For the system described in problem p1013 the goal is to

Question

For the system described in Problem P10.13, the goal is to achieve a phase margin of 50° with the additional requirement that the time to settle (to within 2% of the final value) be less than 4 seconds. Design a lead network to meet the specifications. As before, we require K_v = 2.

Problem P10.13

Materials testing requires the design of control systems that can faithfully reproduce normal specimen operating environments over a range of specimen parameters [23]. From the control system design viewpoint, a materials-testing machine system can be considered a servomechanism in which we want to have the load waveform track the reference signal. The system is shown in Figure P10.13.

(a) Determine the phase margin of the system with G_c(s) = K, choosing K so that a phase margin of 50° is achieved. Determine the system bandwidth for this design.

(b) The additional requirement introduced is that the velocity constant K_r be equal to 2.0. Design a lag network so that the phase margin is 50° and K_v = 2.