scholarly journals Robust FDI for a Class of Nonlinear Networked Systems with ROQs

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
An-quan Sun ◽  
Lin Zhang ◽  
Wen-feng Wang ◽  
Jun Wang ◽  
Tian-lin Niu ◽  
...  
Keyword(s):  
Fault Detection ◽  
Detection System ◽  
Sufficient Conditions ◽  
Networked Systems ◽  
Fault Detection And Isolation ◽  
Parameter Uncertainties ◽  
Fault Detection Filter ◽  
Mean Square Stability ◽  
The Difference ◽  
Detection Filter

This paper considers the robust fault detection and isolation (FDI) problem for a class of nonlinear networked systems (NSs) with randomly occurring quantisations (ROQs). After vector augmentation, Lyapunov function is introduced to ensure the asymptotically mean-square stability of fault detection system. By transforming the quantisation effects into sector-bounded parameter uncertainties, sufficient conditions ensuring the existence of fault detection filter are proposed, which can reduce the difference between output residuals and fault signals as small as possible underH∞framework. Finally, an example linearized from a vehicle system is introduced to show the efficiency of the proposed fault detection filter.

scholarly journals Intermittent Fault Detection for Uncertain Networked Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Xiao He ◽  
Yanyan Hu ◽  
Kaixiang Peng
Keyword(s):  
Fault Detection ◽  
Networked Systems ◽  
Unknown Input ◽  
Detection Problem ◽  
Parameter Uncertainties ◽  
Markovian Jumping ◽  
Fault Detection Filter ◽  
Intermittent Fault ◽  
Robust Fault Detection ◽  
Detection Filter

This paper investigates intermittent fault detection problem for a class of networked systems with multiple state delays and unknown input. Polytopic-type parameter uncertainty in the state-space model matrices is considered. A novel measurement model is employed to account for both the random measurement delays and the stochastic data missing (package dropout) phenomenon, which are typically resulted from the limited capacity of the communication networks. We aim to design an uncertainty-dependent fault detection filter such that, for all unknown input, all possible parameter uncertainties, and all incomplete measurements, the error between residual and weighted fault is made as small as possible. By converting the addressed robust fault detection problem into an alternative robustH∞filtering problem of a certain Markovian jumping system (MJS), a sufficient condition for the existence of the desired robust fault detection filter is derived. A residual evaluation within an incremental form is brought forward to make the whole method suitable for intermittent fault detection. A numerical example is utilized to demonstrate the effectiveness of the proposed approach.

Full- and Reduced-Order Fault Detection Filter Design With Application in Flow Transmission Lines

2018 ◽  
Vol 141 (2) ◽  
Author(s):  
Saeed Salavati ◽  
Karolos Grigoriadis ◽  
Matthew Franchek ◽  
Reza Tafreshi
Keyword(s):  
Fault Diagnosis ◽  
Fault Detection ◽  
Filter Design ◽  
Sufficient Conditions ◽  
Fault Detection And Isolation ◽  
Linear Matrix ◽  
Reduced Order ◽  
Fault Detection Filter ◽  
Order Filter ◽  
Detection Filter

The full- and reduced-order fault detection filter design is examined for fault diagnosis in linear time-invariant (LTI) systems in the presence of noise and disturbances. The fault detection filter design problem is formulated as an H∞ problem using a linear fractional transformation (LFT) framework and the solution is based on the bounded real lemma (BRL). Necessary and sufficient conditions for the existence of the fault detection filter are presented in the form of linear matrix inequalities (LMIs) resulting in a convex problem for the full-order filter design and a rank-constrained nonconvex problem for the reduced-order filter design. By minimizing the sensitivity of the filter residuals to noise and disturbances, the fault detection objective is fulfilled. A reference model can be incorporated in the design in order to shape the desired performance of the fault detection filter. The proposed fault detection and isolation (FDI) framework is applied to detect instrumentation and sensor faults in fluid transmission and pipeline systems. To this end, a lumped parameter framework for modeling infinite-dimensional fluid transient systems is utilized and a low-order model is obtained to pursue the instrumentation fault diagnosis objective. Full- and reduced-order filters are designed for sensor FDI. Simulations are conducted to assess the effectiveness of the proposed fault detection approach.

scholarly journals Fault Detection for Network Control Systems with Multiple Communication Delays and Stochastic Missing Measurements

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Jie Zhang ◽  
Ming Lyu ◽  
Hamid Reza Karimi ◽  
Jian Zuo ◽  
Yuming Bo
Keyword(s):  
Fault Detection ◽  
Control Systems ◽  
Sufficient Conditions ◽  
Network Control ◽  
Communication Delays ◽  
Missing Measurements ◽  
Fault Detection Filter ◽  
Network Control Systems ◽  
Delay Phenomenon ◽  
Detection Filter

This paper is concerned with fault detection problem for a class of network control systems (NCSs) with multiple communication delays and stochastic missing measurements. The missing measurement phenomenon occurs in a random way and the occurrence probability for each measurement output is governed by an individual random variable. Besides, the multiple communication delay phenomenon reflects that networked control systems have different communication delays when the signals are transferred via different channels. We aim to design a fault detection filter so that the overall fault detection dynamics is exponentially stable in the mean square. By constructing proper Lyapunov-Krasovskii functional, we acquire sufficient conditions to guarantee the stability of the fault detection filter for the discrete systems, and the filter parameters are also derived by solving linear matrix inequality. Finally, an illustrative example is provided to show the usefulness and effectiveness of the proposed design method.

scholarly journals Improved Reduced-Order Fault Detection Filter Design for Polytopic Uncertain Discrete-Time Markovian Jump Systems with Time-Varying Delays

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Lihong Rong ◽  
Xiuyan Peng ◽  
Liangliang Liu ◽  
Biao Zhang
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Filter Design ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Markovian Jump ◽  
Reduced Order ◽  
Fault Detection Filter ◽  
Markovian Jump Linear Systems ◽  
Detection Filter

The fault detection (FD) reduced-order filtering problem is investigated for a family of polytopic uncertain discrete-time Markovian jump linear systems (MJLSs) with time-varying delays. Under meeting the control precision requirements of the complex systems, the reduced-order fault detection filter can improve the efficiency of the fault detection. Then, by the aid of the Markovian Lyapunov function and convex polyhedron techniques, some novel time-varying delays and polytopic uncertain sufficient conditions in terms of linear matrix inequality (LMI) are proposed to insure the existence of the FD reduced-order filter. Finally, an illustrative example is provided to verify the usefulness of the given method.

Residual Fault Detection Filter Design in the Finite Frequency Domain Based on LMI Optimization

2014 ◽  
Vol 494-495 ◽  
pp. 885-889 ◽  
Author(s):  
Li Hua Liu ◽  
Xiu Kun Wei ◽  
Xiao He Liu
Keyword(s):  
Fault Detection ◽  
Frequency Domain ◽  
Filter Design ◽  
Detection System ◽  
Detection Methods ◽  
Finite Frequency ◽  
Model Uncertainties ◽  
Lmi Optimization ◽  
Fault Detection Filter ◽  
Detection Filter

In the observer based fault detection methods, the parameter be designed and optimized is the observer gain matrix. However, an observer cannot be optimized to achieve all the expected performances. A novel fault detection filter designed method is presented in this paper, where the filter is cascaded after the observer based fault detection system. The filter is designed to be sensitive to the faults but robust to the disturbances and model uncertainties in the finite frequency domain. For the proposed filter, there are four matrices need to be optimized and the performance would be enhanced significantly. The effectiveness of the proposed method is demonstrated by applying it to a railway suspension system.

scholarly journals Fault compensation effect in fault detection and isolation

ACTA IMEKO ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 91
Author(s):  
Michal Bartys
Keyword(s):  
Fault Detection ◽  
Compensation Effect ◽  
Sufficient Conditions ◽  
Fault Isolation ◽  
Fault Detection And Isolation ◽  
Common Side Effect ◽  
Common Belief ◽  
Tank System ◽  
Fault Compensation ◽  
The Difference

<p class="Abstract">This paper discusses the origin and problem of the fault compensation effect. The fault compensation effect is an underrated common side effect of the fault isolation approaches developed within the Fault Detection and Isolation (FDI) community. In part, this is justified due to the relatively low probability of such an effect. On the other hand, there is a common belief that the inability to isolate faults due to this effect is the evident drawback of model-based diagnostics. This paper shows how, and under which conditions, the fault compensation effect can be identified. In this connection, the necessary and sufficient conditions for the fault compensation effect are formulated and exemplified by diagnosing a single buffer tank system in open and closed-loop arrangements. In this regard, we also show the drawbacks of a bi-valued residual evaluation for fault isolation. In contrast, we outline the advantages of a three-valued residual evaluation. This paper also brings a series of conclusions allowing for a better understanding of the fault compensation effect. In addition, we show the difference between fault compensation and fault-masking effects.</p>

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

2021 ◽  
pp. 014233122110661
Author(s):  
Siyang Zhao ◽  
Jinyong Yu
Keyword(s):  
Fault Detection ◽  
Fading Channels ◽  
Filter Design ◽  
Sufficient Conditions ◽  
Design Criterion ◽  
Fault Detection Filter ◽  
Network Bandwidth ◽  
Dynamic Event ◽  
Detection Filter ◽  
Event Triggered

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.

Robust Fault Detection for Singular Stochastic Systems

2011 ◽  
Vol 128-129 ◽  
pp. 276-279 ◽  
Author(s):  
Ai Qing Zhang
Keyword(s):  
Fault Detection ◽  
Stochastic Systems ◽  
Detection System ◽  
Linear Matrix ◽  
Fault Detection Filter ◽  
Robust Fault Detection ◽  
Lyapunov Function Method ◽  
Singular Stochastic Systems ◽  
Residual Generator ◽  
Detection Filter

-This paper deals with the problem of fault detection filter (FDF) design for singular stochastic systems . By using an observer-based FDF as a residual generator,the robust fault detection is formulated as a filtering problem. Based on linear matrix inequalities (LMIS) techniques and stability theory of stochastic differential equations, stochastic Lyapunov function method is adopted to design a FDF such that, the filter residual system is sensitive to the fault but robust to the exogenous disturbance.Sufficient conditions are proposed to guarantee the stochastically mean-square stablility with an performance for the faulty detection system. The existence of a FDF for the system under consideration is achieved in terms of LMIS . Moreover, the expressions of desired fault detection filter are given.

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