The feedback system shown in Figure 6.26 has two inputs: the conventional input x(t) = e t u(t) and a disturbance input v(t) = (1e

The feedback system shown in Figure 6.26 has two inputs: the conventional input x(t) = e^ˆ’tu(t) and a disturbance input v(t) = (1ˆ’e^ˆ’t) u(t).

(a) Find the transfer functions Y(s)/X(s) and Y(s)/V(s).

(b) Determine the output y(t).

Figure 6.26:

v(t) a(t) y(t) s +1