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Materials - Mechanics | Fault Detection and Diagnosis in Nonlinear Systems - A Differential and Algebraic Viewpoint

Fault Detection and Diagnosis in Nonlinear Systems

A Differential and Algebraic Viewpoint

Martinez-Guerra, Rafael, Mata-Machuca, Juan Luis

2014, XVII, 128 p. 31 illus., 11 illus. in color.

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  • Authored by leading researchers in the field
  • Systematically introduces the residual generator method for fault detection in nonlinear dynamical systems
  • Self-contained and tutorial presentation

The high reliability required in industrial processes has created the necessity of detecting abnormal conditions, called faults, while processes are operating. The term fault generically refers to any type of process degradation, or degradation in equipment performance because of changes in the process's physical characteristics, process inputs or environmental conditions. This book is about the fundamentals of fault detection and diagnosis in a variety of nonlinear systems which are represented by ordinary differential equations. The fault detection problem is approached from a differential algebraic viewpoint, using residual generators based upon high-gain nonlinear auxiliary systems (‘observers’). A prominent role is played by the type of mathematical tools that will be used, requiring knowledge of differential algebra and differential equations. Specific theorems tailored to the needs of the problem-solving procedures are developed and proved. Applications to real-world problems, both with constant and time-varying faults, are made throughout the book and include electromechanical positioning systems, the Continuous Stirred Tank Reactor (CSTR), bioreactor models and belt drive systems, to name but a few.

Content Level » Research

Keywords » Differential Field Extension - Differential Transcendence Degree - Nonlinear High-gain Observers - Residual Generator Method for Dynamical Systems

Related subjects » Mechanics - Production & Process Engineering - Statistical Physics & Dynamical Systems

Table of contents 

The Fault Detection Problem in Nonlinear Systems using Residual Generators.- Fault Detection in CSTR Using Nonlinear Observers.- Diagnosis of Nonlinear Systems Using the Concept of Differential Transcendence Degree.- On Nonlinear System Diagnosis Via High-Gain Observers: a Case Study.- Fault Detection in a Belt-drive System.- Fault Diagnosis Viewed as a Left Invertibility Problem.- Fault Estimation Using Sliding Mode Observers.- Diagnosis for a Class of Non-differentially Flat and Liouvillian Systems.- Fault Estimation Using a Polynomial Observer: A Real-time Applicaton.- Index.

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