F = [0 1 0; 0 -1 1; 0 0 4]; G = [0; 0; 1]; C = [1 0 0]; D = 0; sysc = ss(F,G,C,D); Ts = 0.1; sys = c2d(sysc,Ts); [A,b,c,d] = ssdata(sys); CO = ctrb(A,b); [row,col] = size(F); w = CO\A^3; K = w(row,:); Acl = A-b*K; x0 = [1;1;2]; x1 = Acl*x0, x2 = Acl*x1, x3 = Acl*x2