Fuzzy controller design using concretion based on boolean relations (CBR)

Fuzzy logic and its applications in control systems have shown a relevant importance in non-linear systems and industrial automation developments, however its main disadvantage is the computational cost involved, having effects on the system performance and its processing. In this document a new Concretion method based on Boolean relations (CBR) is presented, showing a methodology design, its fundamentals and the use of a related defuzzification method named Defuzzification based on Boolean Relations (DBR) which has been validated in previous works. The methodology is evaluated in a Buck-Boost converter and compared with a Mandani controller. Control and computational indices are considered demonstrating the quantitative performance and showing the advantages of the proposed method.