Experimental verification of gap metric as a tool for model selection in multi-linear model-based control

Abstract

A nonlinear system can be modeled using a set of linear models that cover the range of operation. A model-based control strategy then can be employed that uses the local models in a cooperative manner to control the nonlinear system. The decision of how many models are sufficient for effective control can be tackled by the use of the gap metric that quantifies the distance between two linear operators. A pH control experiment is used to demonstrate the effectiveness of gap metric as a tool for model selection.