Estimating the H-infinity norm with the Local Rational Method takes less data

In this presentation we develop a new uncertainty modeling procedure that enhances the accuracy of the H-infinity norm. The key novelty is the use of the Local Rational Method (LRM) to address the intergrid error. This method estimates local rational models over small frequency bands. By doing so, we enhance the frequency response function estimate in the discrete frequency grid. Moreover, by applying a suitable interpolation scheme, we can significantly improve the estimate of the H-infinity gain (i.e. peak value) of lightly damped resonances using a very limited amount of data.