A capstan drive for a table slide is described in CDP2.1. The position of the slide x is measured with a capacitance gauge, as shown in Figure CDP4.1, which is very linear and accurate. Sketch the model of the feedback system and determine the response of the system when the controller is an amplifier and H(s) = 1. Determine the step response for several selected values of the amplifier gain Gc1s2 = Ka.

Controller R(s) Ge(s) T(s) Motor and slide G(s) FIGURE CDP4.1 The model of the feedback system with a capacitance measurement sensor. The tachometer may be mounted on the motor (optional), and the switch will normally be open. Switch normally open Tachometer K Capacitance sensor H(s)=1 111 8(s)