Page 111 - Mathematical Techniques of Fractional Order Systems

Fractional Order System Chapter | 3 99

result that most model-reduction techniques do not ensure even for integer
order systems. As shown by some examples, in most cases the approximation
of the corresponding system component is not appreciably affected by the
requirement of steady-state retention, which only entails a usually small
increase of the reduced model order depending on the input complexity.
Future research directions along the same lines include: (1) the character-
ization of the transient output component in the response to suitable inputs;
(2) the synthesis of feedback controllers that ensure the desired asymptotic
behavior; and (3) the extension of the decomposition procedure to systems of
nonrational order.

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