Consider the feedback control system shown in Figure 10.29.

a. Compute the sensitivity of the closed-loop transfer function to changes in the parameter \(\tau\).

b. Compute the sensitivity of the closed-loop transfer function to changes in the parameter \(K\).

c. Assuming \(\tau=1\) and \(K=1\), use MATLAB to plot the magnitude of each of the sensitivity functions for \(s=j \omega\). Use the logarithmic scale for the \(y\)-axis. Comment on the effect of parameter variations in \(\tau\) and \(K\) for different driving frequencies \(\omega\).

Transcribed Image Text:

FIGURE 10.29 Problem 6. 1 Y(s) R(s) ts+1 K