Modeling and inverse adaptive control of asymmetric hysteresis systems with applications to magnetostrictive actuator

Zhi Li, Chun Yi Su, Xinkai Chen

Research output: Contribution to journalArticle

30 Citations (Scopus)


When uncertain systems are actuated by smart material based actuators, the systems exhibit hysteresis nonlinearities and corresponding control is becoming a challenging task, especially with magnetostrictive actuators which are dominated by asymmetric hystereses. The common approach for overcoming the hysteresis effect is inverse compensation combining with robust adaptive control. Focusing on the asymmetric hysteresis phenomenon, an asymmetric shifted Prandtl-Ishlinskii (ASPI) model and its inverse are developed and a corresponding analytical expression for the inverse compensation error is derived. Then, a prescribed adaptive control method is applied to mitigate the compensation error and simultaneously guaranteeing global stability of the closed loop system with a prescribed transient and steady-state performance of the tracking error without knowledge of system parameters. The effectiveness of the proposed control scheme is validated on a magnetostrictive actuated platform.

Original languageEnglish
Pages (from-to)148-160
Number of pages13
JournalControl Engineering Practice
Publication statusPublished - 2014 Dec 1



  • Asymmetric hysteresis
  • Asymmetric shifted prandtl-ishlinskii (ASPI) model
  • Magnetostrictive actuator
  • Prescribed adaptive control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this