Further Guidelines for Loop Shaping
q Let P = NM-1 be normalized right coprime factorization. Then
•
• small l(P)  Þ   small bopt(P)
• Let the open right-half plane zeros and poles of P be:
•         z1, z2,…, zm,    p1, p2,…, pk
• Define
•
• Then        P(s)=P0(s)Nz(s)/Np(s)
• where P0(s) has no open right-half plane zeros and poles.