Q1: (10 marks) Given the characteristic equation

(Q(z)

)

=

(

1*KG(z))

of a closed loop system with unity feedbock shown below as:\

Q(z)=z^(2)-(1.368-0,3.32K)z+0.368

\ Find the value of

K

such thet the steady state error to a unit namp input is 0.1 .\ What is the value of

K_(4),K_(6),K_(3)

and the system type when

K

is equal 1 .\ Q2i (10 marks) The block diogram of a discrete contral system it shomp beine Determine the formula of

Y(z)

21: (10 marks) Given the characteristic equation (Q(z)=1KG(z)) of a closed loop system with unity feedback shown below as: Q(z)=z2(1.3680.6.32k)z+0.368 1. Find the value of K such that the steady state error to a unit remp input is +0.1 . 2. What is the value of k2,k2,k, and the system thpe when k is equal 1 Q2: (10 marks) The block diogram of a discrete control system it shom belind. Determine the formula of Y(x)