The transfer function of the plant in a feedback control system, Gp(s), and the transfer function of the measurement transducer, H(s), are: K Gp H Figure 2: Feedback Control System where 2 G„(s) = s(0.1s+1)(0.25s+1)' H(s) = s+40 (a) State the characteristic equation of the closed loop transfer function. (b) Using the Routh criterion, determine the values of K for which the closed loop system will be stable. (c) Is the system stability affected if the gain K is replaced with the integrator ?

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The transfer function of the plant in a feedback control system, Gp(s), and the transfer
function of the measurement transducer, H(s), are:
K
Gp
H
Figure 2: Feedback Control System
where
2
H(s) =
s(0.1s+1)(0.25s+1)
s+40
(а)
State the characteristic equation of the closed loop transfer function.
(b) Using the Routh criterion, determine the values of K for which the closed Joop
system will be stable.
(c)
Is the system stability affected if the gain K is replaced with the integrator 4?
Transcribed Image Text:3 The transfer function of the plant in a feedback control system, Gp(s), and the transfer function of the measurement transducer, H(s), are: K Gp H Figure 2: Feedback Control System where 2 H(s) = s(0.1s+1)(0.25s+1) s+40 (а) State the characteristic equation of the closed loop transfer function. (b) Using the Routh criterion, determine the values of K for which the closed Joop system will be stable. (c) Is the system stability affected if the gain K is replaced with the integrator 4?
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