Control And Filtering Of Fuzzy Systems With Switched Parameters

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Control and Filtering of Fuzzy Systems with Switched Parameters

Author : Shanling Dong
Publisher : Springer Nature
ISBN 13 : 3030355667
Total Pages : 220 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Control and Filtering of Fuzzy Systems with Switched Parameters by : Shanling Dong

Download or read book Control and Filtering of Fuzzy Systems with Switched Parameters written by Shanling Dong and published by Springer Nature. This book was released on 2019-11-25 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent advances in control and filter design for Takagi-Sugeno (T-S) fuzzy systems with switched parameters. Thanks to its powerful ability in transforming complicated nonlinear systems into a set of linear subsystems, the T-S fuzzy model has received considerable attention from those the field of control science and engineering. Typical applications of T-S fuzzy systems include communication networks, and mechanical and power electronics systems. Practical systems often experience abrupt variations in their parameters or structures due to outside disturbances or component failures, and random switching mechanisms have been used to model these stochastic changes, such as the Markov jump principle. There are three general types of controller/filter for fuzzy Markov jump systems: mode-independent, mode-dependent and asynchronous. Mode-independence does not focus on whether modes are accessible and ignores partially useful mode information, which results in some conservatism. The mode-dependent design approach relies on timely, complete and correct information regarding the mode of the studied plant. Factors like component failures and data dropouts often make it difficult to obtain exact mode messages, which further make the mode-dependent controllers/filters less useful. Recently, to overcome these issues, researchers have focused on asynchronous techniques. Asynchronous modes are accessed by observing the original systems based on certain probabilities. The book investigates the problems associated with controller/filter design for all three types. It also considers various networked constraints, such as data dropouts and time delays, and analyzes the performances of the systems based on Lyapunov function and matrix inequality techniques, including the stochastic stability, dissipativity, and $H_\infty$. The book not only shows how these approaches solve the control and filtering problems effectively, but also offers potential meaningful research directions and ideas. Covering a variety of fields, including continuous-time and discrete-time Markov processes, fuzzy systems, robust control, and filter design problems, the book is primarily intended for researchers in system and control theory, and is also a valuable reference resource for graduate and undergraduate students. Further, it provides cases of fuzzy control problems that are of interest to scientists, engineers and researchers in the field of intelligent control. Lastly it is useful for advanced courses focusing on fuzzy modeling, analysis, and control.

Intelligent Control, Filtering and Model Reduction Analysis for Fuzzy-Model-Based Systems

Author : Xiaojie Su
Publisher : Springer Nature
ISBN 13 : 3030812146
Total Pages : 322 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Intelligent Control, Filtering and Model Reduction Analysis for Fuzzy-Model-Based Systems by : Xiaojie Su

Download or read book Intelligent Control, Filtering and Model Reduction Analysis for Fuzzy-Model-Based Systems written by Xiaojie Su and published by Springer Nature. This book was released on 2021-08-17 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to introduce the state-of-the-art research of stability/performance analysis and optimal synthesis methods for fuzzy-model-based systems. A series of problems are solved with new approaches of design, analysis and synthesis of fuzzy systems, including stabilization control and stability analysis, dynamic output feedback control, fault detection filter design, and reduced-order model approximation. Some efficient techniques, such as Lyapunov stability theory, linear matrix inequality, reciprocally convex approach, and cone complementary linearization method, are utilized in the approaches. This book is a comprehensive reference for researchers and practitioners working on intelligent control, model reduction, and fault detection of fuzzy systems, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts and methodologies with theoretical and practical significance in system analysis and control synthesis.

Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems

Author : Hongyi Li
Publisher : Springer
ISBN 13 : 9811005931
Total Pages : 263 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems by : Hongyi Li

Download or read book Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems written by Hongyi Li and published by Springer. This book was released on 2016-02-29 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a set of reference methods capable of modeling uncertainties existing in membership functions, and analyzing and synthesizing the interval type-2 fuzzy systems with desired performances. It also provides numerous simulation results for various examples, which fill certain gaps in this area of research and may serve as benchmark solutions for the readers. Interval type-2 T-S fuzzy models provide a convenient and flexible method for analysis and synthesis of complex nonlinear systems with uncertainties.

State Estimation and Stabilization of Nonlinear Systems

Author : Abdellatif Ben Makhlouf
Publisher : Springer Nature
ISBN 13 : 3031379705
Total Pages : 439 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis State Estimation and Stabilization of Nonlinear Systems by : Abdellatif Ben Makhlouf

Download or read book State Estimation and Stabilization of Nonlinear Systems written by Abdellatif Ben Makhlouf and published by Springer Nature. This book was released on 2023-11-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the separation principle which is also known as the principle of separation of estimation and control and states that, under certain assumptions, the problem of designing an optimal feedback controller for a stochastic system can be solved by designing an optimal observer for the system's state, which feeds into an optimal deterministic controller for the system. Thus, the problem may be divided into two halves, which simplifies its design. In the context of deterministic linear systems, the first instance of this principle is that if a stable observer and stable state feedback are built for a linear time-invariant system (LTI system hereafter), then the combined observer and feedback are stable. The separation principle does not true for nonlinear systems in general. Another instance of the separation principle occurs in the context of linear stochastic systems, namely that an optimum state feedback controller intended to minimize a quadratic cost is optimal for the stochastic control problem with output measurements. The ideal solution consists of a Kalman filter and a linear-quadratic regulator when both process and observation noise are Gaussian. The term for this is linear-quadratic-Gaussian control. More generally, given acceptable conditions and when the noise is a martingale (with potential leaps), a separation principle, also known as the separation principle in stochastic control, applies when the noise is a martingale (with possible jumps).

Control and Nonlinear Dynamics on Energy Conversion Systems

Author : Herbert Ho-Ching Iu
Publisher : MDPI
ISBN 13 : 3039211102
Total Pages : 435 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Control and Nonlinear Dynamics on Energy Conversion Systems by : Herbert Ho-Ching Iu

Download or read book Control and Nonlinear Dynamics on Energy Conversion Systems written by Herbert Ho-Ching Iu and published by MDPI. This book was released on 2019-07-01 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ever-increasing need for higher efficiency, smaller size, and lower cost make the analysis, understanding, and design of energy conversion systems extremely important, interesting, and even imperative. One of the most neglected features in the study of such systems is the effect of the inherent nonlinearities on the stability of the system. Due to these nonlinearities, these devices may exhibit undesirable and complex dynamics, which are the focus of many researchers. Even though a lot of research has taken place in this area during the last 20 years, it is still an active research topic for mainstream power engineers. This research has demonstrated that these systems can become unstable with a direct result in increased losses, extra subharmonics, and even uncontrollability/unobservability. The detailed study of these systems can help in the design of smaller, lighter, and less expensive converters that are particularly important in emerging areas of research like electric vehicles, smart grids, renewable energy sources, and others. The aim of this Special Issue is to cover control and nonlinear aspects of instabilities in different energy conversion systems: theoretical, analysis modelling, and practical solutions for such emerging applications. In this Special Issue, we present novel research works in different areas of the control and nonlinear dynamics of energy conversion systems.

Fault-Tolerant Control for Time-Varying Delayed T-S Fuzzy Systems

Author : Shaoxin Sun
Publisher : Springer Nature
ISBN 13 : 9819913578
Total Pages : 230 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Fault-Tolerant Control for Time-Varying Delayed T-S Fuzzy Systems by : Shaoxin Sun

Download or read book Fault-Tolerant Control for Time-Varying Delayed T-S Fuzzy Systems written by Shaoxin Sun and published by Springer Nature. This book was released on 2023-06-16 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book delves into the complexities of fault estimation and fault-tolerant control for nonlinear time-delayed systems. Through the use of multiple-integral observers, it addresses fault estimation and active fault-tolerant control for time-delayed fuzzy systems with actuator faults and both actuator and sensor faults. Additionally, the book explores the use of sliding mode control to solve issues of sensor fault estimation, intermittent actuator fault estimation, and active fault-tolerant control for time-delayed switched fuzzy systems. Furthermore, it presents the use of H∞ guaranteed cost control for both time-delayed switched fuzzy systems and time-delayed switched fuzzy stochastic systems with intermittent actuator and sensor faults. Finally, the problem of delay-dependent finite-time fault-tolerant control for uncertain switched T-S fuzzy systems with multiple time-varying delays, intermittent process faults and intermittent sensor faults is studied. The research on fault estimation and tolerant control has drawn attention from engineers and scientists in various fields such as electrical, mechanical, aerospace, chemical, and nuclear engineering. The book provides a comprehensive framework for this topic, placing a strong emphasis on the importance of stability analysis and the impact of result conservatism on the design and implementation of observers and controllers. It is intended for undergraduate and graduate students interested in fault diagnosis and tolerant control technology, researchers studying time-varying delayed T-S fuzzy systems, and observer/controller design engineers working on system stability applications.

Multi-model Jumping Systems: Robust Filtering and Fault Detection

Author : Shuping He
Publisher : Springer Nature
ISBN 13 : 9813364742
Total Pages : 188 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Multi-model Jumping Systems: Robust Filtering and Fault Detection by : Shuping He

Download or read book Multi-model Jumping Systems: Robust Filtering and Fault Detection written by Shuping He and published by Springer Nature. This book was released on 2021-03-01 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on multi-model systems, describing how to apply intelligent technologies to model complex multi-model systems by combining stochastic jumping system, neural network and fuzzy models. It focuses on robust filtering, including finite-time robust filtering, finite-frequency robust filtering and higher order moment robust filtering schemes, as well as fault detection problems for multi-model jump systems, such as observer-based robust fault detection, filtering-based robust fault detection and neural network-based robust fault detection methods. The book also demonstrates the validity and practicability of the theoretical results using simulation and practical examples, like circuit systems, robot systems and power systems. Further, it introduces readers to methods such as finite-time filtering, finite-frequency robust filtering, as well as higher order moment and neural network-based fault detection methods for multi-model jumping systems, allowing them to grasp the modeling, analysis and design of the multi-model systems presented and implement filtering and fault detection analysis for various systems, including circuit, network and mechanical systems.

Sliding Mode Control of Semi-Markovian Jump Systems

Author : Baoping Jiang
Publisher : CRC Press
ISBN 13 : 1000425991
Total Pages : 106 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Sliding Mode Control of Semi-Markovian Jump Systems by : Baoping Jiang

Download or read book Sliding Mode Control of Semi-Markovian Jump Systems written by Baoping Jiang and published by CRC Press. This book was released on 2021-08-23 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents analysis and design for a class of stochastic systems with semi-Markovian jump parameters. It explores systematic analysis of semi-Markovian jump systems via sliding mode control strategy which makes up the shortages in the analysis and design of stochastic systems. This text provides a novel estimation method to deal with the stochastic stability of semi-Markovian jump systems along with design of novel integral sliding surface. Finally, Takagi-Sugeno fuzzy model approach is brought to deal with system nonlinearities and fuzzy sliding mode control laws are provided to ensure the stabilization purpose. Features: Presents systematic work on sliding mode control (SMC) of semi-Markvoain jump systems. Explores SMC methods, such as fuzzy SMC, adaptive SMC, with the presence of generally uncertain transition rates. Provides novel method in dealing with stochastic systems with unknown switching information. Proposes more general theories for semi-Markovian jump systems with generally uncertain transition rates. Discusses practical examples to verify the effectiveness of SMC theory in semi-Markovian jump systems. This book aims at graduate and postgraduate students and for researchers in all engineering disciplines, including mechanical engineering, electrical engineering and applied mathematics, control engineering, signal processing, process control, control theory and robotics.

Observer-Based Fault Diagnosis and Fault-Tolerant Control for Switched Systems

Author : Dongsheng Du
Publisher : Springer Nature
ISBN 13 : 9811590737
Total Pages : 289 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Observer-Based Fault Diagnosis and Fault-Tolerant Control for Switched Systems by : Dongsheng Du

Download or read book Observer-Based Fault Diagnosis and Fault-Tolerant Control for Switched Systems written by Dongsheng Du and published by Springer Nature. This book was released on 2020-10-21 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the fault diagnosis observer design for the switched system. Model-based fault diagnosis and fault tolerant control are one of the most popular research directions in recent decades. It contains eight chapters. Every chapter is independent in the method of observer design, but all chapters are around the same topic. Besides, in each chapter, the model description and theoretical results are firstly provided, then some practical application examples are illustrated to prove the obtained results. The advanced theoretical methodologies will benefit researchers or engineers in the area of safety engineering and the arrangement of the structure will help the readers to understand the content easily.

Networked Control Systems

Author : Fei-Yue Wang
Publisher : Springer Science & Business Media
ISBN 13 : 1848002157
Total Pages : 352 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Networked Control Systems by : Fei-Yue Wang

Download or read book Networked Control Systems written by Fei-Yue Wang and published by Springer Science & Business Media. This book was released on 2008-06-17 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Networked control systems (NCS) confer advantages of cost reduction, system diagnosis and flexibility, minimizing wiring and simplifying the addition and replacement of individual elements; efficient data sharing makes taking globally intelligent control decisions easier with NCS. The applications of NCS range from the large scale of factory automation and plant monitoring to the smaller networks of computers in modern cars, places and autonomous robots. Networked Control Systems presents recent results in stability and robustness analysis and new developments related to networked fuzzy and optimal control. Many chapters contain case-studies, experimental, simulation or other application-related work showing how the theories put forward can be implemented. The state-of-the art research reported in this volume by an international team of contributors makes it an essential reference for researchers and postgraduate students in control, electrical, computer and mechanical engineering and computer science.

Non-monotonic Approach to Robust H∞ Control of Multi-model Systems

Author : Jiwei Wen
Publisher : Academic Press
ISBN 13 : 0128148691
Total Pages : 224 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Non-monotonic Approach to Robust H∞ Control of Multi-model Systems by : Jiwei Wen

Download or read book Non-monotonic Approach to Robust H∞ Control of Multi-model Systems written by Jiwei Wen and published by Academic Press. This book was released on 2019-06-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-monotonic Approach to Robust H8 Control of Multi-model Systems focuses on robust analysis and synthesis problems for multi-model systems based on the non-monotonic Lyapunov Functionals (LFs) approach that enlarges the stability region and improves control performance. By fully considering the diversity of switching laws, the multi-step time difference, the multi-step prediction, and the expansion of system dimension, the non-monotonic LF can be properly constructed. The focus of this book is placed on the H8 state feedback control, H8 filtering and H8 output feedback control for multi-model systems via a non-monotonic LF approach. The book's authors provide illustrative examples to show the feasibility and efficiency of the proposed methods, along with practical examples that demonstrate the effectiveness and potential of theoretical results. - Offers tools for the analysis and design of control processes where the process can be represented by multi-models - Presents a comprehensive explanation of recent developments in non-monotonic approaches to robust H-infinity control of multi-model systems - Gives numerical examples and simulation results in each chapter to demonstrate engineering potential

Control Strategy for Time-Delay Systems

Author : Mohammad-Hassan Khooban
Publisher : Academic Press
ISBN 13 : 0128206144
Total Pages : 438 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Control Strategy for Time-Delay Systems by : Mohammad-Hassan Khooban

Download or read book Control Strategy for Time-Delay Systems written by Mohammad-Hassan Khooban and published by Academic Press. This book was released on 2020-11-21 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Strategy for Time-Delay Systems Part I: Concepts and Theories covers all the important features of real-world practical applications which will be valuable to practicing engineers and specialists, especially given that delays are present in 99% of industrial processes. The book presents the views of the editors on promising research directions and future industrial applications in this area. Although the fundamentals of time-delay systems are discussed, the book focuses on the advanced modeling and control of such systems and will provide the analysis and test (or simulation) results of nearly every technique described. For this purpose, highly complex models are introduced to ?describe the mentioned new applications, which are characterized by ?time-varying delays with intermittent and stochastic nature, several types of nonlinearities, and the presence ?of different time-scales. Researchers, practitioners, and PhD students will gain insights into the prevailing trends in design and operation of real-time control systems, reviewing the shortcomings and future developments concerning practical system issues, such as standardization, protection, and design. - Presents an overview of the most recent trends for time-delay systems - Covers the important features of the real-world practical applications that can be valuable to practicing engineers and specialists - Provides analysis and simulations results of the techniques described in the book

Energy Management System for Dispatchable Renewable Power Generation

Author : Amer Al-Hinai
Publisher : CRC Press
ISBN 13 : 100078018X
Total Pages : 276 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Energy Management System for Dispatchable Renewable Power Generation by : Amer Al-Hinai

Download or read book Energy Management System for Dispatchable Renewable Power Generation written by Amer Al-Hinai and published by CRC Press. This book was released on 2022-11-30 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enhancing the integration of renewable power generation from wind and solar into the traditional power network requires the mitigation of the vulnerabilities affecting the grid as a result of the intermittent nature of these resources. Variability and ramp events in power output are the key challenges to the system operators due to their impact on system balancing, reserves management, scheduling, and commitment of generation units. This book presents development of energy management system for renewable power generation (EMSRPG) tool that aims to achieve power-dispatching strategies based on forecasting renewable energy resources outputs to guarantee optimal dispatch of hybrid wind-solar photovoltaic power systems (HWSPS). The key selling points of the book include the following: Renewable energy management in modern and future smart power systems Energy management systems Modeling and simulations using a real-time digital simulator (RTDS) High penetration level of renewable energy sources Case studies based on Oman’s power systems and other power grids This book discusses the challenges of integrating renewable resources, including low inertia systems, hosting capacity limitations of existing power systems, and weak grids. It further examines the detailed topologies, operation principles, recent developments in control techniques, and stability of power systems with a large scale of renewables. Finally, it presents case studies of recent projects from around the world where dispatchable power plant techniques are used to enhance power system operation.

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.

Innovations in Intelligent Machines-5

Author : Valentina Emilia Balas
Publisher : Springer
ISBN 13 : 3662433702
Total Pages : 261 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Innovations in Intelligent Machines-5 by : Valentina Emilia Balas

Download or read book Innovations in Intelligent Machines-5 written by Valentina Emilia Balas and published by Springer. This book was released on 2014-05-22 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph presents selected areas of applications in the field of control systems engineering using computational intelligence methodologies. A number of applications and case studies are introduced. These methodologies are increasing used in many applications of our daily lives. Approaches include, fuzzy-neural multi model for decentralized identification, model predictive control based on time dependent recurrent neural network development of cognitive systems, developments in the field of Intelligent Multiple Models based Adaptive Switching Control, designing military training simulators using modelling, simulation, and analysis for operational analyses and training, methods for modelling of systems based on the application of Gaussian processes, computational intelligence techniques for process control and image segmentation technique based on modified particle swarm optimized-fuzzy entropy.

Analysis and Synthesis for Discrete-Time Switched Systems

Author : Zhongyang Fei
Publisher : Springer
ISBN 13 : 3030258122
Total Pages : 212 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Analysis and Synthesis for Discrete-Time Switched Systems by : Zhongyang Fei

Download or read book Analysis and Synthesis for Discrete-Time Switched Systems written by Zhongyang Fei and published by Springer. This book was released on 2019-08-02 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent theoretical advances in the analysis and synthesis of discrete-time switched systems under the time-dependent switching scheme, including stability and disturbance attenuation performance analysis, control and filtering, asynchronous switching, finite-time analysis and synthesis, and reachable set estimation. It discusses time-scheduled technology, which can achieve a better performance and reduce conservatism compared with the traditional time-independent approach. Serving as a reference resource for researchers and engineers in the system and control community, it is also useful for graduate and undergraduate students interested in switched systems and their applications.

Robust Engineering Designs of Partial Differential Systems and Their Applications

Author : Bor-Sen Chen
Publisher : CRC Press
ISBN 13 : 1000514064
Total Pages : 459 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Robust Engineering Designs of Partial Differential Systems and Their Applications by : Bor-Sen Chen

Download or read book Robust Engineering Designs of Partial Differential Systems and Their Applications written by Bor-Sen Chen and published by CRC Press. This book was released on 2021-12-22 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most systems in science, engineering, and biology are of partial differential systems (PDSs) modeled by partial differential equations. Many books about partial differential equations have been written by mathematicians and mainly address some fundamental mathematic backgrounds and discuss some mathematic properties of partial differential equations. Only a few books on PDSs have been written by engineers; however, these books have focused mainly on the theoretical stabilization analysis of PDSs, especially mechanical systems. This book investigates both robust stabilization control design and robust filter design and reference tracking control design in mechanical, signal processing, and control systems to fill a gap in the study of PDSs. Robust Engineering Designs of Partial Differential Systems and Their Applications offers some fundamental background in the first two chapters. The rest of the chapters focus on a specific design topic with a corresponding deep investigation into robust H∞ filtering, stabilization, or tracking design for more complex and practical PDSs under stochastic fluctuation and external disturbance. This book is aimed at engineers and scientists and addresses the gap between the theoretical stabilization results of PDSs in academic and practical engineering designs more focused on the robust H∞ filtering, stabilization, and tracking control problems of linear and nonlinear PDSs under intrinsic random fluctuation and external disturbance in industrial applications. Part I provides backgrounds on PDSs, such as Galerkin’s, and finite difference methods to approximate PDSs and a fuzzy method to approximate nonlinear PDSs. Part II examines robust H∞ filter designs for the robust state estimation of linear and nonlinear stochastic PDSs. And Part III treats robust H∞ stabilization and tracking control designs of linear and nonlinear PDSs. Every chapter focuses on an engineering design topic with both theoretical design analysis and practical design examples.