Closed-loop transfer function: Difference between revisions

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A '''closed-loop transfer function''' in [[control theory]] is a mathematical expression ([[algorithm]]) describing the net result of the effects of a closed ([[feedback]]) [[loop (telecommunication)|loop]] on the input [[signal (information theory)|signal]] to the circuits enclosed by the loop.

I don't know what to say so i wrote this!

== Overview ==

The closed-loop [[transfer function]] is measured at the [[output]]. The output signal [[waveform]] can be calculated from the closed-loop transfer function and the input signal waveform.

An example of a closed-loop transfer function is shown below:

[[Image:Closed_Loop_Block_Diagram.png]]

The summing node and the ''G''(''s'') and ''H''(''s'') blocks can all be combined into one block, which would have the following transfer function:

: <math>\dfrac{Y(s)}{X(s)} = \dfrac{G(s)}{1 + G(s) H(s)}</math>

==Derivation==