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A simplified form of the open loop transfer function of a chemical process as shown in...

A simplified form of the open loop transfer function of a chemical process as shown
in Figure 4 is
?(?) =
1/
?(? + 3)(?2 + 2? + 2)
where ?(?) = 1.
i. Construct the root locus.

(5 marks)
ii. From the root locus in (a), show the range of gain ? at the root loci so that the
system will stable. Discuss your answer.

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Answer #1

Gesla s (S13) (3 + 25+ 1 HIS) K O -3 Ku (S) H(S) - S(S13) (52+25+23 is open loof boles S²+25+2=0 S - - 1 té iné Asymptotic Ancentroid- real part of p - Ereal part of 2 hamber of (P-2) 0-3 -1 - 1-0 -1.25 4 peane 1-1.25 -1 I + k hl) HIS). O s(s+3) is 2

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