Control of a class of discrete time nonlinear systems with a time-varying structure

We present a control methodology for a class of discrete time nonlinear systems that depend on a possibly exogenous scheduling variable. This class of systems consists of an interpolation of nonlinear dynamic equations in strict feedback form, and it may represent systems with a time-varying nonlinear structure. Moreover, this class of systems allows for the representation of some cases of gain-scheduling control, as well as input-output realizations of nonlinear systems which are approximated via localized linearizations. The results we present attempt to establish a framework for a wide variety of control applications that fall within the general class of systems we consider