Stabilization of Discrete-Time Piecewise Affine Systems in Implicit Representation
Résumé
This paper addresses the problem of stabilization of discrete-time piecewise affine (PWA) systems. The design of a piecewise affine state feedback control law is studied using an implicit representation based on ramp functions. LMI-based stability conditions, obtained from a piecewise quadratic Lyapunov function and the implicit representation, are stated to assess the global exponential stability of the origin of the closed-loop PWA system. Through appropriate congruence transformations and some structural assumptions, a method to design the control law parameters using semidefinite programming is then proposed.
Domaines
Automatique / Robotique| Origine | Fichiers produits par l'(les) auteur(s) |
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