Fault detection for a class of uncertain Lipschitz systems with time delays in finite‐frequency domain

Peng, Cheng; Cai, Chenxiao

doi:10.1049/iet-cta.2019.1326

Cited by 6 publications

(8 citation statements)

References 36 publications

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“…If χ ( t ) is greater than the corresponding threshold χ th , an alarm will be generated. Consider the following evaluation function (Cheng and Cai, 2020)…”

Section: Problem Description and Preliminariesmentioning

confidence: 99%

Dynamic event-triggered fault detection filter design for dynamical systems under fading channels

Zhao

2021

Transactions of the Institute of Measurement and Control

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This article investigates the dynamic event-triggered fault detection filter (FDF) design problem for linear continuous-time networked systems, considering the fading channels phenomenon and randomly occurring faults. A dynamic event-triggered mechanism (ETM) is introduced to reduce the network bandwidth occupation more efficiently by utilizing an internal variable which can enlarge the event-triggered intervals. Besides, the Zeno phenomenon is eliminated fundamentally by ensuring that the event-triggered intervals are positive lower bounded. After that, sufficient conditions are derived to guarantee the stochastic stability of the residual system with a desired [Formula: see text] performance and the co-design criterion of the FDF and the dynamic ETM is developed. Finally, an unmanned surface vehicle (USV) system is used to illustrate the applicability of the presented approach.

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“…If χ ( t ) is greater than the corresponding threshold χ th , an alarm will be generated. Consider the following evaluation function (Cheng and Cai, 2020)…”

Section: Problem Description and Preliminariesmentioning

confidence: 99%

Dynamic event-triggered fault detection filter design for dynamical systems under fading channels

Zhao

2021

Transactions of the Institute of Measurement and Control

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“…Besides, considering the effectiveness in decoupling unknown inputs, the unknown input observer (UIO) was utilized to improve the robustness of the H − ∕H ∞ fault detection observer (FDO) [27][28][29]. Note that since faults usually emerge in a specified range, designing a finite-frequency range FDO has proven helpful in reducing conservativeness [30][31][32]. Recently, based on the generalized Kalman-Yakubovich-Popv (GKYP) Lemma [33], the finite frequency range H ∞ and H − ∕H ∞ optimization problems have been formulated for many applications [11,32,34,35], for instance, in the presence of unknown inputs, the state estimation problem [35] and the fault detection filter design problem [32] have been studied for the T-S systems.…”

Section: Introductionmentioning

confidence: 99%

“…Compared with the existing full-frequency FD approaches in [12,18,[27][28][29], the proposed FDO is less conservative because it concerns the middle-frequency rang domain. Furthermore, unlike the finite frequency domain FDOs designed in [11,[30][31][32]34], the proposed FDO can detect sensor faults subject to parameter uncertainties, neglected model dynamics, measurement disturbances, and unknown inputs with large amplitude. (iii) A residual evaluation method is proposed by constructing residual bounds based on zonotope, and an FD decision logic is presented.…”

Section: Introductionmentioning

confidence: 99%

Sensor fault detection for dynamic point‐the‐bit rotary steerable system via finite‐frequency domain observer and zonotope residual evaluation

Wang

Geng

Cheng

et al. 2022

IET Control Theory & Appl

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In this paper, the sensor fault detection (FD) problem is investigated for the dynamic pointthe-bit rotary steerable system (DPRSS), which is known as state-of-the-art oil drilling equipment. Firstly, the DPRSS dynamic is modelled as a linear system with drilling disturbances, which consists of model perturbations, measurement disturbances, and unknown inputs. Secondly, the finite-frequency H − ∕H ∞ unknown input observer is proposed to generate the residual, which is sensitive to sensor faults and robust against drilling disturbances. Subsequently, considering model perturbations and measurement disturbances, the zonotope-based residual evaluation method is presented, and the FD decision-making logic is designed based on the calculated residual bounds. Finally, numerical simulations and prototype experiments are provided to illustrate the effectiveness of the proposed sensor FD mechanism.

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“…In Luo et al, 14 the problem of robust fault detection for uncertain time-delay markovian jump systems with different system modes was solved. The fault detection for the linear time-delay systems with parametric uncertainty and a class of uncertain Lipschitz systems in the finite-frequency domain were respectively investigated in Bai et al 15 and cheng et al 16 For the networked nonlinear systems with time delays and packet dropouts, Wan and Fang 17 proposed a fault detection approach. In Luo et al, 18 the Simultaneous finite-time control and fault detection for singular Markovian jump delay systems with average dwell-time constraints were considered.…”

Section: Introductionmentioning

confidence: 99%

A novel unknown input observer‐based fault detection with application to a two‐stage chemical reactor

WuYu

DuDongsheng

MaoZehui

et al. 2021

Adaptive Control & Signal

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This article presents a new method of fault detection for the two-stage chemical reactor system. The process can be carried out effectively in the presence of the time-delay and the unknown inputs and the parameter uncertainties by using the observer-based method technique. In order to detect the actuator fault, a novel unknown input observer is employed as the residual generator. Multi-objective optimization techniques and a new performance index are adopted to ensure the robustness and sensitivity of the fault detection observer. Then the problem of fault detection is reduced to the problem of model matching. Furthermore, sufficient conditions are obtained to guarantee that the error system is asymptotically stable with an H ∞ performance by means of the Lyapunov function technique. Finally, a two-stage chemical system is borrowed to demonstrate the effectiveness of the obtained methods.

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Fault detection for a class of uncertain Lipschitz systems with time delays in finite‐frequency domain

Cited by 6 publications

References 36 publications

Dynamic event-triggered fault detection filter design for dynamical systems under fading channels

Dynamic event-triggered fault detection filter design for dynamical systems under fading channels

Sensor fault detection for dynamic point‐the‐bit rotary steerable system via finite‐frequency domain observer and zonotope residual evaluation

A novel unknown input observer‐based fault detection with application to a two‐stage chemical reactor

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