Control Systems - Frequency Response Analysis

A controller $D(s)$ of the form $(1+K_D s)$ is to be designed for the plant $G(s) = \frac{1000\sqrt{2}}{s(s+10)^2}$ as shown in the figure. The value of $K_D$ that yields a a phase margin of $45^\circ$ at the gain cross-...

Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of G(s) are given in the table. The value of the gain K_I (>0) for a 50° phase margin is ________ (roun...