Abstract
It is possible to find integer transfer functions that approximate the dynamic behaviour of a given fractional transfer function. Such approximations are useful for two reasons. Firstly, while there are numerical methods to solve fractional differential equations, those for differential equations with integer orders only are better known and it may be desirable to use software where these methods are the sole implemented or where they are implemented with a better support. Secondly, hardware implementations of fractional controllers are possible, but it is often easier and cheaper to implement in hardware integer transfer functions only.
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