Fault Isolation in Distributed Parameter Systems Modeled by Parabolic Partial Differential Equations
A fault detection and isolation scheme is addressed for a class of linear distributed parameter systems (DPS) described by partial differential equations (PDE). In contrast to using ordinary differential equations (ODE) for describing DPS, in this paper, a filter based observer based on the linear PDE representation is proposed with an output measurement. A fault is declared active when the magnitude of the detection residual exceeds a predefined threshold. Upon detection, an actuator and a sensor fault isolation estimators are activated to identify the fault type when their isolation residual is below a predefined threshold and the other is above the threshold. When both actuator and sensor fault isolation estimator residuals are above their isolation thresholds, a state fault is considered to have occurred. Upon isolation, the magnitude of the fault parameter is identified. Finally, the performance of the fault detection and isolation scheme is demonstrated on a heat reactor system which is represented by linear parabolic PDEs.
J. Cai and J. Sarangapani, "Fault Isolation in Distributed Parameter Systems Modeled by Parabolic Partial Differential Equations," Proceedings of the 2016 American Control Conference (2016, Boston, MA), pp. 4356-4361, Institute of Electrical and Electronics Engineers (IEEE), Jul 2016.
The definitive version is available at https://doi.org/10.1109/ACC.2016.7525607
2016 American Control Conference, ACC (2016: Jul. 6-8, Boston, MA)
Electrical and Computer Engineering
Keywords and Phrases
Fault detection and approximation; Isolation; Partial differential equation systems
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Article - Conference proceedings
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