Open AccessSliding mode control with sigmoid function for the motion tracking control of the piezo‐actuated stages
Author(s) -
Xu Rui,
Zhou Miaolei
Publication year - 2017
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2016.3558
Subject(s) - sigmoid function , control theory (sociology) , sliding mode control , hysteresis , sign function , controller (irrigation) , aeroelasticity , tracking (education) , process (computing) , motion control , engineering , mode (computer interface) , computer science , control engineering , nonlinear system , control (management) , mathematics , physics , artificial intelligence , aerodynamics , robot , psychology , pedagogy , quantum mechanics , artificial neural network , biology , operating system , mathematical analysis , agronomy , aerospace engineering
A Bouc–Wen model is presented and identified based on the bat‐inspired algorithm to describe the hysteresis of the piezo‐actuated stage. Based on the established Bouc–Wen model, a sliding mode controller is proposed to suppress the hysteresis non‐linearity of the piezo‐actuated stages. In order to solve the buffeting problem in the process of control, the sign function is replaced by the sigmoid function. Experiment is performed to validate the effectiveness of the proposed sliding mode controller, and the results show that the maximum error of the motion tracking control of the piezo‐actuated stage is 0.3264 μm.