# Fuzzy Systems

Ahmad Taher Azar, quot;Fuzzy Systemsquot;

In-Tech | 2010 | ISBN-10: N/A | ISBN-13: 9789537619923 | 216 pages | File type: PDF | 7,2 mb

From the preface:

This book is intended to present fuzzy logic systems and useful applications with a self-

contained, simple, readable approach. It is intended for the intelligent reader with an alert

mind. The approach, the organization, and the presentation of this book are also hoped to

enhance the accessibility to existing knowledge beyond its contents. The book is divided

into twelve chapters. In Chapter 1 Gaussian membership functions (MFs) are proposed as an

alternative to the traditional triangular MFs in order to improve the reliability and

robustness of the system. Gaussian MFs provide smooth transition between levels and

provides a way to fire the maximum number of rules in the rule base and hence a more

accurate representation of the input-output relationship is achieved. Chapter 2 describes

robust H¡Þ control problems for uncertain Takagi-Sugeno (T-S) fuzzy systems with

immeasurable premise variables. A continuous-time Takagi-Sugeno fuzzy system is first

considered. The same control problems for discrete-time counterpart are also considered.

Chapter 3 deals with the control of T-S fuzzy systems using fuzzy weighting-dependent

lyapunov function. In Chapter 4, the digital fuzzy control system considering a time delay is

developed and its stability analysis and design method are proposed. The discrete Takagi-

Sugeno(TS) fuzzy model and parallel distributed compensation(PDC) conception for the

controller are used. The proposed control system can be designed using the conventional

methods for stabilizing the discrete time fuzzy systems and the feedback gains of the

controller can be obtained using the concept of the linear matrix inequality (LMI) feasibility

problem

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