A Hamiltonian Approach to Fault Isolation in a Planar Vertical Take–Off and Landing Aircraft Model

The problem of fault diagnosis in a class of nonlinear system is considered. Systems that can be written in the so-called Generalized Hamiltonian Representation (which is equivalent to an Euler-Lagrange representation) are studied, and a model-based observer approach for this class of systems is developed. The main advantage of the proposed approach is the facility to design the required observers, which take advantage of the system structure given by the Hamitonian representation. In order to show the proposed schema, a model of a permanent magnet synchronous machine is revised and the fault diagnosis schema presented. Simulation results confirm the effectivity of the proposed schema.

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“…[26] coincides with a Luenberger observer [29,30], but, however, this does not apply for decoupled subsystems sensitive to Δτ L .…”

Section: Application Examplementioning

confidence: 98%

“…From the decoupled subsystem in the generalized Hamiltonian representation Eq. (9), an observer can be designed as follows [26]:…”

Section: Assumption 1 Consider the System Eq (1) In Generalized Hammentioning

confidence: 99%

Fault Detection and Isolation of Nonlinear Systems with Generalized Hamiltonian Representation

Rodriguez-Alfaro¹,

Alcorta-Garcia²,

CornelioPosadas-Castillo³

et al. 2017

Fault Diagnosis and Detection

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“…In earlier works, the specific fault detection and fault tolerant control problems were addressed by taking into account the energy‐based PH formalism . For this purpose, in Bonivento, an adaptive internal model‐based control scheme is designed.…”

Section: Problem Formulation and Related Workmentioning

confidence: 99%

A comparative study of energetic model-based fault detection using HBG and COG formalisms

Atitallah

Harabi

Abdelkrim

2017

Int Trans Electr Energ Syst

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Summary The problem of modeling and fault detection in an electromechanical system having a graphical representation is considered. For this system's dynamics, motivated by a desire to provide a precise fault detection procedure using a unified energy‐based framework, 2 energy‐based graphical formalisms are presented and compared: the Hamiltonian Bond Graph and the Causal Ordering Graph. Firstly, easily calculated from the Hamiltonian Bond Graph representation covering the causal energetic paths, the energetic residual generators are systematically deduced by comparing the energy quantity in both normal and faulty situations. Secondly, the causal and structural properties of the Causal Ordering Graph tool can be used to design an observer devoted to fault detection so as to derive directly energy‐based residual generators in terms of faults. To highlight the effectiveness and applicability of 2 proposed approaches, simulation results on DC motor are provided and discussed. The performances of these fault detection schemes are compared and discussed in detail with respect to existing methods.

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“…A recent result that takes advantage of knowing the system's structure has been proposed in refs. [23,24], where a Hamiltonian representation is used for fault isolation in a planar vertical take-off and landing (PVTOL) of an aircraft model. This work considers a general approach to fault diagnosis using a generalized Hamiltonian system representation.…”

Section: Introductionmentioning

confidence: 99%

Fault Diagnosis for a Class of Robotic Systems with Application to 2-DOF Helicopter

et al. 2020

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This paper considers a general approach to fault diagnosis using a generalized Hamiltonian system representation. It can be considered that, in general, nonlinear systems still represent a problem in fault diagnosis because there are results only for a specific class of them. Therefore, fault diagnosis remains a challenging research area despite the maturity of some of the available results. In this work, a type of nonlinear system that admits a generalized Hamiltonian representation is considered; in practice, there are many systems that have this kind of representation. Thereupon, an approach for fault detection and isolation based on the Hamiltonian representation is proposed. First, following the classic approach, the original system is decoupled in different subsystems so that each subsystem is sensitive to one particular fault. Then, taking advantage of the structure, a simple way to design the residuals is presented. Finally, the proposed scheme is validated at the two-degree of freedom (DOF) helicopter of Quanser®, where the presence of faults in sensors and actuators were considered. The results show the efficacy of the proposed scheme.

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A Hamiltonian Approach to Fault Isolation in a Planar Vertical Take–Off and Landing Aircraft Model

Cited by 5 publications

References 33 publications

Fault Detection and Isolation of Nonlinear Systems with Generalized Hamiltonian Representation

Fault Detection and Isolation of Nonlinear Systems with Generalized Hamiltonian Representation

A comparative study of energetic model-based fault detection using HBG and COG formalisms

Fault Diagnosis for a Class of Robotic Systems with Application to 2-DOF Helicopter

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