Fuzzy Control and Identification by Lilly John H

Author:Lilly, John H.
Language: eng
Format: epub
Publisher: John Wiley & Sons, Inc.
Published: 2011-03-07T16:00:00+00:00

where , , ,

Let the fuzzy sets , , , and be characterized by the Gaussian membership functions shown in Figures 6.1 and 6.2. Then for an arbitrary input (x1, x2) and product T-norm, the premise values for the above four rules are calculated as in (6.6).

If we consider a particular instant of time k1 at which x1(k1) = 0.4 and x2(k1) = −0.8, the instantaneous fuzzy basis function values are

Then the system at time k1 is described by the difference equation

where

and

To summarize, the system at time k1 is described by

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