Adaptive Estimated Inverse Output-Feedback Quantized Control for Piezoelectric Positioning Stage

Xiuyu Zhang, Yue Wang, Chenliang Wang, Chun Yi Su, Zhi Li, Xinkai Chen

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)


Focusing on the piezoelectric positioning stage, this paper proposes an adaptive estimated inverse output-feedback quantized control scheme. First, the quantized issue due to the use of computer is addressed by introducing a linear time-varying quantizer model where the quantizer parameters can be estimated on-line. Second, by using the fuzzy approximator, the developed controller can avoid the identification of the parameters in the piezoelectric positioning stage. Third, by constructing the estimated inverse compensator of the hysteresis, the hysteresis nonlinearities in the piezoelectric actuator are mitigated; Fourth, the states observer is designed to avoid the measurements of the velocity and acceleration signals. The analysis of stability shows all the signals in the piezoelectric positioning stage are uniformly ultimately bounded and the prespecified tracking performance of the quantized control system is achieved by employing the error transformed function. Finally, a computer controlled experiments for the piezoelectric positioning stage is conducted to show the effectiveness of the proposed quantized controller.

Original languageEnglish
JournalIEEE Transactions on Cybernetics
Publication statusAccepted/In press - 2018 Apr 26


  • Adaptation models
  • Estimated inverse control
  • fuzzy approximaor
  • Hysteresis
  • hysteresis nonlinearities
  • Piezoelectric actuators
  • Position measurement
  • Principal component analysis
  • quantizer
  • states observer

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Information Systems
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering

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