Selected applications of P1-TS fuzzy rule-based systems

Abstract

In this paper, some results concerning analytical methods of fuzzy modeling, especially so called P1-TS fuzzy rule-based systems are described. The basic notions and facts concerning the theory of fuzzy systems are briefly recalled, including a method for overcoming or at least weakening the curse of dimensionality. A P1-TS system performing the function of the fuzzy JK flip-flop, as well as optimal controller for the 2nd order dynamical plant are described. Next, we show how to use the idea of P1-TS system for identification of some class of nonlinear dynamical systems. We briefly characterize FPGA hardware implementation of the P1-TS system. A result of a mobile robot navigation system design is described, as well. Finally, we show how to obtain a highly interpretable fuzzy classifier as a medical decision support system, by using both the theory of P1-TS system with a large number of inputs in conjunction with the idea of meta-rules, and gene expression programming method.