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

11 Citations (Scopus)

Abstract

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
Volume65
Issue number1
DOIs
Publication statusPublished - 2018 Jan 1

Fingerprint

Sliding mode control
Transient analysis
Dynamical systems
Trajectories
Experiments
Uncertainty

Keywords

  • 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

Cite this

Discrete-Time Quasi-Sliding-Mode Control with Prescribed Performance Function and its Application to Piezo-Actuated Positioning Systems. / Nguyen, Manh Linh; Chen, Xinkai; Yang, Fan.

In: IEEE Transactions on Industrial Electronics, Vol. 65, No. 1, 7933933, 01.01.2018, p. 942-950.

Research output: Contribution to journalArticle

@article{1e2772db6fb4485bbf90b3aa39a438d3,
title = "Discrete-Time Quasi-Sliding-Mode Control with Prescribed Performance Function and its Application to Piezo-Actuated Positioning Systems",
abstract = "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.",
keywords = "PID controller, Piezo-actuated positioning system, Prescribed performance control (PPC), Sliding-mode control (SMC)",
author = "Nguyen, {Manh Linh} and Xinkai Chen and Fan Yang",
year = "2018",
month = "1",
day = "1",
doi = "10.1109/TIE.2017.2708024",
language = "English",
volume = "65",
pages = "942--950",
journal = "IEEE Transactions on Industrial Electronics",
issn = "0278-0046",
publisher = "IEEE Industrial Electronics Society",
number = "1",

}

TY - JOUR

T1 - Discrete-Time Quasi-Sliding-Mode Control with Prescribed Performance Function and its Application to Piezo-Actuated Positioning Systems

AU - Nguyen, Manh Linh

AU - Chen, Xinkai

AU - Yang, Fan

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - PID controller

KW - Piezo-actuated positioning system

KW - Prescribed performance control (PPC)

KW - Sliding-mode control (SMC)

UR - http://www.scopus.com/inward/record.url?scp=85040669112&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85040669112&partnerID=8YFLogxK

U2 - 10.1109/TIE.2017.2708024

DO - 10.1109/TIE.2017.2708024

M3 - Article

AN - SCOPUS:85040669112

VL - 65

SP - 942

EP - 950

JO - IEEE Transactions on Industrial Electronics

JF - IEEE Transactions on Industrial Electronics

SN - 0278-0046

IS - 1

M1 - 7933933

ER -