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

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SUMMARY

The open loop transfer function is defined as KG(s)H(s), where G(s) represents the forward path gain and H(s) denotes the feedback gain. Despite the term "open loop" suggesting the absence of feedback, H(s) is included as it represents the feedback path gain that will be utilized once the loop is closed. The expression G(s)H(s) serves as the open loop path gain of the difference signal intended for feedback integration. Therefore, even in an open loop configuration, the feedback gain is essential for understanding the system's behavior.

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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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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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