Robust Identification And Fault Diagnosis Using Set Membership Approaches

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Model-Based Fault Diagnosis Techniques

Author : Steven X. Ding
Publisher : Springer Science & Business Media
ISBN 13 : 1447147995
Total Pages : 533 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Model-Based Fault Diagnosis Techniques by : Steven X. Ding

Download or read book Model-Based Fault Diagnosis Techniques written by Steven X. Ding and published by Springer Science & Business Media. This book was released on 2012-12-20 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guaranteeing a high system performance over a wide operating range is an important issue surrounding the design of automatic control systems with successively increasing complexity. As a key technology in the search for a solution, advanced fault detection and identification (FDI) is receiving considerable attention. This book introduces basic model-based FDI schemes, advanced analysis and design algorithms, and mathematical and control-theoretic tools. This second edition of Model-Based Fault Diagnosis Techniques contains: • new material on fault isolation and identification and alarm management; • extended and revised treatment of systematic threshold determination for systems with both deterministic unknown inputs and stochastic noises; • addition of the continuously-stirred tank heater as a representative process-industrial benchmark; and • enhanced discussion of residual evaluation which now deals with stochastic processes. Model-based Fault Diagnosis Techniques will interest academic researchers working in fault identification and diagnosis and as a text it is suitable for graduate students in a formal university-based course or as a self-study aid for practising engineers working with automatic control or mechatronic systems from backgrounds as diverse as chemical process and power engineering.

Advances in Fault Detection and Diagnosis Using Filtering Analysis

Author : Ziyun Wang
Publisher : Springer Nature
ISBN 13 : 9811659591
Total Pages : 192 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Advances in Fault Detection and Diagnosis Using Filtering Analysis by : Ziyun Wang

Download or read book Advances in Fault Detection and Diagnosis Using Filtering Analysis written by Ziyun Wang and published by Springer Nature. This book was released on 2021-10-25 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides fault detection and diagnosis approaches from the perspective of filtering analysis. In order to design fault detection filters, it uses set-membership principles to deal with the unknown but bounded noise term. Some regular geometric spaces are introduced, such as the ellipsoid, polyhedron, interval, to describe the feasible parameter sets of the given system. Both principles and engineering practice have been addressed, with more weight placed on engineering practice. Some typical application cases are studied for fault detection and diagnosis in detail, which are power converter, permanent magnet synchronous motor, pitch system of wind turbine. Given its scope, the book offers a valuable guide for students, teachers, engineers and researchers in the field of fault detection and diagnosis.

Fault Diagnosis of Dynamic Systems

Author : Teresa Escobet
Publisher : Springer
ISBN 13 : 3030177289
Total Pages : 468 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Fault Diagnosis of Dynamic Systems by : Teresa Escobet

Download or read book Fault Diagnosis of Dynamic Systems written by Teresa Escobet and published by Springer. This book was released on 2019-06-22 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fault Diagnosis of Dynamic Systems provides readers with a glimpse into the fundamental issues and techniques of fault diagnosis used by Automatic Control (FDI) and Artificial Intelligence (DX) research communities. The book reviews the standard techniques and approaches widely used in both communities. It also contains benchmark examples and case studies that demonstrate how the same problem can be solved using the presented approaches. The book also introduces advanced fault diagnosis approaches that are currently still being researched, including methods for non-linear, hybrid, discrete-event and software/business systems, as well as, an introduction to prognosis. Fault Diagnosis of Dynamic Systems is valuable source of information for researchers and engineers starting to work on fault diagnosis and willing to have a reference guide on the main concepts and standard approaches on fault diagnosis. Readers with experience on one of the two main communities will also find it useful to learn the fundamental concepts of the other community and the synergies between them. The book is also open to researchers or academics who are already familiar with the standard approaches, since they will find a collection of advanced approaches with more specific and advanced topics or with application to different domains. Finally, engineers and researchers looking for transferable fault diagnosis methods will also find useful insights in the book.

Modeling, Diagnostics and Process Control

Author : Józef Korbicz
Publisher : Springer Science & Business Media
ISBN 13 : 3642166539
Total Pages : 392 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Modeling, Diagnostics and Process Control by : Józef Korbicz

Download or read book Modeling, Diagnostics and Process Control written by Józef Korbicz and published by Springer Science & Business Media. This book was released on 2010-11-19 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern control systems are complex in the sense of implementing numerous functions, such as process variable processing, digital control, process monitoring and alarm indication, graphic visualization of process running, or data exchange with other systems or databases. This book conveys a description of the developed DiaSter system as well as characteristics of advanced original methods of modeling, knowledge discovery, simulator construction, process diagnosis, as well as predictive and supervision control applied in the system. The system allows early recognition of abnormal states of industrial processes along with faults or malfunctions of actuators as well as technological and measuring units. The universality of solutions implemented in DiaSter facilitates its broad application, for example, in the power, chemical, pharmaceutical, metallurgical and food industries. The system is a world-scale unique solution, and due to its open architecture it can be connected practically with any other control systems. The monograph presents theoretical and practical results of research into fault diagnosis and control conducted over many years within the cooperation of Polish research teams from the Warsaw University of Technology, the University of Zielona Góra, the Silesian University of Technology in Gliwice, and the Technical University of Rzeszów. The book will be of great interest to researchers and advanced students in automatic control, technical diagnostics and computer engineering, and to engineers tasked with the development of advanced control systems of complex industrial processes.

Fault Detection, Supervision and Safety of Technical Processes 2006

Author : Hong-Yue Zhang
Publisher : Elsevier
ISBN 13 : 9780080555393
Total Pages : 1576 pages
Book Rating : 4.5/5 (553 download)

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Book Synopsis Fault Detection, Supervision and Safety of Technical Processes 2006 by : Hong-Yue Zhang

Download or read book Fault Detection, Supervision and Safety of Technical Processes 2006 written by Hong-Yue Zhang and published by Elsevier. This book was released on 2007-03-01 with total page 1576 pages. Available in PDF, EPUB and Kindle. Book excerpt: The safe and reliable operation of technical systems is of great significance for the protection of human life and health, the environment, and of the vested economic value. The correct functioning of those systems has a profound impact also on production cost and product quality. The early detection of faults is critical in avoiding performance degradation and damage to the machinery or human life. Accurate diagnosis then helps to make the right decisions on emergency actions and repairs. Fault detection and diagnosis (FDD) has developed into a major area of research, at the intersection of systems and control engineering, artificial intelligence, applied mathematics and statistics, and such application fields as chemical, electrical, mechanical and aerospace engineering. IFAC has recognized the significance of FDD by launching a triennial symposium series dedicated to the subject. The SAFEPROCESS Symposium is organized every three years since the first symposium held in Baden-Baden in 1991. SAFEPROCESS 2006, the 6th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes was held in Beijing, PR China. The program included three plenary papers, two semi-plenary papers, two industrial talks by internationally recognized experts and 258 regular papers, which have been selected out of a total of 387 regular and invited papers submitted. * Discusses the developments and future challenges in all aspects of fault diagnosis and fault tolerant control * 8 invited and 36 contributed sessions included with a special session on the demonstration of process monitoring and diagnostic software tools

Robust and Fault-Tolerant Control

Author : Krzysztof Patan
Publisher : Springer
ISBN 13 : 303011869X
Total Pages : 231 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Robust and Fault-Tolerant Control by : Krzysztof Patan

Download or read book Robust and Fault-Tolerant Control written by Krzysztof Patan and published by Springer. This book was released on 2019-03-16 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robust and Fault-Tolerant Control proposes novel automatic control strategies for nonlinear systems developed by means of artificial neural networks and pays special attention to robust and fault-tolerant approaches. The book discusses robustness and fault tolerance in the context of model predictive control, fault accommodation and reconfiguration, and iterative learning control strategies. Expanding on its theoretical deliberations the monograph includes many case studies demonstrating how the proposed approaches work in practice. The most important features of the book include: a comprehensive review of neural network architectures with possible applications in system modelling and control; a concise introduction to robust and fault-tolerant control; step-by-step presentation of the control approaches proposed; an abundance of case studies illustrating the important steps in designing robust and fault-tolerant control; and a large number of figures and tables facilitating the performance analysis of the control approaches described. The material presented in this book will be useful for researchers and engineers who wish to avoid spending excessive time in searching neural-network-based control solutions. It is written for electrical, computer science and automatic control engineers interested in control theory and their applications. This monograph will also interest postgraduate students engaged in self-study of nonlinear robust and fault-tolerant control.

Filter Design for System Modeling, State Estimation and Fault Diagnosis

Author : Ziyun Wang
Publisher : CRC Press
ISBN 13 : 1000737888
Total Pages : 250 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Filter Design for System Modeling, State Estimation and Fault Diagnosis by : Ziyun Wang

Download or read book Filter Design for System Modeling, State Estimation and Fault Diagnosis written by Ziyun Wang and published by CRC Press. This book was released on 2022-11-09 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filter Design for System Modeling, State Estimation and Fault Diagnosis analyzes the latest methods in the design of filters for system modeling, state estimation and fault detection with the intention of providing a new perspective of both theoretical and practical aspects. This book also includes fault diagnosis techniques for unknown but bounded systems, their real applications on modeling and fault diagnosis for lithium battery systems, DC-DC converters and spring damping systems. It proposes new methods based on zonotopic Kalman filtering, a variety of state estimation methods of zonotope and its derived algorithms, a state estimation method based on convex space, set inversion interval observer filtering-based guaranteed fault estimation and a novel interval observer filtering-based fault diagnosis. The methods presented in this text are more practical than the common probabilistic-based algorithms, since these can be applied in unknown but bounded noisy environments. This book will be an essential read for students, scholars and engineering professionals who are interested in filter design, system modeling, state estimation, fault diagnosis and related fields.

Advanced and Intelligent Computations in Diagnosis and Control

Author : Zdzisław Kowalczuk
Publisher : Springer
ISBN 13 : 3319231804
Total Pages : 417 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Advanced and Intelligent Computations in Diagnosis and Control by : Zdzisław Kowalczuk

Download or read book Advanced and Intelligent Computations in Diagnosis and Control written by Zdzisław Kowalczuk and published by Springer. This book was released on 2015-09-01 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the demands of research and industrial centers for diagnostics, monitoring and decision making systems that result from the increasing complexity of automation and systems, the need to ensure the highest level of reliability and safety, and continuing research and the development of innovative approaches to fault diagnosis. The contributions combine domains of engineering knowledge for diagnosis, including detection, isolation, localization, identification, reconfiguration and fault-tolerant control. The book is divided into six parts: (I) Fault Detection and Isolation; (II) Estimation and Identification; (III) Robust and Fault Tolerant Control; (IV) Industrial and Medical Diagnostics; (V) Artificial Intelligence; (VI) Expert and Computer Systems.

Fault Diagnosis and Sustainable Control of Wind Turbines

Author : Silvio Simani
Publisher : Butterworth-Heinemann
ISBN 13 : 0128129859
Total Pages : 230 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Fault Diagnosis and Sustainable Control of Wind Turbines by : Silvio Simani

Download or read book Fault Diagnosis and Sustainable Control of Wind Turbines written by Silvio Simani and published by Butterworth-Heinemann. This book was released on 2018-01-02 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fault Diagnosis and Sustainable Control of Wind Turbines: Robust Data-Driven and Model-Based Strategies discusses the development of reliable and robust fault diagnosis and fault-tolerant ('sustainable') control schemes by means of data-driven and model-based approaches. These strategies are able to cope with unknown nonlinear systems and noisy measurements. The book also discusses simpler solutions relying on data-driven and model-based methodologies, which are key when on-line implementations are considered for the proposed schemes. The book targets both professional engineers working in industry and researchers in academic and scientific institutions. In order to improve the safety, reliability and efficiency of wind turbine systems, thus avoiding expensive unplanned maintenance, the accommodation of faults in their early occurrence is fundamental. To highlight the potential of the proposed methods in real applications, hardware–in–the–loop test facilities (representing realistic wind turbine systems) are considered to analyze the digital implementation of the designed solutions. The achieved results show that the developed schemes are able to maintain the desired performances, thus validating their reliability and viability in real-time implementations. Different groups of readers—ranging from industrial engineers wishing to gain insight into the applications' potential of new fault diagnosis and sustainable control methods, to the academic control community looking for new problems to tackle—will find much to learn from this work. - Provides wind turbine models with varying complexity, as well as the solutions proposed and developed by the authors - Addresses in detail the design, development and realistic implementation of fault diagnosis and fault tolerant control strategies for wind turbine systems - Addresses the development of sustainable control solutions that, in general, do not require the introduction of further or redundant measurements - Proposes active fault tolerant ('sustainable') solutions that are able to maintain the wind turbine working conditions with gracefully degraded performance before required maintenance can occur - Presents full coverage of the diagnosis and fault tolerant control problem, starting from the modeling and identification and finishing with diagnosis and fault tolerant control approaches - Provides MATLAB and Simulink codes for the solutions proposed

Diagnosis and Fault-tolerant Control 1

Author : Vicenc Puig
Publisher : John Wiley & Sons
ISBN 13 : 1789450586
Total Pages : 290 pages
Book Rating : 4.7/5 (894 download)

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Book Synopsis Diagnosis and Fault-tolerant Control 1 by : Vicenc Puig

Download or read book Diagnosis and Fault-tolerant Control 1 written by Vicenc Puig and published by John Wiley & Sons. This book was released on 2021-12-29 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent advances in fault diagnosis strategies for complex dynamic systems. Its impetus derives from the need for an overview of the challenges of the fault diagnosis technique, especially for those demanding systems that require reliability, availability, maintainability and safety to ensure efficient operations. Moreover, the need for a high degree of tolerance with respect to possible faults represents a further key point, primarily for complex systems, as modeling and control are inherently challenging, and maintenance is both expensive and safety-critical. Diagnosis and Fault-tolerant Control 1 also presents and compares different diagnosis schemes using established case studies that are widely used in related literature. The main features of this book regard the analysis, design and implementation of proper solutions for the problems of fault diagnosis in safety critical systems. The design of the considered solutions involves robust data-driven, model-based approaches.

Uncertainty in Complex Networked Systems

Author : Tamer Başar
Publisher : Springer
ISBN 13 : 3030046303
Total Pages : 619 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Uncertainty in Complex Networked Systems by : Tamer Başar

Download or read book Uncertainty in Complex Networked Systems written by Tamer Başar and published by Springer. This book was released on 2018-12-14 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume, and the volume itself, celebrate the life and research of Roberto Tempo, a leader in the study of complex networked systems, their analysis and control under uncertainty, and robust designs. Contributors include authorities on uncertainty in systems, robustness, networked and network systems, social networks, distributed and randomized algorithms, and multi-agent systems—all fields that Roberto Tempo made vital contributions to. Additionally, at least one author of each chapter was a research collaborator of Roberto Tempo’s. This volume is structured in three parts. The first covers robustness and includes topics like time-invariant uncertainties, robust static output feedback design, and the uncertainty quartet. The second part is focused on randomization and probabilistic methods, which covers topics such as compressive sensing, and stochastic optimization. Finally, the third part deals with distributed systems and algorithms, and explores matters involving mathematical sociology, fault diagnoses, and PageRank computation. Each chapter presents exposition, provides new results, and identifies fruitful future directions in research. This book will serve as a valuable reference volume to researchers interested in uncertainty, complexity, robustness, optimization, algorithms, and networked systems.

Data-Driven Fault Detection and Reasoning for Industrial Monitoring

Author : Jing Wang
Publisher : Springer Nature
ISBN 13 : 9811680442
Total Pages : 277 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Data-Driven Fault Detection and Reasoning for Industrial Monitoring by : Jing Wang

Download or read book Data-Driven Fault Detection and Reasoning for Industrial Monitoring written by Jing Wang and published by Springer Nature. This book was released on 2022-01-03 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book assesses the potential of data-driven methods in industrial process monitoring engineering. The process modeling, fault detection, classification, isolation, and reasoning are studied in detail. These methods can be used to improve the safety and reliability of industrial processes. Fault diagnosis, including fault detection and reasoning, has attracted engineers and scientists from various fields such as control, machinery, mathematics, and automation engineering. Combining the diagnosis algorithms and application cases, this book establishes a basic framework for this topic and implements various statistical analysis methods for process monitoring. This book is intended for senior undergraduate and graduate students who are interested in fault diagnosis technology, researchers investigating automation and industrial security, professional practitioners and engineers working on engineering modeling and data processing applications. This is an open access book.

Proceeding of the Second International Conference on Microelectronics, Computing & Communication Systems (MCCS 2017)

Author : Vijay Nath
Publisher : Springer
ISBN 13 : 9811082340
Total Pages : 834 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Proceeding of the Second International Conference on Microelectronics, Computing & Communication Systems (MCCS 2017) by : Vijay Nath

Download or read book Proceeding of the Second International Conference on Microelectronics, Computing & Communication Systems (MCCS 2017) written by Vijay Nath and published by Springer. This book was released on 2018-07-30 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume presents high quality papers presented at the Second International Conference on Microelectronics, Computing & Communication Systems (MCCS 2017). The book discusses recent trends in technology and advancement in MEMS and nanoelectronics, wireless communications, optical communication, instrumentation, signal processing, image processing, bioengineering, green energy, hybrid vehicles, environmental science, weather forecasting, cloud computing, renewable energy, RFID, CMOS sensors, actuators, transducers, telemetry systems, embedded systems, and sensor network applications. It includes original papers based on original theoretical, practical, experimental, simulations, development, application, measurement, and testing. The applications and solutions discussed in the book will serve as a good reference material for future works.

Advances in State Estimation, Diagnosis and Control of Complex Systems

Author : Ye Wang
Publisher : Springer Nature
ISBN 13 : 303052440X
Total Pages : 252 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Advances in State Estimation, Diagnosis and Control of Complex Systems by : Ye Wang

Download or read book Advances in State Estimation, Diagnosis and Control of Complex Systems written by Ye Wang and published by Springer Nature. This book was released on 2020-07-30 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents theoretical and practical findings on the state estimation, diagnosis and control of complex systems, especially in the mathematical form of descriptor systems. The research is fully motivated by real-world applications (i.e., Barcelona’s water distribution network), which require control systems capable of taking into account their specific features and the limits of operations in the presence of uncertainties stemming from modeling errors and component malfunctions. Accordingly, the book first introduces a complete set-based framework for explicitly describing the effects of uncertainties in the descriptor systems discussed. In turn, this set-based framework is used for state estimation and diagnosis. The book also presents a number of application results on economic model predictive control from actual water distribution networks and smart grids. Moreover, the book introduces a fault-tolerant control strategy based on virtual actuators and sensors for such systems in the descriptor form.

Fault Diagnosis and Fault-Tolerant Control Strategies for Non-Linear Systems

Author : Marcin Witczak
Publisher : Springer Science & Business Media
ISBN 13 : 3319030140
Total Pages : 239 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Fault Diagnosis and Fault-Tolerant Control Strategies for Non-Linear Systems by : Marcin Witczak

Download or read book Fault Diagnosis and Fault-Tolerant Control Strategies for Non-Linear Systems written by Marcin Witczak and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected fault diagnosis and fault-tolerant control strategies for non-linear systems in a unified framework. In particular, starting from advanced state estimation strategies up to modern soft computing, the discrete-time description of the system is employed Part I of the book presents original research results regarding state estimation and neural networks for robust fault diagnosis. Part II is devoted to the presentation of integrated fault diagnosis and fault-tolerant systems. It starts with a general fault-tolerant control framework, which is then extended by introducing robustness with respect to various uncertainties. Finally, it is shown how to implement the proposed framework for fuzzy systems described by the well-known Takagi–Sugeno models. This research monograph is intended for researchers, engineers, and advanced postgraduate students in control and electrical engineering, computer science, as well as mechanical and chemical engineering.

Complex Systems

Author : Georgi M. Dimirovski
Publisher : Springer
ISBN 13 : 3319288601
Total Pages : 706 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Complex Systems by : Georgi M. Dimirovski

Download or read book Complex Systems written by Georgi M. Dimirovski and published by Springer. This book was released on 2016-05-19 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a wide-ranging description of the many facets of complex dynamic networks and systems within an infrastructure provided by integrated control and supervision: envisioning, design, experimental exploration, and implementation. The theoretical contributions and the case studies presented can reach control goals beyond those of stabilization and output regulation or even of adaptive control. Reporting on work of the Control of Complex Systems (COSY) research program, Complex Systems follows from and expands upon an earlier collection: Control of Complex Systems by introducing novel theoretical techniques for hard-to-control networks and systems. The major common feature of all the superficially diverse contributions encompassed by this book is that of spotting and exploiting possible areas of mutual reinforcement between control, computing and communications. These help readers to achieve not only robust stable plant system operation but also properties such as collective adaptivity, integrity and survivability at the same time retaining desired performance quality. Applications in the individual chapters are drawn from: • the general implementation of model-based diagnosis and systems engineering in medical technology, in communication, and in power and airport networks; • the creation of biologically inspired control brains and safety-critical human–machine systems, • process-industrial uses; • biped robots; • large space structures and unmanned aerial vehicles; and • precision servomechanisms and other advanced technologies. Complex Systems provides researchers from engineering, applied mathematics and computer science backgrounds with innovative theoretical and practical insights into the state-of-the-art of complex networks and systems research. It employs physical implementations and extensive computer simulations. Graduate students specializing in complex-systems research will also learn much from this collection./pp

State Estimation and Fault Diagnosis under Imperfect Measurements

Author : Yang Liu
Publisher : CRC Press
ISBN 13 : 1000641112
Total Pages : 277 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis State Estimation and Fault Diagnosis under Imperfect Measurements by : Yang Liu

Download or read book State Estimation and Fault Diagnosis under Imperfect Measurements written by Yang Liu and published by CRC Press. This book was released on 2022-08-31 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to present the up-to-date research developments and novel methodologies on state estimation and fault diagnosis (FD) techniques for a class of complex systems subject to closed-loop control, nonlinearities, and stochastic phenomena. It covers state estimation design methodologies and FD unit design methodologies including framework of optimal filter and FD unit design, robust filter and FD unit design, stability, and performance analysis for the considered systems subject to various kinds of complex factors. Features: Reviews latest research results on the state estimation and fault diagnosis issues. Presents comprehensive framework constituted for systems under imperfect measurements. Includes quantitative performance analyses to solve problems in practical situations. Provides simulation examples extracted from practical engineering scenarios. Discusses proper and novel techniques such as the Carleman approximation and completing the square method is employed to solve the mathematical problems. This book aims at Graduate students, Professionals and Researchers in Control Science and Application, Stochastic Process, Fault Diagnosis, and Instrumentation and Measurement.