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Stability Analysis of Fuzzy-Model-Based Control Systems

Author: Hak-Keung Lam

Publisher: Springer Science & Business Media

Published: 2011-01-27

Total Pages: 239

ISBN-13: 364217843X

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

Author: Hak-Keung Lam

Publisher: Springer

Published: 2016-07-18

Total Pages: 307

ISBN-13: 3319340948

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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.

Analysis and Synthesis of Fuzzy Control Systems

Author: Gang Feng

Publisher: CRC Press

Published: 2018-09-03

Total Pages: 299

ISBN-13: 1420092650

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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®.

Fuzzy Control Systems Design and Analysis

Author: Kazuo Tanaka

Publisher: John Wiley & Sons

Published: 2004-04-07

Total Pages: 321

ISBN-13: 0471465224

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A comprehensive treatment of model-based fuzzy control systems This volume offers full coverage of the systematic framework for the stability and design of nonlinear fuzzy control systems. Building on the Takagi-Sugeno fuzzy model, authors Tanaka and Wang address a number of important issues in fuzzy control systems, including stability analysis, systematic design procedures, incorporation of performance specifications, numerical implementations, and practical applications. Issues that have not been fully treated in existing texts, such as stability analysis, systematic design, and performance analysis, are crucial to the validity and applicability of fuzzy control methodology. Fuzzy Control Systems Design and Analysis addresses these issues in the framework of parallel distributed compensation, a controller structure devised in accordance with the fuzzy model. This balanced treatment features an overview of fuzzy control, modeling, and stability analysis, as well as a section on the use of linear matrix inequalities (LMI) as an approach to fuzzy design and control. It also covers advanced topics in model-based fuzzy control systems, including modeling and control of chaotic systems. Later sections offer practical examples in the form of detailed theoretical and experimental studies of fuzzy control in robotic systems and a discussion of future directions in the field. Fuzzy Control Systems Design and Analysis offers an advanced treatment of fuzzy control that makes a useful reference for researchers and a reliable text for advanced graduate students in the field.

LMI-Based Stability Analysis of Fuzzy-Model-Based Control Systems

Author: Hak-Keung Lam

Publisher:

Published: 2011

Total Pages:

ISBN-13:

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Stability Analysis and Nonlinear Observer Design using Takagi-Sugeno Fuzzy Models

Author: Zsófia Lendek

Publisher: Springer Science & Business Media

Published: 2010-10-27

Total Pages: 204

ISBN-13: 3642167756

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Many problems in decision making, monitoring, fault detection, and control require the knowledge of state variables and time-varying parameters that are not directly measured by sensors. In such situations, observers, or estimators, can be employed that use the measured input and output signals along with a dynamic model of the system in order to estimate the unknown states or parameters. An essential requirement in designing an observer is to guarantee the convergence of the estimates to the true values or at least to a small neighborhood around the true values. However, for nonlinear, large-scale, or time-varying systems, the design and tuning of an observer is generally complicated and involves large computational costs. This book provides a range of methods and tools to design observers for nonlinear systems represented by a special type of a dynamic nonlinear model -- the Takagi--Sugeno (TS) fuzzy model. The TS model is a convex combination of affine linear models, which facilitates its stability analysis and observer design by using effective algorithms based on Lyapunov functions and linear matrix inequalities. Takagi--Sugeno models are known to be universal approximators and, in addition, a broad class of nonlinear systems can be exactly represented as a TS system. Three particular structures of large-scale TS models are considered: cascaded systems, distributed systems, and systems affected by unknown disturbances. The reader will find in-depth theoretic analysis accompanied by illustrative examples and simulations of real-world systems. Stability analysis of TS fuzzy systems is addressed in detail. The intended audience are graduate students and researchers both from academia and industry. For newcomers to the field, the book provides a concise introduction dynamic TS fuzzy models along with two methods to construct TS models for a given nonlinear system

Fuzzy Systems

Author: Hung T. Nguyen

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 532

ISBN-13: 1461555051

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The analysis and control of complex systems have been the main motivation for the emergence of fuzzy set theory since its inception. It is also a major research field where many applications, especially industrial ones, have made fuzzy logic famous. This unique handbook is devoted to an extensive, organized, and up-to-date presentation of fuzzy systems engineering methods. The book includes detailed material and extensive bibliographies, written by leading experts in the field, on topics such as: Use of fuzzy logic in various control systems. Fuzzy rule-based modeling and its universal approximation properties. Learning and tuning techniques for fuzzy models, using neural networks and genetic algorithms. Fuzzy control methods, including issues such as stability analysis and design techniques, as well as the relationship with traditional linear control. Fuzzy sets relation to the study of chaotic systems, and the fuzzy extension of set-valued approaches to systems modeling through the use of differential inclusions. Fuzzy Systems: Modeling and Control is part of The Handbooks of Fuzzy Sets Series. The series provides a complete picture of contemporary fuzzy set theory and its applications. This volume is a key reference for systems engineers and scientists seeking a guide to the vast amount of literature in fuzzy logic modeling and control.

Stability Analysis of Fuzzy Model-based Control Systems with Knowledge on Membership Functions' Shapes

Author: Mohammad Narimani

Publisher:

Published: 2011

Total Pages: 286

ISBN-13:

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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.

Model Based Fuzzy Control

Author: Rainer Palm

Publisher: Springer Science & Business Media

Published: 1997

Total Pages: 204

ISBN-13: 9783540614715

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Introduction to model based fuzzy control; The FLC as a nonlinear transfer element; model based design of sliding mode FLC; Model based design of Takagi-Sugeno FLCs; References; Index.

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

Author: Xiaojie Su

Publisher: Springer Nature

Published: 2021-08-17

Total Pages: 322

ISBN-13: 3030812146

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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.