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(b) Using Routh-Hurwitz criterion determine the relation between K and T so that unity feedback control system whose open loop transfer function given below is stable. K G(s) = s[s(s + 10) + T] Also determine the modified relation between K and T if all the roots of characteristic equation are to lie to the left of the line s = -1 in the s-plane.

(b) Using Routh-Hurwitz criterion determine the relation between K and T so that unity feedback control system whose open loop transfer function given below is stable. K G(s) = s[s(s + 10) + T] Also determine the modified relation between K and T if all the roots of characteristic equation are to lie to the left of the line s = -1 in the s-plane.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**Problem Statement:** (b) Using the Routh-Hurwitz criterion, determine the relation between \( K \) and \( T \) so that a unity feedback control system, whose open-loop transfer function given below is stable: \[ G(s) = \frac{K}{s[s(s + 10) + T]} \] Also, determine the modified relation between \( K \) and \( T \) if all the roots of the characteristic equation are to lie to the left of the line \( s = -1 \) in the s-plane.
Transcribed Image Text:**Problem Statement:** (b) Using the Routh-Hurwitz criterion, determine the relation between \( K \) and \( T \) so that a unity feedback control system, whose open-loop transfer function given below is stable: \[ G(s) = \frac{K}{s[s(s + 10) + T]} \] Also, determine the modified relation between \( K \) and \( T \) if all the roots of the characteristic equation are to lie to the left of the line \( s = -1 \) in the s-plane.
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