Abstract

A class of nonlinear control systems is considered whose state evolves in a neighborhood of a periodic orbit. Necessary and sufficient conditions are given for tracking a family of output reference trajectories while rejecting a family of disturbances both generated by a Poisson stable exosystem. A Poincare map approach is adopted to estabhsh these conditions, along a path similar to the one recently proposed in the literature for a class of nonlinear control systems whose state evolves in a neighborhood of an equilibrium point.

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