Question

Example 8 ? Find the closed-loop transfer function of the two-loop feedback system in Fig 1. Also express the damping ratio and the un-damped natural frequency of the closed-loop system in terms of the gains $a_0$ and $a_1$. Figure 1 Equivalent block diagrams

          Example 8 ? Find the closed-loop transfer function
of the two-loop feedback system in Fig 1. Also
express the damping ratio and the un-damped
natural frequency of the closed-loop system in
terms of the gains $a_0$ and $a_1$.
Figure 1
Equivalent block diagrams

Example 8 ? Find the closed-loop transfer function
of the two-loop feedback system in Fig 1. Also
express the damping ratio and the un-damped
natural frequency of the closed-loop system in
terms of the gains a0 and a1.
Figure 1
Equivalent block diagrams

Added by Eric O.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Dharmendra Maheshwari

Step 1

From the given diagram, we can see that the transfer function of block (a) is 1/s(s+a), and the transfer function of block (b) is 1. Show more…

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Y(s) - Example 8 -> Find the closed-loop transfer function of the two-loop feedback system in Fig l. Also express the damping ratio and the un-damped natural frequency of the closed-loop system in terms of the gains a0 and al. Figure 1 W(s) Y(s) U(s) V(s) W(s) (a) (b) U(s) Y(s) U(s) Y(s) s(s+a) s2 + as + a uo (d) (c) Equivalent block diagrams