Consider a servo system shown in Figure-P1. In this device, the velocity and pos

Question

Consider a servo system shown in Figure-P1. In this device, the velocity and position signals are fed back to the input to produce the actuating error signal. In any servo system, such a velocity signal can be easily generated by a tachometer. Assume that J = 1kg.m2, B=1 N.m/rad/sec, K=12.5 N.m, Kh=0.178 sec Find the analytical expression of the following responses: Unit impulse response: x(t) = delta(t), where delta(t) is the unit impulse function: Unit Step response: x(t) = U(t), where U(t) is the unit step function

Explanation / Answer

the equivalent closed loop transferfunction = K/s(Js2+Bs+KbK +K)

=12.5/s(s2+s+14.725)

1. unit impulse response = [12.5/s(s2+s+14.725)] * (t)

2. unit step response = [12.5/s(s2+s+14.725)] * U(t)

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