Design of orbitally stable zero dynamics for a class of nonlinear systems

Frédéric Grognard (1) , Carlos Canudas de Wit (2)

1 COMORE - Modeling and control of renewable resources
2 LAG - Laboratoire d'automatique de Grenoble

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.

Mots clés: Limit cycles; feedback linearization; zero dynamics; induction motor

Domaines: Optimisation et contrôle [math.OC]

Frédéric Grognard, Carlos Canudas de Wit. Design of orbitally stable zero dynamics for a class of nonlinear systems. Systems and Control Letters, 2004, 51 (2), pp.89-103. ⟨10.1016/S0167-6911(03)00209-3⟩. ⟨hal-01091542⟩