Integrated trade‐off design of fault detection system for linear discrete time‐varying systems

Wan, Yiming; Dong, Wei; Ye, Hao

doi:10.1049/iet-cta.2011.0727

Cited by 7 publications

(25 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As mentioned in Section 1, the threshold ellipsoid determined by the shape matrix in the evaluation rule (16) can give more design freedom than the threshold scalar value in (11), and the rule (11) is actually equivalent to the rule (16) that adopts a threshold sphere with an appropriate radius. Considering that only the threshold value is used in residual evaluation of the integrated FD method [4,17], it motivated us to utilize the threshold ellipsoid-based evaluation rule (16) instead of the threshold value-based evaluation rule (11) in the integrated trade-off FD design to further reduce the conservativeness in the FD decision or equivalently enlarge the set of detectable sets with no need to scarify FAR. Note that other shapes can also be used as the threshold set.…”

Section: Motivation To Utilize the Set-membership Techniquementioning

confidence: 99%

“…Because the set-membership technique is introduced into the integrated FD design, the SDF, the FAR, and FDR given in [4,17] are redefined in the following based on the sets and the related measures of these sets.…”

Section: Set-membership-based Integrated Design Problemsmentioning

confidence: 99%

“…In order to facilitate the design of a threshold ellipsoid, the parameters ¹L k ; W k º of the residual generator (8) are selected according to (14) such that the disturbance reachable set becomes a unity sphere, that is, r N d D ".0; I/ [17]. Note that (14) has the same form as the gain matrices of the standard Kalman filtering, and in [20], the author mentioned that there is a one-one correspondence between the bounded energy uncertainty filtering problem and the stochastic filtering problem.…”

Section: Remarkmentioning

confidence: 99%

“…Generally, the threshold set in set-membership-based methods can give more design freedom than the threshold value in the norm-based methods. Considering that the existing integrated FD methods [4,17] use only a threshold value, it is possible to further improve the integrated design by exploiting more design freedom of a threshold set.…”

Section: Introductionmentioning

confidence: 99%

“…M. / stands for the measure of set , and the measures of hyperrectangles and ellipsoids are defined as M. ‡ .q// D 2 n Q n i D1 q i and M.".cI P // D p det.P /, respectively. With the matrices A i 2 R n x n x , B i 2 R n x n´, C i 2 R n y n x , D i 2 R n x n´, the integers i; k 2 N, and the symbol s (representing y; u; d; f; r), the following matrices are defined by [17] 2 6 6 6 6 6 6 6 6 6 6 6 4…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A set‐membership approach to integrated trade‐off design of robust fault detection system

Zhai

Wan

Hao

2016

Adaptive Control & Signal

Self Cite

View full text Add to dashboard Cite

In order to improve fault detection (FD) performance, integrated design of residual generation and evaluation is investigated in this paper for trade-offs between fault detection rate and false alarm rate (FAR). A setmembership approach is proposed in residual evaluation by adopting a threshold ellipsoid, which enables more design freedom than a conventional threshold value. With the set-based definitions of fault detection rate and FAR, the integrated design problem is formulated by maximizing the FD performance under a predefined FAR. The joint optimal selection of a residual generator and a threshold ellipsoid is equivalently transformed into a simplified optimization problem of determining an optimal threshold ellipsoid for any given residual generator. A suboptimal solution for the set-membership-based integrated FD system design is obtained based on approximated computation of the FD performance. Monte Carlo simulations show the performance improvement of the proposed method compared with an existing integrated design method.

show abstract

Section: Motivation To Utilize the Set-membership Techniquementioning

confidence: 99%

Section: Set-membership-based Integrated Design Problemsmentioning

confidence: 99%

Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A set‐membership approach to integrated trade‐off design of robust fault detection system

Zhai

Wan

Hao

2016

Adaptive Control & Signal

Self Cite

View full text Add to dashboard Cite

show abstract

Integrated design of residual generation and evaluation for fault detection of networked control systems

Wan

Wang

2015

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

In this paper, integrated design of residual generation and evaluation is proposed to fault detection (FD) of networked control systems. Both the imperfect network transmissions and the sampling effects are considered under the assumption that no stochastic network model is available. By deriving a linear discrete time-varying system equivalent to the sampled plant, the continuous-time behaviors of disturbances and faults during sampling intervals are captured. Moreover, the effects of unknown but bounded packet delays and dropouts in the controller-to-actuator link are described by uncertain input delays with finite number of possibilities. A parity relation-based FD module with multiple residuals is constructed for the derived system model. For the constructed FD module, the set of undetectable faults is obtained from integrated analysis of residual generation and evaluation and then designed to achieve its worst-case minimal geometrical size while guaranteeing zero false alarms. Simulation results on a networked three-tank system are provided to show the merits of the proposed integrated design approach. then the statistical properties of the unknown plant inputs could be calculated [4]. Nevertheless, stochastic network models are often costly to be estimated in practice, especially when the network environment is complex and time-varying [6]. Thus, it is of great importance to investigate FD techniques for NCSs in the absence of stochastic network models. With this consideration, Wang et al. [7] and Wan and Ye [8] utilized the bounded information about packet delays and dropouts, instead of stochastic network models, to facilitate FD design for NCSs.Besides, an NCS involving both the continuous-time plant and digital communication networks is actually a sampled-data system [9][10][11]. In some literatures on FD for NCSs such as [4,5,12], the continuous-time disturbance and fault signals over each sampling interval (which are referred to as inter-sample behaviors throughout this paper) were assumed to be constant. Such an assumption is unrealistic especially when the sampling interval is not sufficiently small. To solve this problem, Zhang et al. [13] and Izadi et al. [14], respectively, adopted the lifting technique and the operator theory to capture the effects of continuous-time disturbances and faults on discrete-time residuals in FD design.A typical FD module consists of residual generator and residual evaluator. The former one generates a residual signal, which captures the difference between the observed system behaviors and the normal system model. The latter one indicates the occurrence of faults by comparing the evaluation function of the generated residual against the selected threshold [15]. In the aforementioned FD literatures for NCSs, either the residual generators or the evaluators were separately designed, or only the residual generator design was considered. A critical problem of such separate design strategy is that an optimal residual generator cannot automatically result in an optimal FD m...

show abstract

Introduction

Zhong¹,

Xue²,

Ding³

et al. 2022

Fault Diagnosis for Linear Discrete Time-Varying Systems and Its Applications

View full text Add to dashboard Cite

Integrated trade‐off design of fault detection system for linear discrete time‐varying systems

Cited by 7 publications

References 22 publications

A set‐membership approach to integrated trade‐off design of robust fault detection system

A set‐membership approach to integrated trade‐off design of robust fault detection system

Integrated design of residual generation and evaluation for fault detection of networked control systems

Introduction

Contact Info

Product

Resources

About