Problem 1:
Consider the system shown in Figure 1.
R(s)
1
Ts
C(s)
K
Figure 1: Block diagram of a first-order system
(a) Determine the transfer function of the closed-loop control system.
(b) Derive analytically the unit-ramp response of the system, c(t). The expression of c(t) must
be in terms of the parameters T and K.
(c) Determine the analytical formula of the error, e(t), of the control system. Here, considers
that the unit-ramp response formula is the same to that obtained in (p1.2).
