The control of the radial pickup position of a digital versatile disk (DVD) was discussed in Problem 48, Chapter 9. There, the open-loop transfer function from coil input voltage to radial pickup position was given as

Assume the plant is in cascade with a controller,

and in the closed-loop configuration shown in Figure 10.20, where G(s) = M(s)P(s) and H = 1. Do the following:

a. Draw the open-loop frequency response in a Nichols chart.

b. Predict the system’s response to a unit step input. Calculate the %OS, c_final, and T_s.

c. Verify the results of Part b using MATLAB simulations.

Transcribed Image Text:

0.63 P(s) = 0.36 1+ 305.4 0.04 1+ 248.2 305.4 248.22