Abstract
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.
Highlights
Smart materials, like piezoelectric, are widely used in systems where nano- microdisplacement and precision are required [1,2]
N so yi = R(xi ), where n is the number of breakpoints, R is the piece-wise function that is approximated through the breakpoints, where xi and yi are obtained by the algorithm previously explained
The hysteresis of Piezoelectric actuators (PEA) represents a problem that can produce a performance reduction when these devices are employed for positioning
Summary
Like piezoelectric, are widely used in systems where nano- microdisplacement and precision are required [1,2]. Piezoelectric actuators (PEAs) are derived from this technology, where can they provide high-precision at small displacements, and support high forces in comparison to their size [3]; these properties are advantageous due to the downsizing needed for actuators nowadays [4]. PEAs are used in medicine, where precision is extremely important for purposes as cell puncture [10], drug delivery systems [11], and needle positioning for complex injections [12]. Like vibration dynamics, creep, and hysteresis, which yields undesirable operation [13]. Vibration dynamics are caused by the input voltage excitation that operates the equivalent mechanical system, this should be considered
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