Hybrid Output Feedback Stabilization for a Harmonic Oscillating System

This paper presents a hybrid static output feedback stabilization approach for harmonic oscillating systems, which are not stabilizable via a static output feedback. More precisely, we find two output feedback gains and a switching law orchestrating the feedback gains such that the closed-loop system is asymptotically stable. It is shown that stability conditions can be met with respect to the discrete state when the switched system's stabilization theorem is used.