MATLAB programs can be used to find the appropriate
F and L matrices in state-space so that the desired
coprime factorization can be obtained. Let A Î Rn ×n ,
B Î Rn ×m and C Î Rp ×n .
Then an F and an L can be
obtained from
• F = -lqr(A,B, eye(n), eye(m)); % or
• F = -place( A, B, Pf); % Pf= poles of A+BF
• L = -lqr(A,C,eye(n), eye(p)); % or
• L = -place(A,C,Pl); % Pl=poles of A+LC