy Systems
TRAINING OF FUZZY LOGIC SYSTEMS USING
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adaptive fuzzy controller adaptive fuzzy systems adaptive law adjust the parameter adjustable parameters approach approximation error artificial neural networks ball-and-beam system center average defuzzifier chaotic time series choose closed-loop system constraint sets constructed dashed line data pairs decision region defined desired value ym(t determine develop equation error FBF expansion first-type fuzzy identifier fuzzy adaptive filter fuzzy basis functions fuzzy control rules fuzzy identifier fuzzy IF-THEN rules fuzzy inference engine fuzzy logic systems fuzzy rule base fuzzy sets human experts identification model incorporate linguistic indirect adaptive fuzzy inference engine initial condition x(0 initial parameter-choosing method input linguistic descriptions linguistic information linguistic rules linguistic variable LMS fuzzy adaptive membership functions multilayer perceptron Narendra and Parthasarathy neural identifiers neural network nonlinear control theory nonlinear system numerical information optimal fuzzy logic output Parthasarathy 49 problem radial basis function RLS fuzzy Section shown in Figure Step supervisory control