Comprehensive Study and Applications of P1-TS Systems
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This chapter focuses mainly on the P1-TS systems introduced in Chapter 2, as the simplest and most transparent among fuzzy rule-based systems with polynomial membership functions. They are highly interpretable and therefore they seem to be particularly important from the engineering point of view. In order to show that there are quite a lot of applications of P1-TS systems, many examples of exact modeling of conventional systems will be given, especially in relation to nonlinear dynamical processes modeling and control. We prefer to use the analytical and systematic approach to the synthesis and analysis of the models. Thanks to such approach the comparison of the methods developed in this book with others will be facilitated. Symbolic quantities will be mainly used to ensure the generality of outcomes. Seldom, if ever, will numerical data be taken, to increase transparency of the examples.
KeywordsMobile Robot Fuzzy Rule Boolean Logic Induction Motor Fundamental Matrix
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