Fault detection, isolation and estimation for Takagi–Sugeno nonlinear systems

Ichalal, Dalil; Marx, Benoît; Ragot, José; Maquin, Didier

doi:10.1016/j.jfranklin.2013.04.012

Cited by 58 publications

(40 citation statements)

References 42 publications

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“…Taking into account the augmented system (9)-(10) and the state/fault observer (11)- (12), the dynamics of the estimation error e(k) is given as follows…”

Section: Problem Statementmentioning

confidence: 99%

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Actuator multiplicative fault estimation in discrete-time LPV systems using switched observers

Rotondo

López‐Estrada

Nejjari

et al. 2016

Journal of the Franklin Institute

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This paper proposes an observer for the joint state and fault estimation devoted to discrete-time linear parameter varying (LPV) systems subject to actuator faults. The major contribution of this work is that the observer is able to estimate multiplicative faults, contrarily to the existing approaches, that consider additive faults. The main characteristic of this observer is that it is scheduled not only by means of the endogenous varying parameters of the faulty model, but also by the input vector. Another contribution of this paper consists in adding a switching component in order to guarantee the feasibility of the conditions for designing the observer gains. It is proved that, as long as the input sequence satisfies some characteristics, the convergence of the observer error dynamics to zero is assured. A numerical example is used to demonstrate the effectiveness of the proposed strategy.Peer ReviewedPostprint (author's final draft

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“…Taking into account the augmented system (9)-(10) and the state/fault observer (11)- (12), the dynamics of the estimation error e(k) is given as follows…”

Section: Problem Statementmentioning

confidence: 99%

“…[10,11,12]. It is worth highlighting that most of the proposed approaches consider the case of additive faults, and there is a lack of results concerning observer-based estimators for actuator multiplicative faults.…”

Section: Introductionmentioning

confidence: 99%

Actuator multiplicative fault estimation in discrete-time LPV systems using switched observers

Rotondo

López‐Estrada

Nejjari

et al. 2016

Journal of the Franklin Institute

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“…The attenuation level from ν ( t ) to the fault estimation error r e ( t ) is given by γ . Proof The LMIs are obtained using the well‐known Bounded Real Lemma and the Tuan's relaxation. The proof is omitted, but the reader can refer to where the residual generator is studied in detail. □…”

Section: Fault Tolerant Controller Design For Takagi–sugeno Systemsmentioning

confidence: 99%

Sensor fault tolerant control of nonlinear Takagi-Sugeno systems. Application to vehicle lateral dynamics

Ichalal

Marx

Ragot

et al. 2015

Int. J. Robust. Nonlinear Control

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International audienceThis paper presents a new scheme for sensor fault tolerant control for nonlinear systems based on the Takagi- Sugeno modeling. First, a structured residual generator aiming at detecting and isolating sensor faults is designed. A bank of observers controlled either by only one system output or a set of outputs is then implemented leading to a set of state estimates. The parallel distributed compensation structure is adopted to design the fault tolerant controller. The novelty in this paper is that the estimated state used in the controller is a weighted state vector obtained from all the estimated states provided by the different observers. The weighting functions depend on the residual vector signals delivered by the residual generator. They are designed to avoid crisp switches in the control law. Indeed, the interesting feature of the proposed approach is to avoid the commonly used switching strategy. For each residual component, the greater it’s magnitude is, the less the weight affected to the corresponding state estimate is. Consequently, the controller only uses estimations computed on the basis of healthy measurements. The closed-loop stability is studied with the Lyapunov theory and the obtained conditions are expressed as a set of Linear Matrix Inequalities. The proposed residual generation and fault tolerant controller are applied to a vehicle lateral dynamics affected by sensor faults

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“…Recently, the complex and non-linear dynamics of the power generation systems based on fuel cell technology, described in detail in [14], led to the use of linear models that include parameters varying with the operating point (known as linear parameter varying or LPV models) not only for advanced control [17] but also for model-based fault diagnosis [18] purposes. The use of Takagi-Sugeno (TS) models [19] is an alternative to LPV models as a linearlike modeling framework that allows extending control [20] and FDI methods to non-linear systems [21]. Thus, this paper will consider TS models and observers for FDI in PEM fuel cells.…”

Section: Introductionmentioning

confidence: 99%

“…In the literature, the use of the TS has been widely considered for FDI (see, e.g. [21,22]) and fault estimation/FTC (see e.g. [23,24]).…”

Section: Introductionmentioning

confidence: 99%

Robust fault diagnosis of proton exchange membrane fuel cells using a Takagi-Sugeno interval observer approach

Rotondo

Fernandez-Canti

Tornil-Sin

et al. 2016

International Journal of Hydrogen Energy

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In this paper, the problem of robust fault diagnosis of proton exchange mem- ments lie inside their corresponding estimated interval bounds. When a fault is detected, the measurements that are inconsistent with their corresponding estimations are annotated and a fault isolation procedure is triggered. By using the theoretical fault signature matrix (FSM), which summarizes the effects of the different faults on the available residuals, the fault is isolated by means of a logic reasoning that takes into account the bounded uncertainty, and if the number of candidate faults is more than one, a correlation analysis is used to obtain the most likely fault candidate. Finally, the proposed approach is tested using a PEM fuel cell case study proposed in the literature.

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Fault detection, isolation and estimation for Takagi–Sugeno nonlinear systems

Cited by 58 publications

References 42 publications

Actuator multiplicative fault estimation in discrete-time LPV systems using switched observers

Actuator multiplicative fault estimation in discrete-time LPV systems using switched observers

Sensor fault tolerant control of nonlinear Takagi-Sugeno systems. Application to vehicle lateral dynamics

Robust fault diagnosis of proton exchange membrane fuel cells using a Takagi-Sugeno interval observer approach

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