Advances in Tracking Control for Piezoelectric Actuators Using Fuzzy Logic and Hammerstein-Wiener Compensation

• Published in: Mathematics (Basel) Vol. 8; no. 11; p. 2071
• Main Authors: Napole, Cristian, Barambones, Oscar, Calvo, Isidro, Derbeli, Mohamed, Silaa, Mohammed Yousri, Velasco, Javier
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01-11-2020
• Subjects: Accuracy; actuators; Compensation; Complexity; control systems; Design; Electric fields; feed-forward; Food science; Fuzzy control; Fuzzy logic; Hysteresis; Linearity; piezoelectric; Piezoelectric actuators; Proportional integral derivative; Root-mean-square errors; Software; Strain gauges; Tracking control
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math8112071

Piezoelectric actuators (PEA) are devices that are used for nano- microdisplacement due to their high precision, but one of the major issues is the non-linearity phenomena caused by the hysteresis effect, which diminishes the positioning performance. This study presents a novel control structure in order to reduce the hysteresis effect and increase the PEA performance by using a fuzzy logic control (FLC) combined with a Hammerstein–Wiener (HW) black-box mapping as a feedforward (FF) compensation. In this research, a proportional-integral-derivative (PID) was contrasted with an FLC. From this comparison, the most accurate was taken and tested with a complex structure with HW-FF to verify the accuracy with the increment of complexity. All of the structures were implemented in a dSpace platform to control a commercial Thorlabs PEA. The tests have shown that an FLC combined with HW was the most accurate, since the FF compensate the hysteresis and the FLC reduced the errors; the integral of the absolute error (IAE), the root-mean-square error (RMSE), and relative root-mean-square-error (RRMSE) for this case were reduced by several magnitude orders when compared to the feedback structures. As a conclusion, a complex structure with a novel combination of FLC and HW-FF provided an increment in the accuracy for a high-precision PEA.