A class of strong stable nonlinear plant-controller pairs by image representation

The image representation approach for nonlinear system is a generalization of the concept of right fractional realizations for linear systems. This paper addresses the parametrisation of a class of nonlinear plant-controller pairs strongly stable in an image representation framework. The results are successively stated in the case where there is no disturbances as well as when the disturbances enter the loop additively via a summator or enter the plant or the controller as exogeneous input (generalized). The nominal feedback loop is assumed to be linear