Question

Q4- A feedback control system is shown in the Figure below. The controller and process transfer functions are given by $G_c(s) = K$ and $G(s) = \frac{s + 40}{s(s + 10)}$ and the feedback transfer function is $H(s) = 1/(s + 20)$. Determine the limiting value of gain K for stable system. [5 Marks]

          Q4- A feedback control system is shown in the Figure below. The
controller and process transfer functions are given by
$G_c(s) = K$ and $G(s) = \frac{s + 40}{s(s + 10)}$
and the feedback transfer function is $H(s) = 1/(s + 20)$. Determine the
limiting value of gain K for stable system. [5 Marks]

Q4- A feedback control system is shown in the Figure below. The
controller and process transfer functions are given by
Gc(s) = K and G(s) = (s + 40)/(s(s + 10))
and the feedback transfer function is H(s) = 1/(s + 20). Determine the
limiting value of gain K for stable system. [5 Marks]

Added by Paul L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sachin Rao

Step 1

The transfer function of the overall system can be obtained by multiplying the transfer functions of the controller, process, and feedback: G(s) = Gc(s) * Gp(s) * H(s) Given that Gc(s) = s(s+10) and H(s) = 1/(s+20), we can substitute these values into the Show more…

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Q4 - A feedback control system is shown in the Figure below. The controller and process transfer functions are given by s(s+10), and the feedback transfer function is H(s) = 1/(s+20). Determine the limiting value of gain K for a stable system. [5 Marks] Controller: Eg(s) = G(s) Process: R(s) = G(s) Sensor: (S)H