2007
DOI: 10.1002/acs.1018
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Robust multiple‐fault detection and isolation: A gradient flow approach

Abstract: This paper presents a novel solution to the fault detection and isolation observer design problem for linear time-invariant systems. A gradient flow approach is proposed for synthesizing a residual generator under optimal eigenstructure assignment. This is achieved by minimizing the spectral condition number of the observer eigenvector matrix. The properties of convergence of the gradient flow solution are proved and its efficiency demonstrated via a numerical example.

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Cited by 4 publications
(3 citation statements)
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“…Results show the interdependency between modelling for diagnosis and the feature extraction system. Casavola et al [4] introduced a solution to the fault detection and isolation observer design problem for LTI systems is presented. A gradient low approach is proposed for synthesizing an optimal observer under eigenstructure assignment which is robust against unstructured uncertainties.…”
Section: A Fault Detection and Isolation Observer Based Methodsmentioning
confidence: 99%
“…Results show the interdependency between modelling for diagnosis and the feature extraction system. Casavola et al [4] introduced a solution to the fault detection and isolation observer design problem for LTI systems is presented. A gradient low approach is proposed for synthesizing an optimal observer under eigenstructure assignment which is robust against unstructured uncertainties.…”
Section: A Fault Detection and Isolation Observer Based Methodsmentioning
confidence: 99%
“…To this end, consider the system of Equation (11) where for each control configuration: (1) a family of robust controllers of the form of Equations (12)- (13) have been designed, (2) the monitoring regions …”
Section: Robust Stability-based Actuator Reconfigurationmentioning
confidence: 99%
“…The problems of fault detection and isolation (FDI) and fault-tolerant control (FTC) of dynamic systems have been the focus of considerable research interest over the past few decades in both the academic and industrial circles (see, for example, [1][2][3][4][5][6][7][8][9][10][11][12][13] and the references therein). Despite the extensive and growing body of literature on these topics, most of the available methods have been developed for spatially homogeneous processes modeled by systems of ordinary differential equations.…”
Section: Introductionmentioning
confidence: 99%