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Fuzzy Systems
Fuzzy Systems
Date: 26 April 2011, 00:10

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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? 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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