Discussion:
Consider the forward loop transfer function in the sampled-data system as:G(s)=K/s(s+4)
(a) Determine the corresponding z -transform G(z) and the characteristic equation for this system.
(b) Using the bilinear transformation and Routh's Stability Criterion, determine the range of K for stability when the sampling time T = 0.25 s.
(c) Construct the root locus plot for this system.