Robust observation and fault diagnosis in a class of time-delay control systems

In this paper, we propose a robust observer, for state estimation. In a class of state delayed dynamical systems (with bounded uncertainties) driven by known as well as unknown inputs. Conditions for existence of the proposed observer, plus the boundedness and convergence proof for the observer based on the Razumikhin theorem, are given. Additionally, the proposed observer is utilized in an analytical redundancy based approach for sensor and actuator fault diagnosis problem in the same class of time delay dynamical systems. Finally, the applicability and effectiveness of the proposed FDI scheme is illustrated by a numerical example.