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# Solving for Feedback Control Systems

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Find T(y/r), assuming a standard structure and algebraic quantities, find g and f to get tracking, T(y/r) E [0.98, 1.02] with pE[1,5].

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This solution is comprised of a step-by-step guide of how to approach and solve for this control systems question. This is all explained in about 200 words.

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a) Find TF(Y/R):

Input to block A: Call it X

X = {R - Y*(C+D)}

Now, Y = {AX + CY - X }*B

Y = {X(A-1) + CY}B

Y(1-BC) = (A-1)BX

Y(1-BC) = (A-1)B{R - Y*(C+D)}

Y {1-BC+B(A-1)(C+D)] = R*(A-1)B

TF: Y/R = ...

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