On sensor selection for differential algebraic systems observability

Sette Diop (1, 2, 3, 4)

1 L2S - Laboratoire des signaux et systèmes
2 Université Paris-Saclay
3 CNRS - Centre National de la Recherche Scientifique
4 CentraleSupélec

We address the problem of selecting sensors, that is, output equations, in order to endow dynamic equations of a system with some properties. Among all such desirable properties is the basic one of observability and/or identifiability. Once such a problem is solved one may ask how to choose sensors in order to improve estimation algorithms in terms of reliability, robustness, or simply, low complexity. First, what is the minimal number of sensors that make the dynamics observable? Second, when the sensors are bound to measure state components, what is their minimum number? Third, how may the observability margin be improved by selecting the sensors? In this communication we provide an overview of these questions in the differential algebraic approach of observation problems.

Mots clés: Sensor selection; observability theory; observation problems; differential algebraic systems theory

Domaines: Systèmes dynamiques [math.DS]; Autre

Sette Diop. On sensor selection for differential algebraic systems observability. IFAC 2020 - 21st IFAC World Congress, Jul 2020, Berlin, Germany. ⟨10.1016/j.ifacol.2020.12.2584⟩. ⟨hal-03087398⟩