# Feedback Control Systems and Block Diagram Algebra

1. Explain why high loop gain results in "good" tracking and disturbance rejection

2. Use block diagram reduction to find the transfer function from R1 to Y1 for the following system. (You can take all other external inputs to be zero).

See the attached file.

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#### Solution Preview

1. Let Gp = Plant

Gc = Controller (in the forward path)

H = Feedback

Gd = Disturbance

Let R = Input, Y = Output, D=Disturbance

Then Y/R = Gc*Gp/[1+Gc*Gp*H] = 1/[{1/GcGp} + H ] ...

#### Solution Summary

This solution contains calculations and answers regarding feedback control systems and block diagram algebra.

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