STABILITY ANALYSIS OF A MULTIPLE-MODEL CONTROLLER FOR CONSTRAINED UNCERTAIN NONLINEAR-SYSTEMS

This paper outlines the construction and the analysis of a multiple-mo del-based controller in order to deal with the stability of uncertain systems subject to constraints on its state and its control. It is as sumed that the process can be defined by a finite number of models. Th e multiple-model approach is first formally introduced, and then the s tability analysis is performed by using the vector norms and overvalui ng model frameworks. We demonstrate through original theorems how the multiple-model approach improves the sizes of the stability and attrac tive subsets first when only one model is sufficient to represent the process and then when a collection of its models is used.