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NEURO-FUZZY MODELING FOR DYNAMIC SYSTEM
IDENTIFICATION
JYH-SHING ROGER JANG
CS Dept., Tsing Hua Univeristy, Hsinchu, Taiwan
This paper presents the continued work of a previously proposed ANFIS (Adaptive
Neuro-Fuzzy b z z y Inference System) architecture with emphasis on the applica-
tions to dynamic system identification. We demonstrate the use of ANFIS for the
hair dryer modeling problem and compare its performance with the ARX model.
1 Introduction
System identificatiod is the process of constructing a model to predict the
behavior of a target system. Conventional system identification techniques are
mostly based on linear models with fast computation and rigorous mathemat-
ical support. On the other hand, neuro-fuzzy modeling represents nonlinear
identification techniques that require massive computation but without math-
ematical proofs of convergence to global minimaor the like. This paper applies
two representative approaches (ANFIS and ARX) from both disciplines and
compare their performance on a classic system identification problem of hair
dryer modeling!.
This paper is organized into five sections. In the next section, the basics
of ANFIS are briefly introduced. Section 3 explains the problem of hair dryer
modeling and how to use the ARX model to find a linear model. Section 4
exhibits the use of ANFIS for the same problem and compare the results with
the ARX model. Section 5 gives concluding remarks.
2 ANFIS
A first-order Sugeno fuzzy inference system? with two fuzzy rules can be ex-
pressed as
Rule 1: If X is AI and Y is B1, then fl =p l z + q1y + TI,
Rule 2: If X is A2 and Y is B2,then fz =pax + qzy + rz
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