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

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 diagno...

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Main Authors: Luis Alejandro Ramírez, Manuel Alejandro Zuñiga, Gerardo Romero, Efraín Alcorta-García, Aldo Jonathan Muñoz-Vázquez
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/23/8359
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spelling doaj-0d5ecbbf36754b55be00ee9c371f75552020-11-27T08:01:17ZengMDPI AGApplied Sciences2076-34172020-11-01108359835910.3390/app10238359Fault Diagnosis for a Class of Robotic Systems with Application to 2-DOF HelicopterLuis Alejandro Ramírez0Manuel Alejandro Zuñiga1Gerardo Romero2Efraín Alcorta-García3Aldo Jonathan Muñoz-Vázquez4Electronics Department at U.A.M. Reynosa-Rodhe, Universidad Autónoma de Tamaulipas, Reynosa C.P. 88779, Tamaulipas, MexicoElectronics Department at U.A.M. Reynosa-Rodhe, Universidad Autónoma de Tamaulipas, Reynosa C.P. 88779, Tamaulipas, MexicoElectronics Department at U.A.M. Reynosa-Rodhe, Universidad Autónoma de Tamaulipas, Reynosa C.P. 88779, Tamaulipas, MexicoFacultad de Ingeniería Mecánica y Eléctrica, Universidad Autónoma de Nuevo León, San Nicolás de los Garza C.P. 66455, Nuevo León, MexicoCollege of Engineering, Texas A & M University, Higher Education Center at McAllen, McAllen, TX 78504, USAThis 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<sup>®</sup>, where the presence of faults in sensors and actuators were considered. The results show the efficacy of the proposed scheme.https://www.mdpi.com/2076-3417/10/23/8359fault detectionHamiltonian systemsnon-linear systemobserversrobotic systems
collection DOAJ
language English
format Article
sources DOAJ
author Luis Alejandro Ramírez
Manuel Alejandro Zuñiga
Gerardo Romero
Efraín Alcorta-García
Aldo Jonathan Muñoz-Vázquez
spellingShingle Luis Alejandro Ramírez
Manuel Alejandro Zuñiga
Gerardo Romero
Efraín Alcorta-García
Aldo Jonathan Muñoz-Vázquez
Fault Diagnosis for a Class of Robotic Systems with Application to 2-DOF Helicopter
Applied Sciences
fault detection
Hamiltonian systems
non-linear system
observers
robotic systems
author_facet Luis Alejandro Ramírez
Manuel Alejandro Zuñiga
Gerardo Romero
Efraín Alcorta-García
Aldo Jonathan Muñoz-Vázquez
author_sort Luis Alejandro Ramírez
title Fault Diagnosis for a Class of Robotic Systems with Application to 2-DOF Helicopter
title_short Fault Diagnosis for a Class of Robotic Systems with Application to 2-DOF Helicopter
title_full Fault Diagnosis for a Class of Robotic Systems with Application to 2-DOF Helicopter
title_fullStr Fault Diagnosis for a Class of Robotic Systems with Application to 2-DOF Helicopter
title_full_unstemmed Fault Diagnosis for a Class of Robotic Systems with Application to 2-DOF Helicopter
title_sort fault diagnosis for a class of robotic systems with application to 2-dof helicopter
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2020-11-01
description 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<sup>®</sup>, where the presence of faults in sensors and actuators were considered. The results show the efficacy of the proposed scheme.
topic fault detection
Hamiltonian systems
non-linear system
observers
robotic systems
url https://www.mdpi.com/2076-3417/10/23/8359
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