Problem 1:
Consider the system shown in Figure 1.
R(s)
1
Ts
C(s)
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, ct. The expression of ct must be in terms of the parameters T and K.
c) Determine the analytical formula of the error, ct, of the control system. Here, consider that the unit-ramp response formula is the same as that obtained in problem 2.
