Fault Detection and Isolation of Nonlinear Systems: An Unknown Input Observer Approach With Sum-of-Squares Techniques

This paper presents a novel nonlinear unknown input observer (UIO) design method for fault detection and isolation (FDI) of a class of nonlinear affine systems. By using sum-of-squares (SOS) theory and Lie geometry as the main tools, we demonstrate how to relax the rank constraint in the traditional UIO approach and simplify the design procedure, especially for the polynomial nonlinear systems. Meanwhile, we show that the detection and isolation thresholds based on the L2 gains can be easily obtained via optimization formulated in terms of SOS. Simulation examples are given to illustrate the design procedure and the advantages.

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An unknown input observer-based decentralized fault detection and isolation for a class of large-scale interconnected nonlinear systems

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331217707570 ◽

2017 ◽

Vol 40 (8) ◽

pp. 2599-2606 ◽

Cited By ~ 3

Author(s):

Amir Abbasi ◽

Javad Poshtan

Keyword(s):

Nonlinear Systems ◽

Fault Detection ◽

Large Scale ◽

Sufficient Conditions ◽

Fault Detection And Isolation ◽

Linear Matrix ◽

Unknown Input ◽

Unknown Input Observer ◽

High Convergence Rate ◽

Interconnected Nonlinear Systems

In this paper, using a bank of decentralized nonlinear unknown input observers, a novel scheme for actuator fault detection and isolation of a class of large-scale interconnected nonlinear systems is presented. For each of the interconnected subsystems, a local nonlinear unknown input observer is designed without the need to communicate with other agents. Sufficient conditions for the observer existence are derived based on the Lyapunov stability theory. To facilitate the observer design, the achieved conditions are formulated in terms of a set of linear matrix inequalities and optimal gain matrices are obtained. By using both system output and its difference with the estimated output in observer equation, each local observer shows a high convergence rate. Simulation of an automated highway system is used to demonstrate the effectiveness of the proposed methodology.

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Fault Detection and Isolation in Power Systems Using Unknown Input Observer

Advances in Computer and Electrical Engineering - Advanced Condition Monitoring and Fault Diagnosis of Electric Machines ◽

10.4018/978-1-5225-6989-3.ch002 ◽

2019 ◽

pp. 38-58 ◽

Cited By ~ 5

Author(s):

Hassan Haes Alhelou

Keyword(s):

Fault Detection ◽

Power Systems ◽

Frequency Control ◽

Load Frequency Control ◽

Fault Detection And Isolation ◽

Unknown Input ◽

Unknown Input Observer ◽

Control Loops ◽

Interconnected Power Systems ◽

Unknown Disturbance

Unknown input observers (UIO) find application in many cases for successful fault detection and isolation (FDI). In this chapter, a scenario where the unknown input observer is applied to load frequency control loops in interconnected power systems is analyzed. A UIO was chosen because load demand is not always constant and it can be considered to introduce an unknown disturbance to the system. Mathematical formulations on how to detect and isolate sensor faults are presented which are then implemented in MATLAB Simulink for simulations. Based on this historical survey on the application of UIO, a thesis on UIO application in FDI in distributed generation is done.

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Adaptive Unknown Input Observer for Actuator Fault Detection and Isolation of PEM Fuel Cell Systems

Lecture Notes in Mechanical Engineering - Advances in Engineering Design ◽

10.1007/978-981-33-4018-3_43 ◽

2021 ◽

pp. 465-473

Author(s):

Vikash Sinha ◽

Sharifuddin Mondal

Keyword(s):

Fuel Cell ◽

Fault Detection ◽

Pem Fuel Cell ◽

Fault Detection And Isolation ◽

Unknown Input ◽

Actuator Fault ◽

Unknown Input Observer ◽

Cell Systems

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Nonlinear Parity Approach to Fault Detection in Nonlinear Systems Using Unknown Input Observer

Iranian Journal of Science and Technology Transactions of Electrical Engineering ◽

10.1007/s40998-020-00360-2 ◽

2020 ◽

Author(s):

H. Tolouei ◽

M. Aliyari Shoorehdeli

Keyword(s):

Nonlinear Systems ◽

Fault Detection ◽

Unknown Input ◽

Unknown Input Observer

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Robust sensor fault detection and isolation scheme for interconnected smart power systems in presence of RER and EVs using unknown input observer

International Journal of Electrical Power & Energy Systems ◽

10.1016/j.ijepes.2018.02.013 ◽

2018 ◽

Vol 99 ◽

pp. 682-694 ◽

Cited By ~ 101

Author(s):

H. Haes Alhelou ◽

M.E. Hamedani Golshan ◽

J. Askari-Marnani

Keyword(s):

Fault Detection ◽

Power Systems ◽

Fault Detection And Isolation ◽

Unknown Input ◽

Unknown Input Observer ◽

Sensor Fault ◽

Smart Power ◽

Sensor Fault Detection

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Robust Unknown Input Observer for Nonlinear Systems and Its Application to Fault Detection and Isolation

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.2936857 ◽

2008 ◽

Vol 130 (4) ◽

Cited By ~ 18

Author(s):

S. Mondal ◽

G. Chakraborty ◽

K. Bhattacharyya

Keyword(s):

Fault Diagnosis ◽

Nonlinear System ◽

Fault Detection ◽

Nonlinear Function ◽

Fault Detection And Isolation ◽

Linear Matrix ◽

Unknown Input ◽

Matrix Inequality ◽

Unknown Input Observer ◽

Linear Matrix Inequality Approach

A robust unknown input observer for a nonlinear system whose nonlinear function satisfies the Lipschitz condition is designed based on linear matrix inequality approach. Both noise and uncertainties are taken into account in deriving the observer. A component fault detection and isolation scheme based on these observers is proposed. The effectiveness of the observer and the fault diagnosis scheme is shown by applying them for component fault diagnosis of an electrohydraulic actuator.

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