Subject Name : digital control

Q1) A closed-loop sampled data system is shown figure 1. T=0.5 s R(s) X 1-e" (s? +1) Y(s) Y(2) R(2) Fig.1 Sampled data system. 1- Find a) the open-loop pulse transfer function G(z). [ 6 marks] b) the closed-loop pulse transfer function H(z) [ 4 marks) c) the difference equation and draw the block diagram represented it. [ 6 marks] 2- For unit step input using the long-division method to determine the response y(nt) at the first five sampling instants. [ 7 marks) 3- Plot the response of the system y(nT). [2 marks] Q1) A closed-loop sampled data system is shown figure 1. T=0.5 s R(s) X 1-e" (s? +1) Y(s) Y(2) R(2) Fig.1 Sampled data system. 1- Find a) the open-loop pulse transfer function G(z). [ 6 marks] b) the closed-loop pulse transfer function H(z) [ 4 marks) c) the difference equation and draw the block diagram represented it. [ 6 marks] 2- For unit step input using the long-division method to determine the response y(nt) at the first five sampling instants. [ 7 marks) 3- Plot the response of the system y(nT). [2 marks]