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 illustrated on the torque control of an induction motor.
https://hal.inria.fr/hal-01091542 Contributor : Frédéric GrognardConnect in order to contact the contributor Submitted on : Friday, December 5, 2014 - 3:49:33 PM Last modification on : Saturday, June 25, 2022 - 8:30:02 PM Long-term archiving on: : Monday, March 9, 2015 - 6:04:02 AM
Frédéric Grognard, Carlos Canudas de Wit. Design of orbitally stable zero dynamics for a class of nonlinear systems. Systems and Control Letters, Elsevier, 2004, 51 (2), pp.89-103. ⟨10.1016/S0167-6911(03)00209-3⟩. ⟨hal-01091542⟩