TITO Mamdani Fuzzy PI/PD Controllersas Nonlinear, Variable Gain PI/PD controllers
نویسنده
چکیده
In this paper, analytical structures of TITO (two-input two-output) Mamdani fuzzy PI/PD controllers are investigated with respect to conventional PI/PD control and variable gain control. Components of the fuzzy controllers include two input fuzzy sets for each input variable, five singleton output fuzzy sets for each output variable, 16 fuzzy rules, product AND fuzzy logic operator, the Mamdani minimum inference method and the centroid defuzzifier. Each output of the fuzzy controller is proved to be the sum of two nonlinear PI (or PD) controllers with variable gains that continuously change with the outputs of the TITO system under control. The characteristics of the fuzzy controller are analyzed in relation to those of the corresponding TITO linear PI/PD control. Finally, it is theoretically proved that the fuzzy and linear PI/PD control systems have the same local stability at the eqlibrium points.
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