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

Cristian Napole, Óscar Barambones, Mohamed Derbeli, Isidro Calvo, Mohammed Yousri Silaa, Javier Velasco

2021Mathematics14 citationsDOIOpen Access PDF

Abstract

Piezoelectric actuators (PEA) are frequently employed in applications where nano-Micr-odisplacement is required because of their high-precision performance. However, the positioning is affected substantially by the hysteresis which resembles in an nonlinear effect. In addition, hysteresis mathematical models own deficiencies that can influence on the reference following performance. The objective of this study was to enhance the tracking accuracy of a commercial PEA stack actuator with the implementation of a novel approach which consists in the use of a Super-Twisting Algorithm (STA) combined with artificial neural networks (ANN). A Lyapunov stability proof is bestowed to explain the theoretical solution. Experimental results of the proposed method were compared with a proportional-integral-derivative (PID) controller. The outcomes in a real PEA reported that the novel structure is stable as it was proved theoretically, and the experiments provided a significant error reduction in contrast with the PID.

Topics & Concepts

PID controllerControl theory (sociology)Nonlinear systemArtificial neural networkActuatorHysteresisStability (learning theory)Computer scienceStack (abstract data type)Tracking (education)AlgorithmTracking errorController (irrigation)Control engineeringEngineeringArtificial intelligenceControl (management)PhysicsMachine learningPedagogyAgronomyQuantum mechanicsPsychologyProgramming languageTemperature controlBiologyPiezoelectric Actuators and ControlAeroelasticity and Vibration ControlIterative Learning Control Systems
High-Performance Tracking for Piezoelectric Actuators Using Super-Twisting Algorithm Based on Artificial Neural Networks | Litcius