Question

Control System

\text { 1. A control system has the forward path transfer function } G(s)=\frac{1}{(s+1)(2 s+1)}, \text { and a }

unity feedback gain, H=1.

Find the steady-state error for a step input with amplitude K.

(ii)Find the steady-state error for a ramp (linear) input with slope L.

(iii)Discuss / describe the reasons for results obtained in (i) and (ii).

If H is not 1, and if the input to the system is R(s), derive the expression for the error E(s), in terms of H and R(s). (Note: the error signal is the output of the summing junction.)(iv)


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