Robust Fault Detection with Unknown-Input Interval Observers using Zonotopes

Guerra, Pedro; Puig, Vicenç; Witczak, Marcin

doi:10.3182/20080706-5-kr-1001.00937

Cited by 33 publications

(22 citation statements)

References 11 publications

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“…By following Theorem 2.1 and Proposition 2.1, assigning an arbitrarily initial zonotope 2 for (15) and iterating (15), a satisfactory approximation ofX iaja ∞ denoted as S iaja with the center O ia ja can be obtained. 2 Note that according to Theorem 2.1 a RPI set of (15) can be obtained. Thus, if the initial zonotope is RPI, it is guaranteed that S iaja is a RPI approximation ofX iaja ∞ .…”

Section: A Characterizing Residual Sets Using Zonotopesmentioning

confidence: 99%

Fault detection and isolation based on the combination of a bank of interval observers and invariant sets

Stoican

Puig

et al. 2013

21st Mediterranean Conference on Control and Automation

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Abstract-In this paper, a fault detection and isolation (FDI) approach using a bank of interval observers is developed. From the methodological point of view, a bank of interval observers is designed according to different dynamical models of the system under different modes (healthy or faulty). Each interval observer matches one system mode while all the interval observers monitor the system simultaneously. In order to guarantee FDI, a set of FDI conditions based on invariant set notions are established. These conditions ensure that the considered faults can be accurately isolated after a period of monitoring time. Finally, simulation results are used to present the effectiveness of the approach.

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Section: A Characterizing Residual Sets Using Zonotopesmentioning

confidence: 99%

Fault detection and isolation based on the combination of a bank of interval observers and invariant sets

Stoican

Puig

et al. 2013

21st Mediterranean Conference on Control and Automation

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“…The interval observers, as one of set-theoretic FDI approaches, are well-known for robust fault detection (FD) [1,2,3], which consists in propagating the effect of uncertainties through the system models to generate real-time intervals for the real outputs. Provided that the system is healthy, the current outputs should be inside the output intervals estimated by the interval observer based on the healthy system model.…”

Section: Introductionmentioning

confidence: 99%

“…When the system is affected by faults, once the current outputs violate their intervals, the FD task will be triggered. In the literature, there exist different types of set-theoretic FD approaches: the set-valued observer [4], the set-membership state estimation [5,6], the invariant set-based [7,8] and the interval observer-based approaches [2,3]. Regarding fault isolation (FI), interval observers (or other related techniques such as the set-membership estimation) generally turn to other FI techniques such as the fault signature matrix approach [9,10].…”

Section: Introductionmentioning

confidence: 99%

“…In principle, the proposed method can be extended to the plant with parametric uncertainties [2]. Additionally, considering the balance among the expressional concision, computational precision and complexity, this paper uses zonotopes as the containment set to propagate the effect of uncertainties in interval observers (see [5,6] for zonotopes in state estimation).…”

Section: Introductionmentioning

confidence: 99%

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Actuator-fault detection and isolation based on set-theoretic approaches

Puig

Ocampo‐Martínez

et al. 2014

Journal of Process Control

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In this paper, an actuator-fault detection and isolation (FDI) approach is proposed. The FDI approach is based on a bank of interval observers, each of which is designed to match a healthy or faulty system mode. To ensure reliable FDI for all considered actuator faults, a collection of invariant set-based FDI conditions are established for the proposed technique. Under these guaranteed FDI conditions, all the considered faults can be detected and isolated during the transition induced by fault occurrences. Comparing with the existing set-based FDI approaches, the advantage of the proposed technique consists in that it combines the advantages of interval observers in the transient-state functioning and the advantages of invariant ses in the steady-state functioning. This paper is completed with the study of a continuous stirred-tank reactor (CSTR), which illustrates the effectiveness of the proposed method.

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“…The application of set-membership estimation to fault diagnosis of a wind turbine benchmark can be found in (Blesa et al 2011), and interval observers are used for robust state estimation in (Mazenc and Bernard 2011), where the readers are referred to. In (Puig et al 2003;Guerra et al 2008;Raïssi et al 2010), FD techniques based on interval observers are proposed. In (Seron et al 2008;Olaru et al 2010), invariant sets are used to implement sensor FDI in a multisensor fault-tolerant control (FTC) scheme.…”

Section: Introductionmentioning

confidence: 99%

Set-theoretic methods in robust detection and isolation of sensor faults

Xu¹,

Puig²,

Ocampo‐Martínez³

et al. 2014

International Journal of Systems Science

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This paper proposes a sensor-fault detection and isolation (FDI) approach based on interval observers and invariant sets. In fault detection (FD), both interval observer-based and invariant set-based mechanisms are used to provide real-time fault alarms. In fault isolation (FI), the proposed approach also uses these two different mechanisms. The former, based on interval observers, aims to isolate faults during the transient-state operation induced by faults. If the former does not succeed, the latter, based on both interval observers and invariant sets, is started to guarantee FI after the system enters into steady state. Besides, a collection of invariant set-based FDI conditions are established by using all available system-operating information provided by all interval observers. In order to reduce computational complexity, a method to remove all available but redundant/unnecessary system-operating information is incorporated into this approach. If the considered faults satisfy the proposed FDI conditions, it can be guaranteed that they are detectable and isolable after their occurrences. This paper concludes with a case study based on a subsystem of a wind turbine benchmark, which can illustrate the effectiveness of this FDI technique.

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Robust Fault Detection with Unknown-Input Interval Observers using Zonotopes

Cited by 33 publications

References 11 publications

Fault detection and isolation based on the combination of a bank of interval observers and invariant sets

Fault detection and isolation based on the combination of a bank of interval observers and invariant sets

Actuator-fault detection and isolation based on set-theoretic approaches

Set-theoretic methods in robust detection and isolation of sensor faults

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