Question

Number 2 (Root Locus - Compensator) The diagram below shows a system with one pole at $s = -3$. a. What is the total phase at $s_0 = -4.2 + j1$? b. Now you are asked to apply a compensator with one additional zero and one additional pole, $D(s) = K (s + z)/(s + p)$. Put $p$ and $z$ somewhere on the real axis, so that the phase at $s_0$ will be 180°.

          Number 2 (Root Locus - Compensator)
The diagram below shows a system with one pole at $s = -3$.
a. What is the total phase at $s_0 = -4.2 + j1$?
b. Now you are asked to apply a compensator with one additional zero and one additional pole,
$D(s) = K (s + z)/(s + p)$. Put $p$ and $z$ somewhere on the real axis, so that the phase at $s_0$ will be
180°.

Number 2 (Root Locus - Compensator)
The diagram below shows a system with one pole at s = -3.
a. What is the total phase at s0 = -4.2 + j1?
b. Now you are asked to apply a compensator with one additional zero and one additional pole,
D(s) = K (s + z)/(s + p). Put p and z somewhere on the real axis, so that the phase at s0 will be
180°.

Added by Alexis K.

Engineering Mathematics

Stroud, K. A. Booth, Dexter J. 7th Edition

Chapter 15

Instant Answer

Solved by Expert Adi S

09/15/2023

Step 1

2+j1, we need to find the angle of the transfer function at that point. The transfer function is given by H(s) = 1/(s+3). Show more…

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Number 2 (Root Locus - Compensator) The diagram below shows a system with one pole at s = -3. a. What is the total phase at s0 = -4.2 + j1? b. Now you are asked to apply a compensator with one additional zero and one additional pole, D(s) = K(s + z)/(s + p). Put p and z somewhere on the real axis, so that the phase at s0 will be 180°.