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How can I continue to reduce this block diagram to a single-circuit diagram?

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task condition

What I’ve done so far

  1. Combined W₁ and Wₓ into an equivalent block W₁ₓ (second image).
    (second image)
  2. Moved the summing junction, then combined W₁ₓ in series with W₂ to form W₁ₓ·₂, combined (1/W₁ₓ) in series with W₄ to form W₄/W₁ₓ feedback around this new series connection (third image).(third image)
  3. The current reduced diagram is shown in the fourth image: I now have four remaining summing junctions (labelled 1, 2, 3, 4) and blocks W₁ₓ·₂, W₄/W₁ₓ, W₃, W₅, W₆(fourth image).(the fourth image and what I have after all the transformations)

My questions

  • Which junction should I tackle next, and how?
  • How can I move or collapse the remaining summing points without breaking the signal flows?
  • What order of combining W₁ₓ·₂, W₄/W₁ₓ, W₃, W₅, W₆, and transfers of summing junction will lead me to the final Wc_g(s) and Wc_f(s)?

I’d really appreciate a step-by-step outline of the next reduction steps starting from the diagram in the fourth image.


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