Microstepping synchronization via hybridization of Mamdani’s Fuzzy Logic for the plasmonic tracker

Abstract

A plasmonic tracker had been developed for a plasmonic energy detection. It serves to determine resonance angle and refractive index of a dielectric material. A microstepping is required for scanning the reflected beam at a high resolution. Therefore, a precise control is crucial to align the photodiode parallel to the reflected laser beam at smallest angle displacement in a single rotation. The objective are to: 1- Synchronize two bipolar stepper motors for annular / rotational stage via the microstepping, 2- Determine the delay interval with Mamdani’s FIS and 3-Evaluate the Fuzzy Logic Controller in the MATLAB Simulink interface. Hybridization of Mamdani’s Fuzzy Logic was applied to determine appropriate delay interval for the Plasmonic Tracker. Two input variables and one output variable respectively were defined as Error, Change Error and Delay. Time delays interval were varied from 0.1s to 1s for synchronizing different microstepping resolution. The annular / rotary stages cater 8000 / 3200 microsteps at 0.045° / 0.1125° at a single rotation. Both stages cater a 7.5 ms per cycle for 360° span of angular interrogation within 60 second. Therefore, step sizes is matched with gear ratio of 2.5 with respective pulse for rotary stage / annular stage were 1 ms and 2 ms / 3 ms per cycle. MATLAB results was compared to centroid calculation and Simulink results The Fuzzy logic had demonstrates an efficient control, instant response and outstanding conversion based on the expert rule-based system.