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Slides for Fuzzy Sets, Ch. 2 of Neuro-Fuzzy and Soft Computing

Slides for Fuzzy Sets, Ch. 2 of Neuro-Fuzzy and Soft Computing

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<strong>Neuro</strong>-<strong>Fuzzy</strong> <strong>and</strong> S<strong>of</strong>t <strong>Computing</strong>: <strong>Fuzzy</strong> <strong>Sets</strong><br />

System Identification: Introduction<br />

The data set composed <strong>of</strong> m desired input-output pairs (u i<br />

;y i<br />

)<br />

(i = 1,…,m) is called the training data<br />

System identification needs to do both structure & parameter<br />

identification repeatedly until satisfactory model is found: it<br />

does this as follows:<br />

1) Specify & parameterize a class <strong>of</strong> mathematical models<br />

representing the system to be identified<br />

2) Per<strong>for</strong>m parameter identification to choose the parameters that best<br />

fit the training data set<br />

3) Conduct validation set to see if the model identified responds<br />

correctly to an unseen data set<br />

10<br />

4) Terminate the procedure once the results <strong>of</strong> the validation test are<br />

satisfactory. Otherwise, another class <strong>of</strong> model is selected <strong>and</strong><br />

repeat steps 2 to 4

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