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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
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée
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.
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https://hal.inria.fr/hal-01091542
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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⟩

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