Multimodel analysis and control of multivariable systems

The use of the multimodel approach in the modeling, analysis and control of nonlinear complex and/or ill-defined systems was advocated by many researchers. This approach supposes the definition of a set of local models valid in a given region or domain. Different strategies exist in the literature and are generally based on a portioning of the nonlinear system's full range of operation into multiple smaller operating regimes each of which is associated with a locally valid model or controller. The global control may be a fusion between the partials laws. The purpose of the paper is to pay attention to interesting aspects of the multimodel approach thus revealing some answers to problems not yet resolved for multivariable systems.

1 Introduction

The multimodel approach appears as a powerful technique to deal with complex and non-linear models by means of a base of local generic models valid in a given region and each of which allowing the generation of a partial controller. Different approaches exist in the literature and are generally based on the determination of a set of models and the use of partial controllers in order to derive a global one. It appears that one of the main objects is the model base reduction for a practical representation of the complex system.