Discrete-Time Quasi-Sliding-Mode Control with Prescribed Performance Function and its Application to Piezo-Actuated Positioning Systems

Manh Linh Nguyen, Xinkai Chen, Fan Yang

Research output: Contribution to journalArticle

15 Citations (Scopus)


In this paper, the constrained control problem of the prescribed performance control technique is discussed in discrete-time domain for single input-single output dynamical systems. The goal of this design is to maintain the tracking error trajectory in a predefined convergence zone described by a performance function in the presence of the uncertainties. In order to achieve this goal, the discrete-time quasi-sliding-mode control with a new sliding variable is proposed. Additionally, by using a modified convergence zone, the transient response of the system can be adjusted without producing the offset error in the steady state. The effectiveness of the proposed method is confirmed by experiments on a piezo-actuated positioning system.

Original languageEnglish
Article number7933933
Pages (from-to)942-950
Number of pages9
JournalIEEE Transactions on Industrial Electronics
Issue number1
Publication statusPublished - 2018 Jan 1



  • PID controller
  • Piezo-actuated positioning system
  • Prescribed performance control (PPC)
  • Sliding-mode control (SMC)

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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