Fault detection using PDE-based observer in transport flow.

Area of Science:

• Control Systems Engineering
• Fluid Dynamics
• Network Analysis

Background:

• Distribution flow networks face challenges with continuously varying boundary conditions.
• Accurate state fault detection is crucial for operational efficiency and safety in water distribution systems (WDS).
• Existing methods may struggle with the dynamic and complex nature of WDS.

Purpose of the Study:

• To design a robust state fault detection scheme for distribution flow networks.
• To develop a partial differential equation (PDE) observer for transport flow systems.
• To enable on-line estimation of unmeasured signals for improved fault diagnosis.

Main Methods:

• Design of a PDE detection observer based on nonlinear hyperbolic systems of balance laws.
• Utilizing backstepping theory for observer construction in an anti-collocated setup.
• Proving the stability of the error equation for observer reliability.

Main Results:

• The observer provides on-line estimation of unmeasured signals.
• Fault detection is achieved using estimation and observability time with an adaptive threshold.
• Validation on real water distribution system (WDS) data demonstrated effective leakage detection.

Conclusions:

• The proposed PDE observer and fault detection method are effective for WDS.
• The approach enables timely and accurate leakage detection.
• The method confirms the practical applicability of advanced control techniques in WDS management.