Use of gap metric for model selection in multi-model based control design: an experimental case study of PH control

Abstract

The gap metric concept is extended to multi-linear model-based control framework. The concept of distance between systems is used as a criterion to select a set of models that can explain the nonlinear plant behavior. Gap metric is used to analyze the relationships among candidate models, resulting in a reduced model set which provides enough information to design a H∞-robust controller.