Output feedback stabilization of non-uniformly observable systems by means of a switched Kalman-like observer

Abstract

We propose to explore switching methods in order to recover some properties of Kalman-like observers for output feedback stabilization of state-affine systems that may present observability singularities. The self-tuning gain matrix in Kalman-like observers tend to be singular in the case of non-uniformly observable systems. We show in the case of state-affine systems with observable target that it can be prevented by dynamically monitoring observability of the system, and switching the control when it becomes critical.