A constructive solution to the gain-phase margin problem

Abstract

The authors present an algorithm for solving a certain class of robust stabilization problems where the uncertainty is independent of frequency. This amounts to solving a Nevanlinna-Pick interpolation problem together with the construction of a conformal mapping, the main difficulty being the construction of this mapping. The authors present the gain-pulse margin problem and solve it using the proposed algorithm. Some examples are given to illustrate the procedure.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>