Infinite gain margin, contraction and optimality: an LMI-based design
Résumé
In this paper we focus on nonlinear systems composed by a linear term plus a nonlinearity satisfying a monotonic or a sector bound condition. We present sufficient conditions based on LMIs for the design of a feedback control law possessing an infinite gain margin property that makes the closed-loop system to define a contraction. Then, we analyze the connection between infinite gain margin contractive feedbacks and optimization problems by showing how such an infinite gain control design minimizes a given cost function. A practical case of study is given to illustrate our results.
Domaines
Systèmes et contrôle [cs.SY]| Origine | Fichiers produits par l'(les) auteur(s) |
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