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    Feedback Control Systems and Block Diagram Algebra

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    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.