Download or read book LMI Based Stability Analysis of Fuzzy Model Based Control Systems written by Hak-Keung Lam and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability Analysis of Fuzzy Model Based Control Systems written by Hak-Keung Lam and published by Springer Science & Business Media. This book was released on 2011-01-27 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fuzzy Control Systems Design and Analysis written by Kazuo Tanaka and published by John Wiley & Sons. This book was released on 2004-04-07 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Polynomial Fuzzy Model Based Control Systems written by Hak-Keung Lam and published by Springer. This book was released on 2016-07-18 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Stability Analysis of Fuzzy Model based Control Systems with Knowledge on Membership Functions Shapes written by Mohammad Narimani and published by . This book was released on 2011 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book LMI Approach to Analysis and Control of Takagi Sugeno Fuzzy Systems with Time Delay written by Chong Lin and published by Springer Science & Business Media. This book was released on 2007-02-08 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the latest developments in the analysis and control of nonlinear time-delay systems using T-S fuzzy model approach. It presents a comprehensive, up-to-date, and detailed treatment of many interesting topics, such as stability analysis, stabilization, fuzzy variable structure control, fuzzy tracking control, fuzzy observer design, and filter design for T-S fuzzy systems with time delay.
Download or read book Relaxed Stability Analysis of Fuzzy model based Control Systems written by Yanbin Zhao and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thereafter, relaxed sum of squares (SOS)-based stability conditions are derived. In conjunction with these proposed MFD methods, sub-domain fuzzy controllers are utilised to enhance the capability of feedback compensation. In this thesis, all the LMI/SOS-based stability conditions obtained can be solved nu-merically using existing computational tools. Furthermore, simulation examples are provided to illustrate the validity and applicability of the proposed methods.
Download or read book Analysis and Synthesis of Fuzzy Control Systems written by Gang Feng and published by CRC Press. This book was released on 2018-09-03 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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®.
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.
Download or read book Stability Analysis and Nonlinear Observer Design using Takagi Sugeno Fuzzy Models written by Zsófia Lendek and published by Springer Science & Business Media. This book was released on 2010-10-27 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
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.
Download or read book Mathematics Advances in Research and Application 2012 Edition written by and published by ScholarlyEditions. This book was released on 2012-12-26 with total page 1637 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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/.
Download or read book Virtual Equivalent System Approach for Stability Analysis of Model based Control Systems written by Weicun Zhang and published by Springer Nature. This book was released on 2020-06-05 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book puts forward the concept of a virtual equivalent system (VES) based on theoretical analysis and simulation results. The new concept will facilitate the development of a unified framework for analyzing the stability and convergence of self-tuning control (STC) systems, and potentially, of all adaptive control systems. The book then shows that a time-varying STC system can be converted into a time-invariant system using a certain nonlinear compensation signal, which reduces the complexity and difficulty of stability and convergence analysis. In closing, the VES concept and methodology are used to assess the stability of multiple model adaptive control (MMAC) systems and T-S model-based fuzzy control systems.
Download or read book Fuzzy Control Systems with Time Delay and Stochastic Perturbation written by Ligang Wu and published by Springer. This book was released on 2014-10-17 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fuzzy Systems written by Hung T. Nguyen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Stability Issues in Fuzzy Control written by Javier Aracil and published by Physica. This book was released on 2000-03-13 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of contributions to the stability analysis of fuzzy control systems is presented in this book. The contributions are based on a large subset of the stability analysis techniques commonly used in nonlinear control such as the small gain theorem and its related techniques, qualitative methods and the Lyapunov stability theory, among others. Each method has its own domain of application and a different level of practical interest. Robust stability is also considered in some chapters.
Download or read book Fault Diagnosis and Fault Tolerant Control Based on Adaptive Control Approach written by Qikun Shen and published by Springer. This book was released on 2017-02-14 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides recent theoretical developments in and practical applications of fault diagnosis and fault tolerant control for complex dynamical systems, including uncertain systems, linear and nonlinear systems. Combining adaptive control technique with other control methodologies, it investigates the problems of fault diagnosis and fault tolerant control for uncertain dynamic systems with or without time delay. As such, the book provides readers a solid understanding of fault diagnosis and fault tolerant control based on adaptive control technology. Given its depth and breadth, it is well suited for undergraduate and graduate courses on linear system theory, nonlinear system theory, fault diagnosis and fault tolerant control techniques. Further, it can be used as a reference source for academic research on fault diagnosis and fault tolerant control, and for postgraduates in the field of control theory and engineering.
