Sample-based observability of linear discrete-time systems

Isabelle Krauss, Victor G. Lopez, Matthias Albrecht Müller

Abstract: In this work, sample-based observability of linear discrete-time systems is studied. That is, we consider the case where the system output measurements are not available at every time instance. It is shown that some discrete-time systems exhibit particular behaviors that lead to pathological sampling. Depending on the characteristics of the system, different sampling schemes are developed that allow the system state to be reconstructed.