Help with Root Locus: Get into General Form for Drawing

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The discussion focuses on designing a controller using root locus methods for a motor control system, specifically after initially using a deadbeat controller. The user is struggling with generating a root locus due to the feedback loop's gain affecting the system's zero. They seek a general form to facilitate drawing the root locus, as the introduction of a zero complicates the process. The challenge lies in the fact that varying the gain alters the zero's location, resulting in different root loci for each gain value. The conversation emphasizes the need for clarity on how to approach root locus generation in this context.
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I had to use state-variable feedback to design a control system for a motor. I first designed a deadbeat controller, which was pretty easy.
But now I have to design another controller using root locus methods.
The gain that is varied is located in the feedback loop as shown in the picture.
I am completely lost as to how to generate a root locus with the gain in the feedback loop.
Can anybody give me a general form to get into so I can draw the root locus?
 

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The problem I am having is that when H(s) and G(s) are multiplied together, a zero is introduced because of the feedback loop. The location of this zero changes as the gain changes. So the gain cannot be varied without moving the zero. Thus every value of gain produces a different root locus.
 
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