Modelling and control of non-linear dynamic systems with decomposed fuzzy structures
Golob, Marjan, 1962- ; Tovornik, Boris
A applicability of decomposed fuzzy structures for modelling and control of non-linear systems based on fuxxy relational models is proposed in this lecture. The basic idea is a concept supported by ...the decomposition of multivariable rule base. The set of decmposed fuzzy models based on the simplified inference break up method are proposed and applied to a dynamic modelling. Identification algorithms based on fuzzy relational matrices are applied. A comparative study of the dynamic system identification with the conventional relational model and the decomposed relational model is presented for Box-Jenkins data. The decomposed PID fuzzy logic controller (PID-FLC) has proportional, integral and derivative separate parts with their own rule bases. The real-world example of controlling a simple magnetic suspension system - iron ball levitation control in the magnetic field of the electromagnet - demonstrates the applicability and benefits of decomposed PID-FLC, namely a significantly reduced number of rules. A comparative study of the decomposed PID-FLC and PID controller is presented.
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