APPROXIMATE FEEDBACK LINEARIZATION OF DISCRETE-TIME NONLINEAR-SYSTEMSUSING VIRTUAL INPUT DIRECT DESIGN

The design of feedback-linearization and poles-placement controllers: for discrete-time non-linear plants, using Input/Output/State measurem ents only, is typically addressed via indirect design. In this paper w e propose the use of a new technique, based on a Virtual Input Direct Design (VID2) approach. The main feature of such a technique is to red uce the control design problem into a standard non-linear mapping appr oximation problem, without calling for the preliminary construction of an appropriate model of the plant. As compared with the existing meth ods, the new one requires less computational effort, while taking full advantage of the non-linear approximation software tools already avai lable. In this paper, the new method is described, a simple theoretica l analysis is given, and some numerical examples are presented. (C) 19 97 Elsevier Science B.V.