Analytical Methods in Fuzzy Modeling and Control [Hardcover]

This book is focused on mathematical analysis and rigorous design methods for fuzzy control systems based on Takagi-Sugeno fuzzy models, sometimes called Takagi-Sugeno-Kang models.

MISO Takagi-Sugeno Fuzzy System with Linear Membership Functions.- Recursion in TS Systems with Two Fuzzy Sets for Every Input.- Fuzzy Rule-Based Systems with Polynomial Membership Functions.- Comprehensive Study and Applications of P1-TS Systems.- Modeling of Multilinear Dynamical Systems from Experimental Data.- Binary Classification Using P1-TS Rule Scheme.

From the reviews:

This book is intended for researchers, engineers, and graduate students interested in fuzziness and soft computing, engineering, control, and computer engineering. (IEEE Control Systems and Magazine, Vol. 30, June, 2010)

This book is focused on mathematical analysis and rigorous design methods for fuzzy control systems based on Takagi-Sugeno fuzzy models, sometimes called Takagi-Sugeno-Kang models. The author presents a rather general analytical theory of exact fuzzy modeling and control of continuous and discrete-time dynamical systems. Main attention is paid to usability of the results for the control and computer engineering community and therefore simple and easy knowledge-bases for linguistic interpretation have been used. The approach is based on the authors theorems concerning equivalence between widely used Takagi-Sugeno systems and some class of multivariate polynomials. It combines the advantages of fuzzy system theory and classical control theory. Classical control theory can be applied to modeling of dynamical plants and the controllers. They are all equivalent to the set of Takagi-Sugeno type fuzzy rules. The approach combines the best of fuzzy and conventional control theory. It enables linguistic interpretability (also called transparency) of both the plant model and the controller. In the case of linl³