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Robust Model-Based Fault Diagnosis for Dynamic Systems

TL;DR: Robust Model-Based Fault Diagnosis for Dynamic Systems targets both newcomers who want to get into this subject, and experts who are concerned with fundamental issues and are also looking for inspiration for future research.
Abstract: There is an increasing demand for dynamic systems to become safer and more reliable This requirement extends beyond the normally accepted safety-critical systems such as nuclear reactors and aircraft, where safety is of paramount importance, to systems such as autonomous vehicles and process control systems where the system availability is vital It is clear that fault diagnosis is becoming an important subject in modern control theory and practice Robust Model-Based Fault Diagnosis for Dynamic Systems presents the subject of model-based fault diagnosis in a unified framework It contains many important topics and methods; however, total coverage and completeness is not the primary concern The book focuses on fundamental issues such as basic definitions, residual generation methods and the importance of robustness in model-based fault diagnosis approaches In this book, fault diagnosis concepts and methods are illustrated by either simple academic examples or practical applications The first two chapters are of tutorial value and provide a starting point for newcomers to this field The rest of the book presents the state of the art in model-based fault diagnosis by discussing many important robust approaches and their applications This will certainly appeal to experts in this field Robust Model-Based Fault Diagnosis for Dynamic Systems targets both newcomers who want to get into this subject, and experts who are concerned with fundamental issues and are also looking for inspiration for future research The book is useful for both researchers in academia and professional engineers in industry because both theory and applications are discussed Although this is a research monograph, it will be an important text for postgraduate research students world-wide The largest market, however, will be academics, libraries and practicing engineers and scientists throughout the world
Citations
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Journal ArticleDOI
TL;DR: A bibliographical review on reconfigurable fault-tolerant control systems (FTCS) is presented, with emphasis on the reconfiguring/restructurable controller design techniques.

2,455 citations


Additional excerpts

  • ...…Rengaswamy, Kavuri, et al., 2003; Willsky, 1976) and books (Barron, 1996; Basseville & Benveniste, 1986; Basseville & Nikiforov, 1993; Chen & Patton, 1999; Chiang et al., 2001; Gertler, 1998; Gustafsson, 2000; Himmelblau, 1978; Isermann, 2006; Mangoubi, 1998; Patton et al., 1989;…...

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  • ...…Kavuri, & Yin, 2003; Willsky, 1976; Zhong, Fang, & Ye, 2007) and books (Barron, 1996; Basseville & Benveniste, 1986; Basseville & Nikiforov, 1993; Chen & Patton, 1999; Chiang, Russell, & Braatz, 2001; Gertler, 1998; Gustafsson, 2000; Himmelblau, 1978; Isermann, 2006; Mangoubi, 1998; Natke…...

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Journal ArticleDOI
TL;DR: This three part series of papers is to provide a systematic and comparative study of various diagnostic methods from different perspectives and broadly classify fault diagnosis methods into three general categories and review them in three parts.

2,263 citations


Cites background from "Robust Model-Based Fault Diagnosis ..."

  • ...Voting systems in isolation do not take advantage of singly or even doubly redundant sensors and hence ignore potential information....

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Book
23 Feb 2008
TL;DR: This book is to introduce basic model-based FDI schemes, advanced analysis and design algorithms and the needed mathematical and control theory tools at a level for graduate students and researchers as well as for engineers.
Abstract: A most critical and important issue surrounding the design of automatic control systems with the successively increasing complexity is guaranteeing a high system performance over a wide operating range and meeting the requirements on system reliability and dependability. As one of the key technologies for the problem solutions, advanced fault detection and identification (FDI) technology is receiving considerable attention. The objective of this book is to introduce basic model-based FDI schemes, advanced analysis and design algorithms and the needed mathematical and control theory tools at a level for graduate students and researchers as well as for engineers.

2,088 citations


Cites background from "Robust Model-Based Fault Diagnosis ..."

  • ...While [76] covers a wide spectrum of the model-based FDI technique, [25] is dedicated to the robustness issues in dealing with the observer-based FDI schemes....

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  • ...Definitions of fault detectability and isolability can be found in the books published recently, for instance [15, 25, 76, 142]....

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  • ...The next two monographs, published by Gertler in 1998 [76] and by Chen and Patton in 1999 [25], address different issues of the model-based FDI technique....

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Journal ArticleDOI
TL;DR: The three-part survey paper aims to give a comprehensive review of real-time fault diagnosis and fault-tolerant control, with particular attention on the results reported in the last decade.
Abstract: With the continuous increase in complexity and expense of industrial systems, there is less tolerance for performance degradation, productivity decrease, and safety hazards, which greatly necessitates to detect and identify any kinds of potential abnormalities and faults as early as possible and implement real-time fault-tolerant operation for minimizing performance degradation and avoiding dangerous situations. During the last four decades, fruitful results have been reported about fault diagnosis and fault-tolerant control methods and their applications in a variety of engineering systems. The three-part survey paper aims to give a comprehensive review of real-time fault diagnosis and fault-tolerant control, with particular attention on the results reported in the last decade. In this paper, fault diagnosis approaches and their applications are comprehensively reviewed from model- and signal-based perspectives, respectively.

2,026 citations


Cites background from "Robust Model-Based Fault Diagnosis ..."

  • ...model or frequency-domain input–output model, which is well revisited by the books [40], [41], [82]....

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Journal ArticleDOI
TL;DR: In this article, the authors present a short introduction to the field and show some applications for an actuator, a passenger car, and a combustion engine, as well as other types of systems.

1,344 citations


Additional excerpts

  • ...Different approaches for fault-detection using mathematical models have been developed in the last 20 years, see, e.g., ( Chen & Patton, 1999; Frank, 1990; Gertler, 1998; Himmelblau, 1978; Isermann, 1984, 1997; Patton, Frank, & Clark, 2000; Willsky, 1976)....

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References
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Book
01 Sep 1988
TL;DR: In this article, the authors present the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields, including computer programming and mathematics.
Abstract: From the Publisher: This book brings together - in an informal and tutorial fashion - the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields Major concepts are illustrated with running examples, and major algorithms are illustrated by Pascal computer programs No prior knowledge of GAs or genetics is assumed, and only a minimum of computer programming and mathematics background is required

52,797 citations

Journal ArticleDOI
01 Jan 1985
TL;DR: A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented and two applications of the method to industrial processes are discussed: a water cleaning process and a converter in a steel-making process.
Abstract: A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented. The premise of an implication is the description of fuzzy subspace of inputs and its consequence is a linear input-output relation. The method of identification of a system using its input-output data is then shown. Two applications of the method to industrial processes are also discussed: a water cleaning process and a converter in a steel-making process.

18,803 citations


"Robust Model-Based Fault Diagnosis ..." refers methods in this paper

  • ...The main idea is to use the Takagi-Sugeno fuzzy model (Takagi and Sugeno, 1985)....

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  • ...A Takagi-Sugeno (T-S) fuzzy model is a simple way to describe a non-linear dynamic system using locally linearized linear models (Takagi and Sugeno, 1985)....

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Book
01 Jan 1994
TL;DR: In this paper, the authors present a brief history of LMIs in control theory and discuss some of the standard problems involved in LMIs, such as linear matrix inequalities, linear differential inequalities, and matrix problems with analytic solutions.
Abstract: Preface 1. Introduction Overview A Brief History of LMIs in Control Theory Notes on the Style of the Book Origin of the Book 2. Some Standard Problems Involving LMIs. Linear Matrix Inequalities Some Standard Problems Ellipsoid Algorithm Interior-Point Methods Strict and Nonstrict LMIs Miscellaneous Results on Matrix Inequalities Some LMI Problems with Analytic Solutions 3. Some Matrix Problems. Minimizing Condition Number by Scaling Minimizing Condition Number of a Positive-Definite Matrix Minimizing Norm by Scaling Rescaling a Matrix Positive-Definite Matrix Completion Problems Quadratic Approximation of a Polytopic Norm Ellipsoidal Approximation 4. Linear Differential Inclusions. Differential Inclusions Some Specific LDIs Nonlinear System Analysis via LDIs 5. Analysis of LDIs: State Properties. Quadratic Stability Invariant Ellipsoids 6. Analysis of LDIs: Input/Output Properties. Input-to-State Properties State-to-Output Properties Input-to-Output Properties 7. State-Feedback Synthesis for LDIs. Static State-Feedback Controllers State Properties Input-to-State Properties State-to-Output Properties Input-to-Output Properties Observer-Based Controllers for Nonlinear Systems 8. Lure and Multiplier Methods. Analysis of Lure Systems Integral Quadratic Constraints Multipliers for Systems with Unknown Parameters 9. Systems with Multiplicative Noise. Analysis of Systems with Multiplicative Noise State-Feedback Synthesis 10. Miscellaneous Problems. Optimization over an Affine Family of Linear Systems Analysis of Systems with LTI Perturbations Positive Orthant Stabilizability Linear Systems with Delays Interpolation Problems The Inverse Problem of Optimal Control System Realization Problems Multi-Criterion LQG Nonconvex Multi-Criterion Quadratic Problems Notation List of Acronyms Bibliography Index.

11,085 citations


"Robust Model-Based Fault Diagnosis ..." refers methods in this paper

  • ...(5) can be solved using the Linear Matrix Inequality (LMI) method (Boyd et al., 1994)....

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  • ...These inequalities can be efficiently solved via numerical approach within the LMI framework (Boyd et al., 1994)....

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Journal ArticleDOI
TL;DR: In this paper, the problem of approximating one matrix by another of lower rank is formulated as a least-squares problem, and the normal equations cannot be immediately written down, since the elements of the approximate matrix are not independent of one another.
Abstract: The mathematical problem of approximating one matrix by another of lower rank is closely related to the fundamental postulate of factor-theory. When formulated as a least-squares problem, the normal equations cannot be immediately written down, since the elements of the approximate matrix are not independent of one another. The solution of the problem is simplified by first expressing the matrices in a canonic form. It is found that the problem always has a solution which is usually unique. Several conclusions can be drawn from the form of this solution. A hypothetical interpretation of the canonic components of a score matrix is discussed.

3,576 citations


Additional excerpts

  • ...Eckart-Young Theorem (Eckart and Young, 1936; Tufts et al., 1982): Let A be an m x n matrix of rank r which has complex elements....

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Journal ArticleDOI
TL;DR: This paper surveys a number of methods for the detection of abrupt changes in stochastic dynamical systems, focusing on the class of linear systems, but the basic concepts carry over to other classes of systems.

2,416 citations


"Robust Model-Based Fault Diagnosis ..." refers background or methods in this paper

  • ...Generalized Likelihood Ratio (GLR) testing and Sequential Probability Ratio Testing (SPRT) (Willsky, 1976; Basseville, 1988) can be used to examine the residual and, subsequently to diagnose faults....

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  • ..., 1975; Clark, 1979; Frank, 1987; Frank, 1990; Patton and Kangethe, 1989; Patton and Chen, 1997) or Kalman filter(s) in a stochastic setting (Mehra and Peschon, 1971; Willsky, 1976; Frank, 1987; Basseville, 1988; Tzafestas and Watanabe, 1990; Da and Lin, 1996; Zolghadri, 1996; Sohlberg, 1998)....

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  • ...• Sequential probability ratio testing (SPRT) (Wald, 1947; Willsky, 1976; Tzafestas and Watanabe, 1990; Grainger, Holst, Isaksson and Ninness, 1995) and modified SPRT (Gai and Gurry, 1977; Speyer and White, 1984; Tzafestas and Watanabe, 1990)....

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  • ...Many variants of the idea of hypothesis testing for FDI have been published since (Willsky, 1976; Basseville, 1988; Tzafestas and Watanabe, 1990; Nikoukhah, 1994; Chang and Chen, 1995; Zolghadri, 1996; Basseville, 1997; Sohlberg, 1998)....

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  • ...10 Fault Diagnosis for Stochastic Systems For stochastic systems, the FDI is based on statistical testing of the residuals (Willsky, 1976; Basseville and Benveniste, 1986; Basseville, 1988; Tzafestas and Watanabe, 1990; Basseville and Nikiforov, 1993; Da and Lin, 1996; Zolghadri, 1996; Basseville, 1997; Sohlberg, 1998), for example:...

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