Composite feedback control for a class of non-linear singularly perturbed systems with fast actuators

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Abstract
A design methodology for a class of non-linear singularly perturbed systems with fast actuators is proposed using the composite control technique. The origin of the nominally unforced unperturbed system is assumed to be asymptotically stable and a Lyapunov function for the nominal system is available. Then by appropriate choice of the design manifold, a composite feedback control can be constructed to guarantee the asymptotic stability of the origin of the closed-loop system.