Question

Increased track densities for computer disk drives necessitate careful design of the head positioning control [1]. The loop transfer function is L(s)=G₍ₛ₎ G(s)=K/(s+2)² Plot the frequency response for this system when K=4.Calculate the phase and magnitude at ω=0.5,1,2,4, and [infinity].

Answer 1

The frequency response for the given system is plotted and the magnitude and phase are calculated at different frequencies.

Step-by-step explanation:

The given loop transfer function is L(s)=G₍ₛ₎ G(s)=K/(s+2)². To plot the frequency response for this system when K=4, we need to calculate the magnitude and phase at different frequencies.

At ω=0.5, the magnitude is 3.559 and the phase is -166.363 degrees.
At ω=1, the magnitude is 2 and the phase is -135 degrees.
At ω=2, the magnitude is 0.8 and the phase is -111.801 degrees.
At ω=4, the magnitude is 0.4 and the phase is -83.131 degrees.
At ω=[infinity], the magnitude is 0 and the phase is -0 degrees.