An optimization approach to fault detection observer design for neutral delay systems

Abstract

In this contribution, problems related to the optimization design of observer-based fault detection system are studied for a class of neutral time-delay systems with unknown inputs. The basic idea is first, to introduce a state-memoryless observer-based fault detection filter (FDF) as the residual generator: and then to formulate such a FDF design task as an optimization problem aiming at increasing the robustness of residual to unknown input as well as plant input, while simultaneously enhancing the sensitivity of residual to faults. The main results consist of the formulation of such an FDF design optimization problem and the derivation of solvable conditions, and a systematic solution procedure. The residual evaluation problem is also considerd which includes the determination of residual evaluation function and threshold. A numerical example is used to demonstrate the proposed fault detection scheme.