Adaptive pseudo inverse control for a class of nonlinear asymmetric and saturated nonlinear hysteretic systems

Xiuyu Zhang, Ruijing Jing, Zhiwei Li, Zhi Li, Xinkai Chen, Chun Yi Su

Research output: Contribution to journalArticlepeer-review

Abstract

This paper aims at eliminating the asymmetric and saturated hysteresis nonlinearities by designing hysteresis pseudo inverse compensator and robust adaptive dynamic surface control &#x0028 DSC &#x0029 scheme. The &#x201C pseudo inverse &#x201D means that an on-line calculation mechanism of approximate control signal is developed by applying a searching method to the designed temporary control signal where the true control signal is included. The main contributions are summarized as: 1&#x0029 to our best knowledge, it is the first time to compensate the asymmetric and saturated hysteresis by using hysteresis pseudo inverse compensator because the construction of the true saturated-type hysteresis inverse model is very difficult; 2&#x0029 by designing the saturated-type hysteresis pseudo inverse compensator, the construction of true explicit hysteresis inverse and the identifications of its corresponding unknown parameters are not required when dealing with the saturated-type hysteresis; 3&#x0029 by combining DSC technique with the tracking error transformed function, the &#x201C explosion of complexity &#x201D problem in backstepping method is overcome and the prespecified tracking performance is achieved. Analysis of stability and experimental results on the hardware-in-loop platform illustrate the effectiveness of the proposed adaptive pseudo inverse control scheme.

Original languageEnglish
JournalIEEE/CAA Journal of Automatica Sinica
DOIs
Publication statusAccepted/In press - 2020

Keywords

  • Actuators
  • Adaptation models
  • Adaptive systems
  • Hysteresis
  • Metals
  • Nonlinear systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Information Systems
  • Artificial Intelligence

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