Improving the observer-based FDI design for efficient fault isolation

Yuan, Zhiguo; Vansteenkiste, Ghislain; Chen, Wen

doi:10.1080/002071797223794

Cited by 12 publications

(15 citation statements)

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“…This is a fourth order continuous-time system with output dimension p = 3, and input dimensions m u = 1, m d = 0 and m f = 8 which has been used by Yuan et al [1997] in a study to solve a FDIP for the complete achievable structure matrix S. and D u = 0, D f = 0. This academic example is primarily intended to illustrates the main advantages of the proposed algorithm over brute force search based techniques and the ability to easily determine useful associated information.…”

Section: Examplementioning

confidence: 99%

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On computing achievable fault signatures

Varga

2009

IFAC Proceedings Volumes

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The knowledge of achievable fault signatures is a valuable information in designing residual generators providing structured residual sets for fault detection and isolation. We propose an efficient computational approach to determine the achievable fault signatures for a given additive fault model. The proposed procedure relies on recently developed numerically reliable nullspace updating techniques involving orthogonal reductions to Kronecker-like forms. The new procedure is general, being applicable to both proper as well as non-proper systems, and is significantly more efficient than an exhaustive search based approach.

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Section: Examplementioning

confidence: 99%

“…For Ω s = {0}, we computed the achievable structure matrix S, which in comparison to that in [Yuan et al, 1997], contains supplementary information on weekly detectable specifications. For the resulting specifications we computed the achievable least orders n i for the i-th specification as well as the corresponding sensitivity conditions ξ i and ξ s i .…”

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confidence: 99%

On computing achievable fault signatures

Varga

2009

IFAC Proceedings Volumes

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“…Then, apply the co-ordinate transformation to * A; * M; * C and * Q: The matrices * C and * M will then have the special structures shown in (4) and (5) so that the analysis of the observer in (22)-(23) and (25)-(26) is simplified without loss of generality. (d) Use the matrices obtained in the previous step to form the matrices A; M; Q; C of the augmented system in (7) and (8). (e) Find the co-ordinate transformation T 5 ; following the steps shown in the proof of Lemma 4 in Section A.4 in the Appendix.…”

Section: Design Algorithm Summarymentioning

confidence: 99%

“…Survey papers that give overviews of work in this area are available in [2][3][4]. The most commonly used FDI methods are observer based where the measured plant output is compared to the output of an observer designed from a model of the system, and the discrepancy is used to form a residual [5][6][7]. Using this residual signal, a decision is made This paper is organized as follows: Section 2 introduces the system and states the main result, whilst Section 3 sets up the framework for the proposed method together with existence conditions.…”

Section: Introductionmentioning

confidence: 99%

New results in robust actuator fault reconstruction for linear uncertain systems using sliding mode observers

Tan

Edwards

et al. 2007

Intl J Robust & Nonlinear

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This paper presents a robust actuator fault reconstruction scheme for linear uncertain systems using sliding mode observers. In existing work, fault reconstruction via sliding mode observers is limited to either linear certain systems subject to unknown inputs, relative degree one systems or a specific class of relative degree two systems. This paper presents a new method that is applicable to a wider class of systems with relative degree higher than one, and can also be used for systems with more unknown inputs than outputs. The method uses two sliding mode observers in cascade. Signals from the first observer are processed and used to drive the second observer. Overall, this results in actuator fault reconstruction being feasible for a wider class of systems than using existing methods. A simulation example verifies the claims made in this paper. as to whether a fault condition is present and also an attempt is made to determine its location.A useful alternative to residual generation is fault reconstruction [8-10], which not only detects and isolates the fault, but also provides an estimate of the fault so that its shape and magnitude can be better understood and more precise corrective action can be taken. However, a fault reconstruction scheme is usually designed about a model of the system. This model usually does not perfectly represent the system, as certain dynamics are either unknown or do not fit exactly into the framework of the model. These dynamics are usually represented as a class of disturbances within the model [11]. The disturbances corrupt the reconstruction, and could produce a non-zero reconstruction when there are no faults, or worse, mask the effect of a fault, producing a 'zero' reconstruction in the presence of faults. Therefore, the scheme needs to be designed so that the reconstruction is robust to disturbances.Edwards et al. [8,9] used a sliding mode observer [12] to reconstruct faults, but there was no explicit consideration of the disturbances. Tan and Edwards [13] built on the work in [8,9] and presented a design algorithm for the observer, using linear matrix inequalities (LMIs) [14], such that the L 2 gain from the disturbances to the fault reconstruction is minimized. Saif and Guan [10] aggregated the faults and disturbances to form a new 'fault' vector and used a linear observer to reconstruct the new 'fault' vector. One of the necessary conditions in [8-10, 13] is that the transfer function from the faults to the output has a relative degree of one. This limits the class of systems where the schemes [8-10, 13] are applicable.Recently, there have been developments in the area of fault reconstruction for systems with relative degree greater than one. Floquet and Barbot [15] transformed the system into an 'output information' form such that existing sliding mode observer techniques could be implemented to perfectly estimate the states in finite time and reconstruct faults. However, their algorithm does not consider disturbances (unless as in [10] the unknown inputs (faults) are a...

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“…By that a significantly lower order of the residual generators, in comparison with the ones employing full-order state observers, can be achieved. With an attempt to simplify the design of the residual generators, this trend is identified as very important from the practical point of view (see [31][32][33][34][35]).…”

Section: Introductionmentioning

confidence: 99%

Minimal-Order Functional Observer-Based Residual Generators for Fault Detection and Isolation of Dynamical Systems

Tran

Trinh

2016

Mathematical Problems in Engineering

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This paper examines the design of minimal-order residual generators for the purpose of detecting and isolating actuator and/or component faults in dynamical systems. We first derive existence conditions and design residual generators using only first-order observers to detect and identify the faults. When the first-order functional observers do not exist, then based on a parametric approach to the solution of a generalized Sylvester matrix equation, we develop systematic procedures for designing residual generators utilizing minimal-order functional observers. Our design approach gives lower-order residual generators than existing results in the literature. The advantages for having such lower-order residual generators are obvious from the economical and practical points of view as cost saving and simplicity in implementation can be achieved, particularly when dealing with high-order complex systems. Numerical examples are given to illustrate the proposed fault detection and isolation schemes. In all of the numerical examples, we design minimum-order residual generators to effectively detect and isolate actuator and/or component faults in the system.

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Improving the observer-based FDI design for efficient fault isolation

Cited by 12 publications

References 0 publications

On computing achievable fault signatures

On computing achievable fault signatures

New results in robust actuator fault reconstruction for linear uncertain systems using sliding mode observers

Minimal-Order Functional Observer-Based Residual Generators for Fault Detection and Isolation of Dynamical Systems

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