Actuator fault detection for the discrete‐time switched systems based on delta operator approach

Du, Dongsheng; Wu, Yu Wei; Yang, Yue; Mao, Zehui

doi:10.1002/oca.2829

Cited by 3 publications

(3 citation statements)

References 36 publications

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“…Lemma 1. . 12 For an observable discrete-time LTI system (1) subject to periodic input disturbance at frequencies {𝜔 d1 , 𝜔 d2 … 𝜔 dn } with a corresponding ADD-GPIO (3), if the gain matrix K takes the following form:…”

Section: Add-gpio Designmentioning

confidence: 99%

“…Since the precursory work of Isermann, 1 Ye et al 2 model‐based fault detection (FD) has been a promising research area for the last few decades 3 . In particular, observer‐based fault detection methods have been intensively studied 4‐6 and numerous fault detection methods based on classical observers have been proposed till now, such as Luenberger observer, 7 Kalman filter, 8 Unknown Input Observer (UIO), 9 sliding‐mode observer, 10 proportional‐integral observer, 11 and recently, the generalized proportional‐integral observer (GPIO) 12,13 .…”

Section: Introductionmentioning

confidence: 99%

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A generalized proportional‐integral observer for fault detection: An approximate input disturbance decoupling approach

Dai

Cui

et al. 2023

Adaptive Control & Signal

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Summary This article proposes a generalized PI observer with approximate disturbance decoupling (ADD‐GPIO) for detecting incipient actuator faults of a system subject to periodic input disturbances. Robustness to disturbances and sensitivity to faults is achieved through dynamic configuration of the disturbance transmission zeros and pole‐optimization respectively. By incorporating the v$$ v $$‐gap metric with Hprefix−$$ {H}_{-} $$ index, a novel interpretable fault sensitivity optimization objective function is proposed. It is the first time in the fault detection observer design that the difference between the transfer function matrices (TFMs) relating fault detection residual to the disturbances and faults is quantified by the proposed v$$ v $$‐gap metric, which allows a more differentiated treatment of the disturbance and fault signals for better fault detection. Then, the optimal design of the ADD‐GPIO is modeled as a mixed‐integer optimization problem and the Lagrangian relaxation is adopted to find the near‐optimal parameters of the ADD‐GPIO at less computation costs in real application. Finally, both simulation and lab experiments of a two‐wheeled self‐balancing robot are carried out to validate the improved performance of the proposed method.

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Section: Add-gpio Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A generalized proportional‐integral observer for fault detection: An approximate input disturbance decoupling approach

Dai

Cui

et al. 2023

Adaptive Control & Signal

View full text Add to dashboard Cite

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“…In recent years, as most of industrial equipment towards complexity and integration, thus people have higher and higher requirements for the security of the industrial system. [1][2][3][4] If the fault occurs, it might lead to system performance degradation or even property damage and casualties. 5 Therefore, it is imperative to detect the fault timely for efficient and reliable operation of the target system.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time fault detection for nonlinear delayed system with dynamic quantization and multiple packet dropouts

Zhao

2023

Optim Control Appl Methods

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The attention of this article is mainly paid to the finite‐time fault detection (FD) problem for nonlinear delayed system with dynamic quantization and multiple packet dropouts. The probabilistic interval time‐varying delay is addressed, which might fall into two intervals with known probability. The measurement signals are quantized by a dynamic quantizer and then transmitted over communication network, where the multiple packet dropouts might occur. The main objective of the considered problem is to design a finite‐time FD filter such that the FD system is stochastically finite‐time stable (SFTS) with guaranteed performance in the presence of probabilistic interval time‐varying delay, dynamic quantization and multiple packet dropouts. Based on Lyapunov stability theory, sufficient criteria for the presence of the desired finite‐time FD filter are presented. Afterwards, the desired filter gain matrices are given via solving certain linear matrix inequalities (LMIs). Finally, a simulation example is used to show the applicability of the obtained finite‐time FD algorithm.

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Adaptive proportional integral derivative fault tolerant control for continuous-time switched systems: A highly maneuverable aircraft technology (HiMAT) vehicle application

Elouni,

Rodrigues,

Hamdi

et al. 2024

Transactions of the Institute of Measurement and Control

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This article presents an active fault-tolerant tracking control (FTTC) scheme for switched linear systems with unknown external disturbances and actuator faults. First, a switched adaptive observer (SAO) is designed to simultaneously achieve system state and actuator fault estimation. Second, an active fault-tolerant tracking controller with a reconfigurable adaptive proportional–integral–derivative architecture is proposed based on the results of these estimations. This FTTC technique aims to ensure the tracking of a predefined reference trajectory while also compensating for actuator fault effects. In terms of linear matrix inequalities, less conservatism design conditions for the SAO and fault-tolerant tracking controller are obtained by utilizing the average dwell time technique and multiple Lyapunov functions. Finally, an application to the highly maneuverable aircraft technology vehicle is used to prove the benefits of the presented scheme.

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Actuator fault detection for the discrete‐time switched systems based on delta operator approach

Cited by 3 publications

References 36 publications

A generalized proportional‐integral observer for fault detection: An approximate input disturbance decoupling approach

A generalized proportional‐integral observer for fault detection: An approximate input disturbance decoupling approach

Finite‐time fault detection for nonlinear delayed system with dynamic quantization and multiple packet dropouts

Adaptive proportional integral derivative fault tolerant control for continuous-time switched systems: A highly maneuverable aircraft technology (HiMAT) vehicle application

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