(Solved): (25pts) For a typical unity-feedback digital control system configuration below If the plant trans ...

(25pts) For a typical unity-feedback digital control system configuration below If the plant transfer function is given as \( G(s)=\frac{4}{(s+2)} \) and discrete-time controller transfer function is in the form of \( D(z)=\frac{(z-a)}{(z-b)} \), determine a and \( \mathrm{b} \) values so that the steady state error of the system for unit ramp input will be \( 0.5 \). Sampling period is \( 0.1 \mathrm{sec} \).