OUTPUT REGULATION OF NONLINEAR-SYSTEMS EVOLVING IN THE NEIGHBORHOOD OF A PERIODIC ORBIT

A class of nonlinear control systems is considered whose state evolves in the neighborhood of a period orbit. Necessary and sufficient condi tions 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 establish thes e conditions, along a path similar to the one recently proposed in the literature for a class of nonlinear control systems whose state evolv es in the neighborhood of an equilibrium point. An illustrative exampl e is included.