Predictor-based stabilization of finite-dimensional linear autonomous control systems with a constant input delay
Résumé
We focus on the design of predictor-based feedbacks for finite-dimensional linear autonomous control systems with a constant input delay, with the Artstein reduction approach. This well-known method consists of reducing the delayed control system, by using an integral transform involving the state and the control, to a usual linear system without input delay, on which one can design a stabilizing feedback with usual approaches. In this paper we propose a complete analysis of this approach which is twofold. First of all we invert the Artstein transform and, as a result, we infer a Lyapunov functional for the linear control system with delay. Secondly, we show how the method can be implemented in a simple way.
Domaines
Systèmes et contrôle [cs.SY]Origine | Fichiers produits par l'(les) auteur(s) |
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