IEEE Transactions on Automatic Control, Vol.40, No.6, 1066-1070, 1995
Stability Margin Optimization via Interpolation and Conformal-Mappings
Many interesting problems of robust stabilization can be solved using the complex function theoretic approach of . This method is based on the construction of a conformal mapping which reduces the original robust stabilization problem to a Nevanlinna-Pick interpolation problem, The main difficulty of this approach lies in the construction the conformal mapping, Here we present a new numerical algorithm to construct such conformal mappings. Then we demonstrate its effectiveness in the synthesis of optimal gain-phase margin controllers.