Stabilizing Controller Design Using the Lower Bound of the Stability Margin Estimated by a Data-driven Method

Abstract

In this paper, we propose a stabilizing controller design method to use the lower bounds of the stability margins estimated by a data-driven method in a situation where a plant is unknown. To design a stabilizing controller, we derive a theorem which gives a class of a stabilizing controller. By using this theorem, we can design a controller to stabilize the closed-loop system without the mathematical model of a plant. In the numerical example, we estimate the lower bounds of the stability margins and design a stabilizing controller with only this.