Consider the following open-loop transfer functions, where G(s) = Y(s)/U(s). Y(s) is the Laplace transform of the
Question:
Consider the following open-loop transfer functions, where G(s) = Y(s)/U(s). Y(s) is the Laplace transform of the output, and U(s) is the Laplace transform of the input control signal:
i.
ii.
iii.
iv.
v.
For each of these transfer functions, do the following:
a. Draw the signal-flow graph in phase-variable form.
b. Add state-variable feedback to the signal-flow graph.
c. For each closed-loop signal-flow graph, write the state equations.
d. Write, by inspection, the closed-loop transfer function, T(s), for your closed-loop signal-flow graphs.
e. Verify your answers for T(s) by finding the closed loop transfer functions from the state equations and Eq. (3.73).
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