A robot is programmed to have a tool or welding torch follow a prescribed path $[8,13]$. Consider a robot tool that is to follow a sawtooth path, as shown in Figure P5.6(a). The transfer function of the plant is
$$
G(s)=\frac{75(s+1)}{s(s+5)(s+20)}
$$
for the closed-loop system shown in Figure 5.6(b). Calculate the steady-state error.