Assignments new

1. A capstan drive for a table slide is described in Figure 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 Gc(s) = Ka.

2. A closed-loop speed control system is subjected to a disturbance due to a load, as shown in Figure DP4.1. The desired speed is ωd(t) = 100 rad/s, and the load disturbance is a unit step input Td(s) = l/s. Assume that the speed has attained the no-load speed of 100 rad/s and is in steady state, (a) Determine the steady state effect of the load disturbance, and (b) plot ω(t) for the step disturbance for selected values of gain so that 10 < /C < 25. Determine a suitable value for the gain K.

3. The control of the roll angle of an airplane is achieved by using the torque developed by the ailerons. A linear model of the roll control system for a small experimental aircraft is shown in Figure DP4.2, where The goal is to maintain a small roll angle θdue to disturbances. Select an appropriate gain KKlthat will reduce the effect of the disturbance while attaining a desirable transient response to a step disturbance, with θd/(t) = 0. To obtain a desirable transient response, let KKl