Flatness-based algebraic fault identification for a wave equation with dynamic boundary conditions

This paper presents a fault identification approach for a boundary controlled wave equation with dynamic boundary conditions. The faulty system is subject to an additive time-varying actuator fault and an unknown in-domain disturbance. These signals are assumed to be the solution of a finite-dimensi...

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Published inIFAC-PapersOnLine Vol. 53; no. 2; pp. 7647 - 7652
Main Authors Fischer, F., Deutscher, J.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2020
Subjects
Distributed-parameter systems
fault diagnosis
flatness
modulating functions
motion planning
fault diagnosis
motion planning
flatness
Distributed-parameter systems
modulating functions
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ISSN2405-8963
2405-8963
DOI10.1016/j.ifacol.2020.12.1366

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Abstract This paper presents a fault identification approach for a boundary controlled wave equation with dynamic boundary conditions. The faulty system is subject to an additive time-varying actuator fault and an unknown in-domain disturbance. These signals are assumed to be the solution of a finite-dimensional signal model so that polynomial and trigonometric faults as well as disturbances can be taken into account. By making use of integral transformations an algebraic expression is derived to obtain the fault from the known input and output in finite time. The kernels determining the integral transformations are obtained by solving the so-called kernel equations. This problem is traced back to the flatness-based realization of a setpoint change for an ODE-PDE casacade. From this, a condition for fault identification is derived. A simulation example demonstrates the proposed approach.
AbstractList This paper presents a fault identification approach for a boundary controlled wave equation with dynamic boundary conditions. The faulty system is subject to an additive time-varying actuator fault and an unknown in-domain disturbance. These signals are assumed to be the solution of a finite-dimensional signal model so that polynomial and trigonometric faults as well as disturbances can be taken into account. By making use of integral transformations an algebraic expression is derived to obtain the fault from the known input and output in finite time. The kernels determining the integral transformations are obtained by solving the so-called kernel equations. This problem is traced back to the flatness-based realization of a setpoint change for an ODE-PDE casacade. From this, a condition for fault identification is derived. A simulation example demonstrates the proposed approach.
Author Fischer, F.
Deutscher, J.
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Cites_doi 10.1002/rnc.4700
10.1080/17415977.2016.1240793
10.1080/00207170701561435
10.1016/j.ifacol.2018.09.602
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Keywords fault diagnosis
motion planning
flatness
Distributed-parameter systems
modulating functions
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Snippet This paper presents a fault identification approach for a boundary controlled wave equation with dynamic boundary conditions. The faulty system is subject to...
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StartPage 7647
SubjectTerms Distributed-parameter systems
fault diagnosis
flatness
modulating functions
motion planning
Title Flatness-based algebraic fault identification for a wave equation with dynamic boundary conditions
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