Observability of linear systems with commensurate delays and unknown inputs

Francisco Javier Bejarano (1) , Gang Zheng (2, 3)

1 ESIME-UPT - Escuela Superior de Ingeniería Mecánica y Eléctrica - Unidad Profesional Ticomán
2 NON-A - Non-Asymptotic estimation for online systems
3 LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal

This paper investigates the observability analysis for linear time systems whose outputs are affected by unknown inputs. Three different definitions of observability are proposed. By introducing the Smith form and comparing the invariant factors, a sufficient condition is deduced for each proposed definition observability . Several examples are given for the purpose of highlighting the effectiveness of the proposed approach.

Domaines: Automatique

Francisco Javier Bejarano, Gang Zheng. Observability of linear systems with commensurate delays and unknown inputs. Automatica, 2014, 50 (8), pp.2077-2083. ⟨10.1016/j.automatica.2014.05.032⟩. ⟨hal-00967944⟩