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

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.

Application of a Fuzzy Inference System for Optimization of an Amplifier Design

“…Some other relevant studies are those of Guo et al [17], who described the application of an ANFIS for partial discharge pattern recognition, and Voloşencu [18], who applied an ANFIS for the speed control systems of electric drives based on fuzzy PI controllers. Likewise, in another study, Napole et al [19] employed fuzzy logic control to reduce the hysteresis effect and to increase the performance of piezoelectric actuators.…”

Machine Learning Approach for Modeling and Control of a Commercial Heliocentris FC50 PEM Fuel Cell System

“…Results revealed that suitable nonlinearities like electrical features and uncertainties can be mirrored with linguistic rules, an essential feature of this tool [19]. However, one of the main disadvantages of fuzzy logic strategies is the computational requirement when features are increased and thus, rules are expanded [20]. Another different approach was used by authors of [21] where they employed support vector machine (SVM) based on data-driven for fault diagnosis in PEMFC.…”

High-Performance Tracking for Piezoelectric Actuators Using Super-Twisting Algorithm Based on Artificial Neural Networks

“…Although the implementation of STA is simple, as any other SMC controller, it has a discontinuous and a continuous term; traditionally, for the design of the latter mentioned, the model knowledge is required to construct the control law [56]. However, the hysteresis models have certain drawbacks which can produce difficulties for implementations and design [57].…”