Proper transfer function: Difference between revisions

Revision as of 10:56, 14 December 2004

Revision as of 18:01, 16 December 2004

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== Proper in control theory ==

#REDIRECT [[PROPER]]

'''Proper''' denotes a transfer function where the degree of the nominator does not exceed the degree of the denominator.

=== Example ===

The following transfer function is proper

:<math> \textbf{G}(s) = \frac{\textbf{N}(s)}{\textbf{D}(s)} = \frac{s^{4} + n_{1}s^{3} + n_{2}s^{2} + n_{3}s + n_{4}}{s^{4} + d_{1}s^{3} + d_{2}s^{2} + d_{3}s + d_{4}}</math>

because

:<math> deg(\textbf{N}(s)) = 4 \leq deg(\textbf{D}(s)) = 4 </math>.

== Other possible meanings ==

#REDIRECT [[PROPER]]

[[Category:Control theory]]