Polynomial Fuzzy Model-Based Control Systems: Stability Analysis and Control Synthesis Using Membership Function Dependent Techniques

TY - BOOK

T1 - Polynomial Fuzzy Model-Based Control Systems

T2 - Stability Analysis and Control Synthesis Using Membership Function Dependent Techniques

AU - Lam, Hak-Keung

PY - 2016

Y1 - 2016

N2 - This book covers membership-function-dependent analysis and control design techniques for polynomial fuzzy-model-based control systems developed by the author. It starts with a comprehensive literature review which provides an overview of the development of fuzzy-model-based control systems in the past two decades. Fundamental concepts, essential theories, preliminaries and important stability analysis results are thoroughly reviewed with support of numerical examples. It allows readers to grasp a general picture of fuzzy-model-based control systems, which is particularly useful for someone who is new to this field. The focus of this book will be on the stability analysis and control synthesis of polynomial fuzzy-model-based control systems. Advanced stability analysis based on sum-of-squares are covered offering effective analysis tools to investigate the polynomial fuzzy-model-based control systems. It proposes the membership-function-dependent stability analysis techniques which bring the information of membership functions into stability analysis and thus offer more relaxed stability analysis results compared with those in the literatures. Various control methodologies including full-state feedback, output-feedback and sampled-data control are considered to deal with stabilization, regulation and tracking control problems. Advanced switching and fuzzy polynomial Lyapunov function candidates are proposed to further relax the stability conditions using advanced mathematical analysis techniques. In all chapters, detailed mathematical steps are shown which allows readers to follow the analysis easier. Numerical examples with support of figures are provided to help the readers to grasp the concepts in an efficient way. The in-depth discussions on the polynomial fuzzy-model-based control systems and the membership-function-dependent analysis proposed in this book provide a concrete theoretical supports to researchers in the field.

AB - This book covers membership-function-dependent analysis and control design techniques for polynomial fuzzy-model-based control systems developed by the author. It starts with a comprehensive literature review which provides an overview of the development of fuzzy-model-based control systems in the past two decades. Fundamental concepts, essential theories, preliminaries and important stability analysis results are thoroughly reviewed with support of numerical examples. It allows readers to grasp a general picture of fuzzy-model-based control systems, which is particularly useful for someone who is new to this field. The focus of this book will be on the stability analysis and control synthesis of polynomial fuzzy-model-based control systems. Advanced stability analysis based on sum-of-squares are covered offering effective analysis tools to investigate the polynomial fuzzy-model-based control systems. It proposes the membership-function-dependent stability analysis techniques which bring the information of membership functions into stability analysis and thus offer more relaxed stability analysis results compared with those in the literatures. Various control methodologies including full-state feedback, output-feedback and sampled-data control are considered to deal with stabilization, regulation and tracking control problems. Advanced switching and fuzzy polynomial Lyapunov function candidates are proposed to further relax the stability conditions using advanced mathematical analysis techniques. In all chapters, detailed mathematical steps are shown which allows readers to follow the analysis easier. Numerical examples with support of figures are provided to help the readers to grasp the concepts in an efficient way. The in-depth discussions on the polynomial fuzzy-model-based control systems and the membership-function-dependent analysis proposed in this book provide a concrete theoretical supports to researchers in the field.

U2 - 10.1007/978-3-319-34094-4

DO - 10.1007/978-3-319-34094-4

M3 - Book

SN - 978-3-319-34092-0

VL - 64

BT - Polynomial Fuzzy Model-Based Control Systems

PB - Springer

ER -