RFDF design for linear time-delay systems with unknown inputs and parameter uncertainties

Bai, Leishi; Tian, Zhongda; Song-jiao, Shi

doi:10.1080/00207720601110848

Cited by 12 publications

(5 citation statements)

References 19 publications

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“…From ( 8) we can see that in the new coordinates, all the time-delay terms are injected by the system's input and output. Now we are in the position to design a fault estimator for system (8). In practical situations, we can usually know some prior knowledge of the faults, e.g., the faults are stepwise fault, slow drifting fault or 2 L -norm bounded fault belonging to a known frequency range.…”

Section: Reminding That ( )mentioning

confidence: 99%

“…On the other hand, time-delay is commonly encountered in various engineering systems, such as chemical processes, long transmission lines in pneumatic, hydraulic and rolling mill systems, which usually results in unsatisfactory performances and is frequently a source of instability. The problem of FDI for time-delay systems has been also received considerable attention in recent years [3][4][5][6][7][8][9][10][11][12]. In [3], an adaptive observer based fault estimator was used to estimate the abrupt constant fault and [4] extended it to multi time-delay systems with time varying fault.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fault Estimation for Linear Systems with Multi Time-Delay

Dong²,

Xiao³

et al. 2012

AMM

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This paper deals with the problem of observer-based fault estimation for a class of linear systems with multi time-delay. The key of this paper is the introduction of a generalized coordinate transform, such that in the new coordinates, all the time-delay terms are injected by the system’s input and output. Based on the new obtained system expression, the design of fault estimator is formulated in the framework of H∞ filtering by incorporating the prior knowledge of fault into the design procedure, and the dynamics of the estimation error is converted into a general linear time invariant form with generalized unknown input time-delay terms. Based on the bounded real lemma, the observer gain matrix is obtained in terms of linear matrix inequality. A numerical example is given to illustrate the effectiveness of the proposed approach.

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Section: Reminding That ( )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fault Estimation for Linear Systems with Multi Time-Delay

Dong²,

Xiao³

et al. 2012

AMM

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show abstract

“…For the time-delay systems with faults using adaptive ideas, many results have been found in recent years (Bai et al, 2007;Shen et al, 2014;Yao and Peng, 2012;Yao et al, 2011;Ye and Yang, 2008). In Ye and Yang (2008), an adaptive fault-tolerant control is constructed for a class of non-linear time-delay systems with disturbance.…”

Section: Introductionmentioning

confidence: 99%

“…In Shen et al (2014), an adaptive fault diagnosis method for T-S fuzzy systems with sensor faults is proposed. In Bai et al (2007), robust fault detection filter design problems are studied for linear timedelay systems with an actuator fault, a sensor fault, unknown inputs and parameter uncertainties. In order to detect the fault, an adaptive threshold, which depends on the inputs, is finally determined.…”

Section: Introductionmentioning

confidence: 99%

A novel sensor fault diagnosis approach for time-varying delay systems with non-linear uncertainty

You

Zhang

et al. 2016

Transactions of the Institute of Measurement and Control

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In this paper, a sensor fault diagnosis approach is presented for a class of time delay non-linear systems via the use of adaptive updating rules. The considered system is represented by a time-varying delay dynamical state space model, and is subjected to a non-linear vector, which represents the modelling uncertainty in the state equation. Firstly, a fault detector observer is constructed to detect the fault. Then, the method for choosing the threshold value is given. Furthermore, a fault diagnosis device is constructed to diagnose the fault. The Lyapunov stability theory is used to obtain the required adaptive tuning rules for the estimation of the sensor fault. An adaptive diagnosis algorithm is developed to obtain information on the sensor fault. Finally, a simulated numerical example and a robotic example are included to demonstrate the use of the proposed approach, and experimental results show that the proposed adaptive diagnosis algorithm can track the fault signal and that the proposed method is valid.

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“…However, the definition of the performance index is different. In , the authors designed a fault detection scheme for uncertain delay systems. The optimal residual generator system has been designed based on a model‐matching approach.…”

Section: Introductionmentioning

confidence: 99%

Robust Unknown Input Observer Design for Linear Uncertain Time Delay Systems with Application to Fault Detection

Ahmadizadeh¹,

Zarei²,

Karimi³

2013

Asian Journal of Control

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In this paper, a novel approach is proposed to design a robust fault detection observer for uncertain linear time delay systems. The system is composed of both norm‐bounded uncertainties and exogenous signals (noise, disturbance, and fault) which are considered to be unknown. The main contribution of this paper is to present unknown input observer (UIO)‐based fault detection system which shows the maximum sensitivity to fault signals and the minimum sensitivity to other signals. Since the system contains uncertainty terms, an H∞ model‐matching approach is used in design procedure. The reference residual signal generator system is designed so that the fault signal has maximum sensitivity while the exogenous signals have minimum sensitivity on the residual signal. Then, the fault detection system is designed by minimizing the estimation error between the reference residual signal and the UIO residual signal in the sense of H∞ norm. A sufficient condition for the existence of such a filter is exploited in terms of certain linear matrix inequalities (LMIs). Application of the proposed method in a numerical example and an engineering process are simulated to demonstrate the effectiveness of the proposed algorithm. Simulation results show the validity of the proposed approach to detect the occurrence of faults in the presence of modeling errors, disturbances, and noise.

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RFDF design for linear time-delay systems with unknown inputs and parameter uncertainties

Cited by 12 publications

References 19 publications

Fault Estimation for Linear Systems with Multi Time-Delay

Fault Estimation for Linear Systems with Multi Time-Delay

A novel sensor fault diagnosis approach for time-varying delay systems with non-linear uncertainty

Robust Unknown Input Observer Design for Linear Uncertain Time Delay Systems with Application to Fault Detection

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