Abstract : A method for the generation of globally attractive limit cycles for nonlinear systems is presented. It consists in designing an output that, when regulated through a suitable feedback, forces a limit cycle in the zero dynamics. Conditions are then given to ensure that a globally attractive limit cycle in the zero dynamics results in a globally attractive limit cycle in the whole system. The method is briefly illustrated on the torque control of an induction motor.
Frédéric Grognard, Carlos Canudas de Wit. Design of orbitally stable zero dynamics for a class of nonlinear systems. 41st IEEE Conference on Decision and Control, Dec 2002, Las Vegas, United States. ⟨10.1109/CDC.2002.1184875⟩. ⟨hal-01091622⟩