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Stability Analysis Of Fuzzy Model Based Control Systems With Knowledge On Membership Functions Shapes


Stability Analysis Of Fuzzy Model Based Control Systems With Knowledge On Membership Functions Shapes
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Stability Analysis Of Fuzzy Model Based Control Systems


Stability Analysis Of Fuzzy Model Based Control Systems
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Author : Hak-Keung Lam
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-27

Stability Analysis Of Fuzzy Model Based Control Systems written by Hak-Keung Lam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-27 with Computers categories.


In this book, the state-of-the-art fuzzy-model-based (FMB) based control approaches are covered. A comprehensive review about the stability analysis of type-1 and type-2 FMB control systems using the Lyapunov-based approach is given, presenting a clear picture to researchers who would like to work on this field. A wide variety of continuous-time nonlinear control systems such as state-feedback, switching, time-delay and sampled-data FMB control systems, are covered. In short, this book summarizes the recent contributions of the authors on the stability analysis of the FMB control systems. It discusses advanced stability analysis techniques for various FMB control systems, and founds a concrete theoretical basis to support the investigation of FMB control systems at the research level. The analysis results of this book offer various mathematical approaches to designing stable and well-performed FMB control systems. Furthermore, the results widen the applicability of the FMB control approach and help put the fuzzy controller in practice. A wide range of advanced analytical and mathematical analysis techniques will be employed to investigate the system stability and performance of FMB-based control systems in a rigorous manner. Detailed analysis and derivation steps are given to enhance the readability, enabling the readers who are unfamiliar with the FMB control systems to follow the materials easily. Simulation examples, with figures and plots of system responses, are given to demonstrate the effectiveness of the proposed FMB control approaches.



Polynomial Fuzzy Model Based Control Systems


Polynomial Fuzzy Model Based Control Systems
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Author : Hak-Keung Lam
language : en
Publisher: Springer
Release Date : 2016-07-18

Polynomial Fuzzy Model Based Control Systems written by Hak-Keung Lam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-18 with Technology & Engineering categories.


This book presents recent research on the stability analysis of polynomial-fuzzy-model-based control systems where the concept of partially/imperfectly matched premises and membership-function dependent analysis are considered. The membership-function-dependent analysis offers a new research direction for fuzzy-model-based control systems by taking into account the characteristic and information of the membership functions in the stability analysis. The book presents on a research level the most recent and advanced research results, promotes the research of polynomial-fuzzy-model-based control systems, and provides theoretical support and point a research direction to postgraduate students and fellow researchers. Each chapter provides numerical examples to verify the analysis results, demonstrate the effectiveness of the proposed polynomial fuzzy control schemes, and explain the design procedure. The book is comprehensively written enclosing detailed derivation steps and mathematical derivations also for readers without extensive knowledge on the topics including students with control background who are interested in polynomial fuzzy model-based control systems.



Stability Analysis Of Fuzzy Model Based Control Systems With Knowledge On Membership Functions Shapes


Stability Analysis Of Fuzzy Model Based Control Systems With Knowledge On Membership Functions Shapes
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Author : Mohammad Narimani
language : en
Publisher:
Release Date : 2011

Stability Analysis Of Fuzzy Model Based Control Systems With Knowledge On Membership Functions Shapes written by Mohammad Narimani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Fuzzy systems categories.


In this thesis using fuzzy logic methodology, the stability of complex nonlinear control systems is investigated. Fuzzy-Model-Based (FMB) control system offers a systematic platform in handling control problems from the point of view of stability analysis. In this platform, Membership Functions (MFs) gather the overall nonlinear properties of the control system. The lack of the information of MFs is one the main sources of conservativeness in the current stability analysis approaches. To widen the applicability of the FMB control scheme, the aim of the proposed research the¬sis is to derive less conservative stability conditions. Therefore, some attempts are made to obtain relaxed shape-dependent stability conditions. The results of this investigation are presented in three parts as follows: 1. The stability analysis of FMB control systems under Parallel Distributed Com¬ pensation (PDC) is carried out. First, the stability conditions, which are the inequal¬ ities in the form of p-dimensional fuzzy summation, are expanded to n-dimensional fuzzy summation (n > p). The global and regional boundary information of MFs are then utilized for relaxation of stability analysis results and two analysis approaches are proposed namely Global-Membership-Function-Shape-Dependent (GMFSD) ap¬ proach and Regional-Membership-Function-Shape-Dependent (RMFSD) approach, respectively. For RMFSD approach the operating region is partitioned into subre- glons and the boundary information of MFs on all operating subregions are employed to facilitate the stability analysis. The stability conditions are derived in the form of Linear Matrix Inequality (LMI). 2. Employing Sum of Squares (SOS) approach, relaxed stability conditions for Polynomial-Fuzzy-Model-Based (PFMB) control systems are derived. First, MFs are approximated by some polynomials in the partitioned operating domain of MFs.



Intelligent Control Filtering And Model Reduction Analysis For Fuzzy Model Based Systems


Intelligent Control Filtering And Model Reduction Analysis For Fuzzy Model Based Systems
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Author : Xiaojie Su
language : en
Publisher: Springer Nature
Release Date : 2021-08-17

Intelligent Control Filtering And Model Reduction Analysis For Fuzzy Model Based Systems written by Xiaojie Su and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-17 with Technology & Engineering categories.


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.



Fuzzy Control Systems With Time Delay And Stochastic Perturbation


Fuzzy Control Systems With Time Delay And Stochastic Perturbation
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Author : Ligang Wu
language : en
Publisher: Springer
Release Date : 2014-10-17

Fuzzy Control Systems With Time Delay And Stochastic Perturbation written by Ligang Wu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-17 with Technology & Engineering categories.


This book presents up-to-date research developments and novel methodologies on fuzzy control systems. It presents solutions to a series of problems with new approaches for the analysis and synthesis of fuzzy time-delay systems and fuzzy stochastic systems, including stability analysis and stabilization, dynamic output feedback control, robust filter design, and model approximation. A set of newly developed techniques such as fuzzy Lyapunov function approach, delay-partitioning, reciprocally convex, cone complementary linearization approach are presented. Fuzzy Control Systems with Time-Delay and Stochastic Perturbation: Analysis and Synthesis is a comprehensive reference for researcher and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.



Analysis And Synthesis Of Fuzzy Control Systems


Analysis And Synthesis Of Fuzzy Control Systems
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Author : Gang Feng
language : en
Publisher: CRC Press
Release Date : 2018-09-03

Analysis And Synthesis Of Fuzzy Control Systems written by Gang Feng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Technology & Engineering categories.


Fuzzy logic control (FLC) has proven to be a popular control methodology for many complex systems in industry, and is often used with great success as an alternative to conventional control techniques. However, because it is fundamentally model free, conventional FLC suffers from a lack of tools for systematic stability analysis and controller design. To address this problem, many model-based fuzzy control approaches have been developed, with the fuzzy dynamic model or the Takagi and Sugeno (T–S) fuzzy model-based approaches receiving the greatest attention. Analysis and Synthesis of Fuzzy Control Systems: A Model-Based Approach offers a unique reference devoted to the systematic analysis and synthesis of model-based fuzzy control systems. After giving a brief review of the varieties of FLC, including the T–S fuzzy model-based control, it fully explains the fundamental concepts of fuzzy sets, fuzzy logic, and fuzzy systems. This enables the book to be self-contained and provides a basis for later chapters, which cover: T–S fuzzy modeling and identification via nonlinear models or data Stability analysis of T–S fuzzy systems Stabilization controller synthesis as well as robust H∞ and observer and output feedback controller synthesis Robust controller synthesis of uncertain T–S fuzzy systems Time-delay T–S fuzzy systems Fuzzy model predictive control Robust fuzzy filtering Adaptive control of T–S fuzzy systems A reference for scientists and engineers in systems and control, the book also serves the needs of graduate students exploring fuzzy logic control. It readily demonstrates that conventional control technology and fuzzy logic control can be elegantly combined and further developed so that disadvantages of conventional FLC can be avoided and the horizon of conventional control technology greatly extended. Many chapters feature application simulation examples and practical numerical examples based on MATLAB®.



Analysis And Synthesis Of Nonlinear Control Systems


Analysis And Synthesis Of Nonlinear Control Systems
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Author : Miguel Bernal
language : en
Publisher: Springer Nature
Release Date : 2022-02-05

Analysis And Synthesis Of Nonlinear Control Systems written by Miguel Bernal and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-05 with Technology & Engineering categories.


This book presents a modern perspective on the modelling, analysis, and synthesis ideas behind convex-optimisation-based control of nonlinear systems: it embeds them in models with convex structures. Analysis and Synthesis of Nonlinear Control Systems begins with an introduction to the topic and a discussion of the problems to be solved. It then explores modelling via convex structures, including quasi-linear parameter-varying, Takagi–Sugeno models, and linear fractional transformation structures. The authors cover stability analysis, addressing Lyapunov functions and the stability of polynomial models, as well as the performance and robustness of the models. With detailed examples, simulations, and programming code, this book will be useful to instructors, researchers, and graduate students interested in nonlinear control systems.



Stability Analysis Of Fuzzy Model Based Control Systems


Stability Analysis Of Fuzzy Model Based Control Systems
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Author : Hak-Keung Lam
language : en
Publisher: Springer
Release Date : 2014-11-14

Stability Analysis Of Fuzzy Model Based Control Systems written by Hak-Keung Lam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-14 with Computers categories.


In this book, the state-of-the-art fuzzy-model-based (FMB) based control approaches are covered. A comprehensive review about the stability analysis of type-1 and type-2 FMB control systems using the Lyapunov-based approach is given, presenting a clear picture to researchers who would like to work on this field. A wide variety of continuous-time nonlinear control systems such as state-feedback, switching, time-delay and sampled-data FMB control systems, are covered. In short, this book summarizes the recent contributions of the authors on the stability analysis of the FMB control systems. It discusses advanced stability analysis techniques for various FMB control systems, and founds a concrete theoretical basis to support the investigation of FMB control systems at the research level. The analysis results of this book offer various mathematical approaches to designing stable and well-performed FMB control systems. Furthermore, the results widen the applicability of the FMB control approach and help put the fuzzy controller in practice. A wide range of advanced analytical and mathematical analysis techniques will be employed to investigate the system stability and performance of FMB-based control systems in a rigorous manner. Detailed analysis and derivation steps are given to enhance the readability, enabling the readers who are unfamiliar with the FMB control systems to follow the materials easily. Simulation examples, with figures and plots of system responses, are given to demonstrate the effectiveness of the proposed FMB control approaches.



Mathematics Advances In Research And Application 2012 Edition


Mathematics Advances In Research And Application 2012 Edition
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Author :
language : en
Publisher: ScholarlyEditions
Release Date : 2012-12-26

Mathematics Advances In Research And Application 2012 Edition written by and has been published by ScholarlyEditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-26 with Mathematics categories.


Mathematics—Advances in Research and Application: 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Mathematics. The editors have built Mathematics—Advances in Research and Application: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Mathematics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Mathematics—Advances in Research and Application: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.



Introduction To Fuzzy Sets Fuzzy Logic And Fuzzy Control Systems


Introduction To Fuzzy Sets Fuzzy Logic And Fuzzy Control Systems
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Author : Guanrong Chen
language : en
Publisher: CRC Press
Release Date : 2000-11-27

Introduction To Fuzzy Sets Fuzzy Logic And Fuzzy Control Systems written by Guanrong Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-27 with Mathematics categories.


In the early 1970s, fuzzy systems and fuzzy control theories added a new dimension to control systems engineering. From its beginnings as mostly heuristic and somewhat ad hoc, more recent and rigorous approaches to fuzzy control theory have helped make it an integral part of modern control theory and produced many exciting results. Yesterday's "art