An important problem for television systems is the jumping or wobbling of the picture due to the

Question:

An important problem for television systems is the jumping or wobbling of the picture due to the movement of the camera. This effect occurs when the camera is mounted in a moving truck or airplane. The Dynalens system has been designed to reduce the effect of rapid scanning motion; see Figure P5.1. A maximum scanning motion of 25°/s is expected. Let Kg = K1 = 1 and assume that Ñ‚g is negligible.
(a) Determine the error of the system E(s).
(b) Determine the necessary loop gain KaKmKt when a l°/s steady-state error is allowable.
(c) The motor time constant is 0.40 s. Determine the necessary loop gain so that the settling time (to within 2% of the final value of vb) is less than or equal to 0.03 s.