Displaying similar documents to “Input reconstruction by means of system inversion: A geometric approach to fault detection and isolation in nonlinear systems”

Actuator fault diagnosis for flat systems: A constraint satisfaction approach

Ramatou Seydou, Tarek Raissi, Ali Zolghadri, Denis Efimov (2013)

International Journal of Applied Mathematics and Computer Science

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This paper describes a robust set-membership-based Fault Detection and Isolation (FDI) technique for a particular class of nonlinear systems, the so-called flat systems. The proposed strategy consists in checking if the expected input value belongs to an estimated feasible set computed using the system model and the derivatives of the measured output vector. The output derivatives are computed using a numerical differentiator. The set-membership estimator design for the input vector...

Integrated design of observer based fault detection for a class of uncertain nonlinear systems

Wei Chen, Abdul Q. Khan, Muhammmad Abid, Steven X. Ding (2011)

International Journal of Applied Mathematics and Computer Science

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Integrated design of observer based Fault Detection (FD) for a class of uncertain nonlinear systems with Lipschitz nonlinearities is studied. In the context of norm based residual evaluation, the residual generator and evaluator are designed together in an integrated form, and, based on it, a trade-off FD system is finally achieved in the sense that, for a given Fault Detection Rate (FDR), the False Alarm Rate (FAR) is minimized. A numerical example is given to illustrate the effectiveness...

Active fault tolerant control of nonlinear systems: The cart-pole example

Marcello Bonfè, Paolo Castaldi, Nicola Mimmo, Silvio Simani (2011)

International Journal of Applied Mathematics and Computer Science

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This paper describes the design of fault diagnosis and active fault tolerant control schemes that can be developed for nonlinear systems. The methodology is based on a fault detection and diagnosis procedure relying on adaptive filters designed via the nonlinear geometric approach, which allows obtaining the disturbance de-coupling property. The controller reconfiguration exploits directly the on-line estimate of the fault signal. The classical model of an inverted pendulum on a cart...

Nonlinear diagnostic filter design: algebraic and geometric points of view

Alexey Shumsky, Alexey Zhirabok (2006)

International Journal of Applied Mathematics and Computer Science

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The problem of diagnostic filter design is studied. Algebraic and geometric approaches to solving this problem are investigated. Some relations between these approaches are established. New definitions of fault detectability and isolability are formulated. On the basis of these definitions, a procedure for diagnostic filter design is given in both algebraic and geometric terms.

Neural network-based fault diagnosis and fault-tolerant control for nonlinear systems with output measurement noise

Yanjun Shen, Chen Ma, Chenhao Zhao, Zebin Wu (2024)

Kybernetika

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In this article, the problems of fault diagnosis (FD) and fault-tolerant control (FTC) are investigated for a class of nonlinear systems with output measurement noise. Due to the influence of measurement noise in the output sensor, the output observation error cannot be accurately obtained, which causes obstacles to the accuracy of FD. To address this issue, an output filter and disturbance estimator are constructed to decrease the negative effects of measurement noise and observer gain...

Fault diagnosis and fault tolerant control using set-membership approaches: Application to real case studies

Vicenç Puig (2010)

International Journal of Applied Mathematics and Computer Science

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This paper reviews the use of set-membership methods in fault diagnosis (FD) and fault tolerant control (FTC). Setmembership methods use a deterministic unknown-but-bounded description of noise and parametric uncertainty (interval models). These methods aims at checking the consistency between observed and predicted behaviour by using simple sets to approximate the exact set of possible behaviour (in the parameter or the state space). When an inconsistency is detected between the measured...

Robust nonlinear observer design for actuator fault detection in diesel engines

Boulaid Boulkroune, Issam Djemili, Abdel Aitouche, Vincent Cocquempot (2013)

International Journal of Applied Mathematics and Computer Science

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This paper is concerned with actuator fault detection in nonlinear systems in the presence of disturbances. A nonlinear unknown input observer is designed and the output estimation error is used as a residual for fault detection. To deal with the problem of high Lipschitz constants, a modified mean-value theorem is used to express the nonlinear error dynamics as a convex combination of known matrices with time-varying coefficients. Moreover, the disturbance attenuation is performed using...

Sliding mode methods for fault detection and fault tolerant control with application to aerospace systems

Christopher Edwards, Halim Alwi, Chee Pin Tan (2012)

International Journal of Applied Mathematics and Computer Science

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Sliding mode methods have been historically studied because of their strong robustness properties with regard to a certain class of uncertainty, achieved by employing nonlinear control/injection signals to force the system trajectories to attain in finite time a motion along a surface in the state-space. This paper will consider how these ideas can be exploited for fault detection (specifically fault signal estimation) and subsequently fault tolerant control. It will also describe applications...