Special Seminar: Using Delays For Control

In this talk I will present "using delays" for control in multiple ways. I will start with a classical time-delay approach to control of sampled-data systems. 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 by examining artificial time delays, which lead to simple static output-feedback instead of observer-based control. Finally, I will present a new time-delay approach 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 that makes averaging-based control reliable.