High order sliding mode and its application on the tracking control of piezoelectric systems

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43 Citations (Scopus)

Abstract

Aiming at a kind of piezoelectric actuator (PEA) with hysteresis nonlinearity, a new high order sliding mode controller (HOSMC) is presented. Firstly, the two-order nonlinear dynamic model of the PEA is introduced and the hysteresis nonlinearity part is analyzed as a kind of bounded disturbance acting on the system. Then, the high order sliding mode control law is designed. Further, the finite-time astringencies of the sliding mode variables and the asymptotic astringency of tracking error variable are proved theoretically. The simulation results show the validity of the HOSMC for this kind of piezoelectric actuators with hysteresis nonlinearity.

Original languageEnglish
Pages (from-to)697-704
Number of pages8
JournalInternational Journal of Innovative Computing, Information and Control
Volume4
Issue number3
Publication statusPublished - Mar 2008

Keywords

  • Dynamic hysteretic model
  • High order sliding mode
  • Piezoelectric actuator
  • Tracking control

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