(Solved): For control system on the Figure, a) determine the offset for a unit-step change in set-point; b) d ...

For control system on the Figure, a) determine the offset for a unit-step change in set-point; b) determine the characteristic equation of the closed-loop response; c) determine the range of K, for stability (use the Routh stability criterion or Direct substitution Method); d) using MATLAB, plot Bode diagrams for the closed-loop system (3 bonus points); e) determine the value of the ultimate gain Kcui f) evaluate the stability of the closed-loop control system using the Bode stability criterion; g) determine the tuning parameters of P, PI and PID controllers (G) using Ziegler-Nichols method; h) draw the response curves (Y versus t ) for a unit-step change in set-point for cases when P, PI and PID controllers were used (plot all three curves on one plot using Matlab). Ge 4e-s/2 s² + 4s +8 Y X s+1