The control of the radial pickup position of a digital versatile disk (DVD) was discussed in Problem

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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, cfinal, and Ts.

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

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