14h00-15h00 – Salle des séminaires (L2S)
Using Delays for Control
Abstract. In this talk by “using delays” I understand either Time-Delay Approaches to control problems (that originally may be free of delays) or intentional inserting delays to the feedback. I will start with an old Time-Delay approach — to sampled-data control. In application to network-based control with communication constraints, this is the only approach that allows treating transmission delays larger than the sampling intervals. I will continue with “using artificial delays” leading to simple static output-feedback instead of observer-based control. Finally I will present a New Time-Delay approach — this time to Averaging, where the existing methods are qualitative: the original system is stable for small enough values of the parameter if the averaged system is stable. Our approach provides the first Quantitative bounds on the small parameter making averaging-based control reliable.