Diagnostic Observer Design for T–S Fuzzy Systems: Application to Real-Time-Weighted Fault-Detection Approach

Li, Linlin; Chadli, Mohammed; Ding, Steven X.; Qiu, Jianbin; Chen, Xiaolu

doi:10.1109/tfuzz.2017.2690627

Cited by 115 publications

(63 citation statements)

References 34 publications

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“…Combining (11) with (12) and by induction, one can obtain Combining (11) with (12) and by induction, one can obtain…”

Section: Lemmamentioning

confidence: 99%

“…As one typical example of constrained switching, the average dwell-time (ADT) logic was proposed in the work of Hespanha and Morse. [11][12][13] Among the various methods of state estimation, the H ∞ filtering keeps attracting more attention. [8][9][10] Along with the field of switched systems, the state estimation problem of dynamic systems has also received considerable attention because of its practical applications in signal processing and control.…”

Section: Introductionmentioning

confidence: 99%

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Mixed and passive filtering for linear switched systems with average dwell time

Zheng

Guo

Zhang

2017

Adaptive Control & Signal

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In this paper, a new performance index is proposed for switched systems. The new performance index can be viewed as the mixed weighted H ∞ and passivity performance. This new performance index covers the weighted H ∞ performance and the passivity performance as special cases. Based on this new performance index, the weighted H ∞ filtering problem and the passive filtering problem of linear switched systems with unstable subsystems are solved in a unified framework. The states of the filtering error system constructed by the augmentation technique will be divergent when unstable subsystems are activated. To overcome this problem, a set of mode-dependent filters of a Luenberger-like observer type is constructed. The multiple Lyapunov function approach and the average dwell-time technique are employed to solve the mixed filtering problem.New sufficient conditions for the existence of mixed H ∞ and passive filters are developed, which ensure the filtering error system to be asymptotically stable with a prescribed mixed H ∞ and passivity performance index. Moreover, the desired mixed H ∞ and passive filters can be constructed by solving a set of linear matrix inequalities. Finally, numerical examples are given to demonstrate the applicability and advantage of the obtained results. KEYWORDS average dwell time, H ∞ filtering, linear switched systems, passive filtering, unstable subsystemsRecently, the research on switched systems has been developed because of many physical or man-made systems possessing switching features. 1,2 In general, a switched system is composed of a finite number of continuous-time or discrete-time subsystems and a switching signal. The switching signal, which orchestrates the switching among these subsystems, 316

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“…Combining (11) with (12) and by induction, one can obtain Combining (11) with (12) and by induction, one can obtain…”

Section: Lemmamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mixed and passive filtering for linear switched systems with average dwell time

Zheng

Guo

Zhang

2017

Adaptive Control & Signal

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“…Fault diagnosis (FD) and fault tolerant control (FTC) technologies have thus become the topics of numerous researchers due to their abilities to improve system safety and reliability. Fruitful excellent results can be found in continuous‐time as well as discrete‐time frameworks. In general, FD roughly includes three parts, that is, fault detection, fault isolation, and fault identification .…”

Section: Introductionmentioning

confidence: 99%

Observer‐based actuator fault estimation and proportional derivative fault tolerant control for continuous‐time singular systems

Zhang

et al. 2019

Optim Control Appl Methods

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Summary This paper focuses on designing fault estimation (FE) and fault tolerant control (FTC) schemes for continuous‐time singular systems affected by actuator fault. A novel observer called the extended proportional integral observer (PIO) is designed so that the estimations of system state and actuator fault can be obtained simultaneously. In contrast with the traditional PIO, better estimation performance can be obtained by using the designed observer. Furthermore, with the obtained FE information, a novel proportional derivative–type FTC scheme is given by means of the separation property and the free‐weighting matrix technique, which ensures that the closed‐loop system is normal and stable. All the feasible conditions are formulated in linear matrix inequality (LMI) frameworks. Finally, two examples are simulated to prove the superiority and practicability of the presented scheme.

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“…Fuzzy sets are suitable for solving fault diagnosis problems with uncertain information. Hence, fuzzy approaches have been widely applied to fault diagnosis processes [2][3][4][5][6]. However, it may be difficult to exactly quantify the membership degree in the fuzzy set as an exact value in the interval [0, 1].…”

Section: Introductionmentioning

confidence: 99%

Logarithmic Similarity Measure between Interval-Valued Fuzzy Sets and Its Fault Diagnosis Method

2018

Information

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Fault diagnosis is an important task for the normal operation and maintenance of equipment. In many real situations, the diagnosis data cannot provide deterministic values and are usually imprecise or uncertain. Thus, interval-valued fuzzy sets (IVFSs) are very suitable for expressing imprecise or uncertain fault information in real problems. However, existing literature scarcely deals with fault diagnosis problems, such as gasoline engines and steam turbines with IVFSs. However, the similarity measure is one of the important tools in fault diagnoses. Therefore, this paper proposes a new similarity measure of IVFSs based on logarithmic function and its fault diagnosis method for the first time. By the logarithmic similarity measure between the fault knowledge and some diagnosis-testing samples with interval-valued fuzzy information and its relation indices, we can determine the fault type and ranking order of faults corresponding to the relation indices. Then, the misfire fault diagnosis of the gasoline engine and the vibrational fault diagnosis of a turbine are presented to demonstrate the simplicity and effectiveness of the proposed diagnosis method. The fault diagnosis results of gasoline engine and steam turbine show that the proposed diagnosis method not only gives the main fault types of the gasoline engine and steam turbine but also provides useful information for multi-fault analyses and predicting future fault trends. Hence, the logarithmic similarity measure and its fault diagnosis method are main contributions in this study and they provide a useful new way for the fault diagnosis with interval-valued fuzzy information.

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Diagnostic Observer Design for T–S Fuzzy Systems: Application to Real-Time-Weighted Fault-Detection Approach

Cited by 115 publications

References 34 publications

Mixed and passive filtering for linear switched systems with average dwell time

Mixed and passive filtering for linear switched systems with average dwell time

Observer‐based actuator fault estimation and proportional derivative fault tolerant control for continuous‐time singular systems

Logarithmic Similarity Measure between Interval-Valued Fuzzy Sets and Its Fault Diagnosis Method

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