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Polynomial fuzzy model-based control systems : stability analysis and control synthesis using membership function dependent techniques

Author: Hak-Keung Lam
Publisher: Switzerland : Springer, 2016.
Series: Studies in systems, decision and control, v. 64.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hak-Keung Lam
ISBN: 9783319340944 3319340948 3319340921 9783319340920
OCLC Number: 953834053
Description: 1 online resource (xix, 296 pages) : illustrations.
Contents: Preface; Part I Introduction and Preliminaries; Part II Stability Analysis Techniques; Part III Advanced Control Methodologies; Part IV Advanced Lyapunov Functions; Acknowledgments; Contents; Acronyms; Part I Introduction and Preliminaries; 1 Introduction; 1.1 Background; 1.2 Fuzzy Model-Based Control; 1.2.1 Fuzzy Models; 1.2.2 Fuzzy Controllers; 1.2.3 Other Fuzzy Controllers; 1.3 Stability Analysis; 1.3.1 Types of Lyapunov Functions; 1.3.2 Types of Stability Analysis; 1.3.3 Techniques of Stability Analysis; 1.4 Control Problems; 1.4.1 Stabilization Control Problem 1.4.2 Regulation Control Problem1.4.3 Tracking Control Problem; 1.5 Design of FMB Control Systems; 1.6 Conclusion; References; 2 Preliminaries; 2.1 Introduction; 2.2 Notation; 2.3 Fuzzy Models; 2.3.1 T-S Fuzzy Model; 2.3.2 Polynomial Fuzzy Model; 2.4 State-Feedback Fuzzy Controller; 2.4.1 Fuzzy Controller; 2.4.2 Polynomial Fuzzy Controller; 2.5 Various Types of FMB Control Systems; 2.5.1 FMB Control System; 2.5.2 PFMB Control System; 2.6 LMI/SOS-Based Stability Conditions; 2.6.1 LMI-Based Stability Conditions for FMB Control Systems 2.6.2 SOS-Based Stability Conditions for FMB Control Systems2.7 Conclusion; References; Part II Stability Analysis Techniques; 3 Stability Analysis of Polynomial Fuzzy Model-Based Control Systems with Mismatched Premise Membership Functions Through Symbolic Variables; 3.1 Introduction; 3.2 Stability Analysis; 3.2.1 Property of Membership Functions; 3.2.2 Boundary Information of Membership Grades; 3.2.3 Boundary Information of Premise Variables; 3.3 Simulation Example; 3.4 Conclusion; References 4 Stability Analysis of Polynomial Fuzzy Model-Based Control Systems with Mismatched Premise Membership Functions Through Taylor Series Membership Functions4.1 Introduction; 4.2 Taylor Series Membership Functions; 4.3 Stability Analysis; 4.4 Simulation Example; 4.5 Conclusion; References; 5 Stability Analysis of General Polynomial Fuzzy Model-Based Control Systems; 5.1 Introduction; 5.2 Stability Analysis; 5.2.1 Perfectly Matched Premises; 5.2.2 Partially Matched Premises; 5.2.3 Imperfectly Matched Premises; 5.3 Simulation Example; 5.3.1 Perfectly Matched Premises 5.3.2 Partially Matched Premises5.3.3 Imperfectly Matched Premises; 5.4 Conclusion; References; Part III Advanced Control Methodologies; 6 Output Regulation of Polynomial Fuzzy Model-Based Control Systems; 6.1 Introduction; 6.2 Preliminaries; 6.2.1 Polynomial Fuzzy Model with Output; 6.2.2 Polynomial Fuzzy Controller with Integral Action; 6.2.3 PFMB Control System; 6.3 Stability Analysis; 6.3.1 Perfectly Matched Premises; 6.3.2 Perfectly Matched Premise with Regional Membership Function Information; 6.3.3 Partially Matched Premises; 6.3.4 Imperfectly Matched Premises; 6.4 Simulation Example
Series Title: Studies in systems, decision and control, v. 64.
Responsibility: Hak-Keung Lam.
More information:

Abstract:

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.

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