Model validation and parameter identification for systems in H∞ and l1

Abstract

Robust control models contain unknown perturbations with assumed bounds. Modeling of systems in a robust framework requires a means of estimating such bounds. One can begin to address this problem by studying model validation - is there a perturbation and an unknown disturbance, fitting the assumptions of the model, that accounts for the experimental observation? This paper discusses this problem for systems modeled as members of H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> or l <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> . The assumptions of these design frameworks are significantly different, giving very different implications for the model validation problem. Model validation can also give an approach to parameter identification in robust control models. Again the consequences of the usual assumptions of each framework are discussed.