Control of continuous time nonlinear systems with a time-varying structure

Presents a control methodology for several classes of continuous time nonlinear systems that depend on a possibly exogenous scheduling variable. These classes of systems consist of interpolations of nonlinear dynamic equations in strict feedback form, and they may represent systems with a time-varying nonlinear structure. Moreover, these classes of systems are able to represent some cases of gain scheduling control, as well as input-output realizations of nonlinear systems which are approximated via localized linearizations, and a subclass of linear time-varying systems. The results we present attempt to establish a framework for a wide variety of control applications, where stability is proved using the backstepping methodology.

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