2018
DOI: 10.1002/asjc.1913
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Sensor Fault Diagnosis Based on a Sliding Mode and Unknown Input Observer for Takagi‐Sugeno Systems with Uncertain Premise Variables

Abstract: This paper presents the design of a  ∞ sliding mode and an unknown input observer for Takagi-Sugeno (TS) systems. Contrary to the common approaches reported in the literature, which considers exact premise variables, this work deals with the problem of inexact measurements of the premise variables. The proposed method is based on a  ∞ criteria to be robust to disturbances, sensor noise and uncertainty on the premise variables. The observer convergence and stability are established by considering a quadratic … Show more

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Cited by 36 publications
(27 citation statements)
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“…A possible technique to deal with uncertainties is by means of the robust H ∞ approach, which has been developed since the beginning of the eighties and has been applied intensely, with successful results, to convex systems [11,120,127,128].…”
Section: Robust Observersmentioning
confidence: 99%
See 1 more Smart Citation
“…A possible technique to deal with uncertainties is by means of the robust H ∞ approach, which has been developed since the beginning of the eighties and has been applied intensely, with successful results, to convex systems [11,120,127,128].…”
Section: Robust Observersmentioning
confidence: 99%
“…On the other hand, other works have considered the case in which the scheduling variables are measured inexactly, see for example, Refs. [128,161,162]. Further improvements have been provided by Ref.…”
Section: Unknown Input Observers-based Fault Isolationmentioning
confidence: 99%
“…Gong et al [28] proposed an optimal deducing model to locate faulty nodes based on the return message from the sink node. Jiang [29] [33] presented the design of a H ∞ sliding mode and an unknown input observer for Takagi-Sugeno systems to deal with the problem of inexact measurements of the premise variables. In Reference [34], a data-driven system based on PCA was designed to detect and quantify fluid leaks in an experimental pipeline.…”
Section: Introductionmentioning
confidence: 99%
“…The dynamic behavior of rolling bearings tends to be complicated and flexible, and the vibration signal exhibits nonlinear and non-stationary characteristics. Many methods for fault diagnosis were developed, such as model-based methods [1,2], observer-based methods [3,4], and data-driven methods [5][6][7]. Analysis of vibration signal is a key technique for bearing fault diagnosis.…”
Section: Introductionmentioning
confidence: 99%