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Fault Diagnosis Inverse Problems: Solution with Metaheuristics

Authors: Prof. Dr. Lídice Camps Echevarría, Prof. Dr. Orestes Llanes Santiago, Prof. Dr. Haroldo Fraga de Campos Velho, Prof. Dr. Antônio José da Silva Neto

Publisher: Springer International Publishing

Book Series : Studies in Computational Intelligence

Part of: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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About this book

This book presents a methodology based on inverse problems for use in solutions for fault diagnosis in control systems, combining tools from mathematics, physics, computational and mathematical modeling, optimization and computational intelligence. This methodology, known as fault diagnosis – inverse problem methodology or FD-IPM, unifies the results of several years of work of the authors in the fields of fault detection and isolation (FDI), inverse problems and optimization. The book clearly and systematically presents the main ideas, concepts and results obtained in recent years. By formulating fault diagnosis as an inverse problem, and by solving it using metaheuristics, the authors offer researchers and students a fresh, interdisciplinary perspective for problem solving in these fields. Graduate courses in engineering, applied mathematics and computing also benefit from this work.

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Table of Contents

Frontmatter

Chapter 1. Model Based Fault Diagnosis and Inverse Problems

Abstract

This chapter introduces the main concepts and ideas concerning Model based Fault Diagnosis in Sect. 1.1. Fault Diagnosis based on parameter estimation is presented in Sect. 1.2 and Inverse Problems are briefly introduced in Sect. 1.3.

Lídice Camps Echevarría, Orestes Llanes Santiago, Haroldo Fraga de Campos Velho, Antônio José da Silva Neto

Chapter 2. Fault Diagnosis Inverse Problems

Abstract

This chapter deals with FDI as an Inverse Problem. Section 2.1 presents and formalizes Fault Diagnosis as an Inverse Problem. In Sect. 2.1, it is also formalized a new methodology for Fault Diagnosis: Fault Diagnosis—Inverse Problem Methodology (FD-IPM). Section 2.2 describes the mathematical models to be used by FD-IPM. Section 2.3 describes an alternative approach for determining uniqueness in Fault Diagnosis Inverse Problems, which is based on the structural analysis of the model that describes the system.

Lídice Camps Echevarría, Orestes Llanes Santiago, Haroldo Fraga de Campos Velho, Antônio José da Silva Neto

Chapter 3. Metaheuristics for Optimization Problems

Abstract

An introduction to metaheuristics for optimization problems is presented in this chapter. In Sect. 3.1 a classification of metaheuristics is put forward. The metaheuristics Differential Evolution (DE); Particle Collision Algorithm (PCA); Ant Colony Optimization (ACO) in its version for continuous problems; and Particle Swarm Optimization (PSO) are described in Sects. 3.2, 3.3, 3.4 and 3.5, respectively. These metaheuristics were applied to he benchmark problems diagnosis described in Chap. 2, based on Fault Diagnosis-Inverse Problem Methodology (FD-IPM) as described in Chap. 2.

Lídice Camps Echevarría, Orestes Llanes Santiago, Haroldo Fraga de Campos Velho, Antônio José da Silva Neto

Chapter 4. Applications of the Fault Diagnosis: Inverse Problem Methodology to Benchmark Problems

Abstract

This chapter presents the application of the last three steps (2, 3, and 4) of the Fault Diagnosis—Inverse Problem Methodology (FD-IPM), as described in Sect. 2.1, to the three benchmark problems that were presented in Sect. 2.4. Step 2 is to evaluate the faults for which only the detection is possible. The third step deals with the solution of an optimization problem with metaheuristics. The fourth step provides the conclusion on the diagnosis of the system, based on the results from the third step. The experiments with the DC Motor, Inverted Pendulum System and Two Tanks System are presented in Sects. 4.2, 4.3 and 4.4, respectively. The Inverted Pendulum System is affected by faults which cannot be diagnosed, only detected. For that reason, Step 2 was only applied to the The Inverted Pendulum System.

Lídice Camps Echevarría, Orestes Llanes Santiago, Haroldo Fraga de Campos Velho, Antônio José da Silva Neto

Chapter 5. Final Remarks

Abstract

In this book, it is presented the Fault Diagnosis—Inverse Problem Methodology (FD-IPM), see Sect. 2.1, which is based on the formulation of FDI as a parameter estimation inverse problem. The FD-IPM consists of three hypotheses and four steps which are extensively described in this book.

Lídice Camps Echevarría, Orestes Llanes Santiago, Haroldo Fraga de Campos Velho, Antônio José da Silva Neto

Backmatter

Title: Fault Diagnosis Inverse Problems: Solution with Metaheuristics
Authors: Prof. Dr. Lídice Camps Echevarría
Prof. Dr. Orestes Llanes Santiago
Prof. Dr. Haroldo Fraga de Campos Velho
Prof. Dr. Antônio José da Silva Neto
Copyright Year: 2019
Publisher: Springer International Publishing
Electronic ISBN: 978-3-319-89978-7
Print ISBN: 978-3-319-89977-0
DOI: https://doi.org/10.1007/978-3-319-89978-7

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