Generic uniform observability analysis for bilinear systems

Abstract

In this paper, we study the property of generic uniform observability for structured bilinear systems. More precisely, to check whether or not a structured bilinear system generically uniformly observable, we provide a group of necessary conditions and second group of sufficient ones. These conditions are expressed in quite simple graphic-terms. On the one hand, all the given conditions are easy to check because they deal with finding paths in a digraph. On the other hand, the proposed method is based on a graph-theoretic approach and assumes only the knowledge of the system's structure. This makes the suggested approach particularly well suited to study large scale systems or systems with unknown parameters, as it may be the case during a conception stage.

An overview of structural systems theory

“…In Boukhobza (2008), and Canitrot, Boukhobza, and Hamelin (2008), the authors scrutinize the structural observability of bilinear systems, and in Boukhobza et al (2008), the authors propose the study of sensor selection in the context of FDI. In , the authors express in graphic terms the necessary and sufficient conditions for the generic observability of structural bilinear systems.…”

“…In , the authors express in graphic terms the necessary and sufficient conditions for the generic observability of structural bilinear systems. The work in Boukhobza (2008) studies generic uniform observability for structural bilinear systems, providing necessary and sufficient conditions expressed in graphic terms. Furthermore, sensor placement for the observability of structural bilinear systems is studied in Canitrot et al (2008).…”

Structural Systems Theory: an overview of the last 15 years

“…In [153,154,155], the authors scrutinize the structural observability of bilinear systems, and in [98], the authors proposed the study of sensor selection in the context of FDI. Lastly, in [156], the author presents an interesting discussion on the use of structural systems to assess uniform observability of bilinear systems.…”