Control of time-delay systems with parametric uncertainty via two feedback controllers

Abstract

The main goal of this contribution is to present the application of polynomial approach-based design of two feedback controllers to time-delay plants with parametric uncertainty. Robust stability of designed control systems is analyzed via the families of their closed-loop characteristic quasi-polynomials, more specifically by means of the graphical method which combines the value set concept with the zero exclusion condition. A second order plus time delay plant with uncertain parameters is robustly stabilized (or intentionally got to the robust stability border) in the simulation example.