1) Consider the system with an open loop which has a transfer function as !! !!! 1) Input the transfer function in MATLAB

Num = [1];

Den = conv ([1 0]; [1 1]);

G= tf (Num, Den)

2) Perform the transfer function using partial fraction and then convert back to polynomial coefficients. Num = [1]; Den = conv ([1 0]; [1 1]); [r, p, k]= residue (Num, Den) [Num, Den]= residue (r, p, k)

3) Compute the Step response of the given transfer function Num = [1]; Den = conv ([1 0]; [1 1]); G= tf (Num, Den) step (G)

2) Compute closed loop transfer function and step response for the unitary feedback loop in the figure below

G1(S) = !!!! G2(S) =1 First define G1 and G2 using matlab then

Gc = feedback (G1, G2)

step (Gc)

Y(s)