Why Does the Open Loop Transfer Function Include H(s)?

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The open loop transfer function is expressed as KG(s)H(s), where G(s) represents the forward path gain and H(s) denotes the feedback gain. Although the definition of an open loop system suggests the absence of feedback, H(s) is included to represent the feedback path's influence on the overall system dynamics. This inclusion allows for the calculation of the open loop gain of the difference signal intended for feedback. The signal is amplified by G(s)H(s) before feedback is applied. Therefore, H(s) is essential for understanding the system's behavior even in an open loop context.
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In many books i saw that open loop transfer function is given by KG(s)H(s) , where G(s) is forward path gain and H(s) is the feedback gain. But according to the definition of open loop it does not contain feedback , then why there is a term of H(s) ?


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http://en.wikibooks.org/wiki/Control_Systems/Stability
 
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G(s).H(s) is the full path gain of the loop you will use for feedback. Or to put it another way, it is the open loop path gain of the difference signal that you intend to connect in as feedback. Until you close the loop there is no feedback, so by definition G(s).H(s) must be some sort of OPEN LOOP gain.

The difference signal, v(in) - v(f), will be amplified by G(s).H(s) and added to v(in). But until we close the loop there is no feedback, so you have a signal vf(s) = G(s).H(s).vin(s)
 
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