Synopses & Reviews
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.
Review
From the reviews: "This research monograph ... is a timely treatise of the subject of control of Takagi-Sugeno (TS) fuzzy models ... . The book includes a significant number of illustrative examples which help appreciate the underlying control algorithms. ... Hopefully there is a wealth of a good reference material the reader may use to easily augment studying of this research monograph. All in all, the book is a highly cohesive, timely, and highly needed compendium of essential knowledge about fuzzy control of Takagi-Sugeno models." (Witold Pedrycz, Zentralblatt MATH, Vol. 1119 (21), 2007)
Synopsis
This book provides the latest developments in the analysis and control of nonlinear time-delay systems using T-S fuzzy model approach. It presents, in a single volume, a fairly 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. Insights to solve relevant problems are highlighted. Advanced analysis and synthesis methods used in the text incluse augmented Lyapunov functionals, free-weighting matrix techniques, relaxed linear metrix inequalities and matrix decoupling methods. The book is a useful source of reference for all those, from graduate students to senior researchers in a wide range of areas from mathematics and engineering to human and social sciences, interested in or
working with fuzzy systems.
Synopsis
SinceinitiatedbyLot?A. Zadehin1965, fuzzysettheoryhastriggeredacons- erably large body of areas to blossom. A fuzzy system is, in a very broad sense, anyfuzzylogic-basedsystemwherefuzzylogiccanbeusedeither asthebasisfor the representation of di?erent forms of system knowledge or the model for the interactions and relationships among the system variables. Fuzzy systems have proven to be an important tool for modeling complex systems for which, due to complexity or imprecision, classical tools are unsuccessful. There have been diverse ?elds of applications of fuzzy technology from medicine to management, from engineering to behavioral science, from vehicle control to computational linguistics, and so on. Fuzzy modeling is a conjunction to understand the s- tem's behavior and build useful mathematical models. Di?erent types of fuzzy models have been proposed in the literature, among which the Takagi-Sugeno (T-S) fuzzy model is a rule-based one suitable for the accurate approximation and identi?cation of a wide class of nonlinear systems. There has been an - creasing amount of work on analysis and synthesis of fuzzy systems based on T-S fuzzy models. Since 2000, T-S fuzzy model approach has been extended to tackleanalysisandcontrolproblemsofnonlinear systemswith time delay. So far extensive results have been presented for investigating T-S fuzzy systems with time delay, many of which adopt an easy and popular scheme, say, linear matrix inequality (LMI) based method. However, there lacks of a monograph in this direction to provide the state-of-the-art of coverage of this new growing area.
Table of Contents
Stability Analysis of T-S Fuzzy Systems.-. Extension to Fuzzy Large-scale Systems.-. Stabilization Methods for T-S Fuzzy Systems.- Variable Structure Control for T-S Fuzzy Systems.-. Observer-based Fuzzy Control: Delay-independent Method.-. Observer-based Fuzzy Control: Delay-dependent Method.- Output Tracking Control for T-S Fuzzy Systems.- Fuzzy Filter Design for T-S Fuzzy Systems.- Descriptor Method for T-S Fuzzy Control Systems.