Question

Q9. The open-loop transfer function, G(s), of a system in the forward path of aunity negative feedback control system is \frac{K(S + 2)}{S(S - 2)} (a)Construct the Root-locus diagram using MATLAB. (b)Construct the root-locus diagram manually and show that the loci of complex closed-loop poles are part of a circle with (-1, 0) as centre and radius of \sqrt{2}.

          Q9. The open-loop transfer function, G(s), of a system in the forward path of
aunity negative feedback control system is
\frac{K(S + 2)}{S(S - 2)}
(a)Construct the Root-locus diagram using MATLAB.
(b)Construct the root-locus diagram manually and show that the loci of
complex closed-loop poles are part of a circle with (-1, 0) as centre and
radius of \sqrt{2}.

Q9. The open-loop transfer function, G(s), of a system in the forward path of
aunity negative feedback control system is
(K(S + 2))/(S(S - 2))
(a)Construct the Root-locus diagram using MATLAB.
(b)Construct the root-locus diagram manually and show that the loci of
complex closed-loop poles are part of a circle with (-1, 0) as centre and
radius of √(2).

Added by Tiffany C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Geeta Yadav

Step 1

Therefore, the poles of G(s) are: s = 0, -2, -j, j The zeros of G(s) are the values of s that make the numerator of G(s) equal to zero. Therefore, the zero of G(s) is: s = -2/K Show more…

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Construct root locus manually with graphs. Q9. The open-loop transfer function, G(s), of a system in the forward path of a unity negative feedback control system is K(S + 2) / S(S + 2). (a) Construct the Root-locus diagram using MATLAB. (b) Construct the root-locus diagram manually and show that the loci of complex closed-loop poles are part of a circle with (-1, 0) as the center and a radius of âˆš2.