Adaptive Sliding Mode Control Based on Duhem Model for Piezoelectric Actuators

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Abstract
The strong hysteresis nonlinearity extremely limits the positioning precision of piezoelectric actuators (PZAs). For the purpose of eliminating hysteresis effect and achieving high precise output displacement of PZAs, an adaptive sliding mode control method is proposed in this paper. The proposed hybrid control method is composed of an adaptive control method and a sliding mode control method. The simulations are conducted to validate the effectiveness of the proposed control method. The simulation results show that the proposed control method restrains hysteresis behaviour of PZAs efficiently and reduces maximum relative error to 0.57%. In contrast, the existing works lack efficient methods to deal with the uncertain parameters of the hysteresis model. The proposed control method in this paper can effectively solve the existing problems and improve the positioning precision of the control system of PZAs.
Funding Information
  • Key Program of National Natural Science Foundation of China (2012CB821200)
  • National Natural Science Foundation of China (51105170)
  • Program of Science and Technology Development Plan of Jilin Province of China (20140101062JC, 20140101082JC)
  • Program of Twelfth Five-Year Science and Technology Research Plan of Education Department of Jilin province of China (2014B023)

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