Abstract
For many practical problems of control engineering, it
is desirable to find a function, such as the impulse
response function or transfer function, for a system
for which one does not have an analytical model. The
finding of the function, in symbolic form, that
satisfies the requirements of the problem (rather than
merely finding a single point) is usually not possible
when one does not have an analytical model of the
system. This paper illustrates how the recently
developed genetic programming paradigm, can be used to
find an approximation to the impulse response, in
symbolic form, for a linear time-invariant system using
only the observed response of the system to a
particular known forcing function. The method
illustrated can then be applied to other problems in
control engineering that require the finding of a
function in symbolic form.
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