Robust performance analysis: A review of techniques for dealing with infinite dimensional LMIs

This paper compares three techniques for dealing with infinite dimensional linear matrix inequalities (LMIs) for robust performance analysis: the gridding based approximation, the polytopic relaxation and the linear fractional representation based relaxation. The latter draws on the Full Block S-Procedure with different types of multipliers. All three techniques are applied in two benchmark studies at the example of an aeroelastic system. The studies are backed up by results from the Robust Control Toolbox for Matlab.