Question

Consider a process with the transfer function: \begin{equation} G_p(s) = \frac{10}{5s+1} - \frac{3}{s+1} \end{equation} (a) Find the condition for inverse response. (b) Find the transfer function for a perfect inverse response compensator. (c) Sketch the closed loop response by this system to a unit step change, consider controlled by an PI controller tuned at $K_c = 10$ and $\tau_I = 0.5$.

          Consider a process with the transfer function:
\begin{equation} 
G_p(s) = \frac{10}{5s+1} - \frac{3}{s+1}
\end{equation}
(a) Find the condition for inverse response.
(b) Find the transfer function for a perfect inverse response compensator.
(c) Sketch the closed loop response by this system to a unit step change, consider controlled by an PI controller tuned at $K_c = 10$ and $\tau_I = 0.5$.

Consider a process with the transfer function:

Gp(s) = (10)/(5s+1) - (3)/(s+1)

(a) Find the condition for inverse response.
(b) Find the transfer function for a perfect inverse response compensator.
(c) Sketch the closed loop response by this system to a unit step change, consider controlled by an PI controller tuned at Kc = 10 and = 0.5.

Added by Charles J.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Taif U

Step 1

In other words, when the system exhibits a negative gain. In this case, the transfer function is given by G(s) = (5s + 1) / (s + 1). Show more…

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Consider a process with the transfer function: 10 3 G(s) = 5s + 1 / (s + 1) a) Find the condition for inverse response. b) Find the transfer function for a perfect inverse response compensator. c) Sketch the closed loop response by this system to a unit step change, controlled by a PI controller tuned at Kp = 10 and Ki = 0.5.