GATE EC 2023 Set 1 Q47 — Control Systems

The asymptotic magnitude Bode plot of a minimum phase system is shown in the
figure. The transfer function of the system is $(s)=\frac{k(s+z)^{a}}{s^{b}(s+p)^{c}}$, where $k, z, p, a, b$ and
$c$ are positive constants. The value of $(a+b+c)$ is ____________ (rounded off to the nearest integer).