Controller design for high-order sliding mode dynamics with upper-triangular uncertainties

Lu Liu; Wei Xing Zheng; Shihong Ding

doi:10.1109/ISCAS51556.2021.9401745

Controller design for high-order sliding mode dynamics with upper-triangular uncertainties

Lu Liu, Wei Xing Zheng, Shihong Ding

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

1 Citation (Scopus)

Abstract

This paper is concerned with controller de sign for high-order sliding mode (HOSM) dynamics with upper-triangular uncertainties. First, we design an HOSM controller by means of the adding a power integrator method in order to locally stabilize the HOSM dynamics with upper-triangular uncertainties. On this basis, by combining the saturated technique and the local HOSM controller together, we devise a saturated-like controller in order to ensure the finite-time convergence of the sliding variables into a domain of attraction without an escape from the domain thenceforth. The stability results are established based on the Lyapunov theory. The efficiency of the designed saturated-like HOSM controller is validated by a numerical example.

Original language	English
Title of host publication	Proceedings of 2021 IEEE International Symposium on Circuits and Systems (ISCAS), Daegu, Korea, May 22-28, 2021
Publisher	IEEE
Number of pages	5
ISBN (Print)	9781728192017
DOIs	https://doi.org/10.1109/ISCAS51556.2021.9401745
Publication status	Published - 2021
Event	IEEE International Symposium on Circuits and Systems - Duration: 22 May 2021 → …

Publication series

Name
ISSN (Print)	2158-1525

Conference

Conference	IEEE International Symposium on Circuits and Systems
Period	22/05/21 → …

Bibliographical note

Publisher Copyright:
© 2021 IEEE

Access to Document

10.1109/ISCAS51556.2021.9401745

Cite this

@inproceedings{a0350d4a841948318360d14624721836,

title = "Controller design for high-order sliding mode dynamics with upper-triangular uncertainties",

abstract = "This paper is concerned with controller de sign for high-order sliding mode (HOSM) dynamics with upper-triangular uncertainties. First, we design an HOSM controller by means of the adding a power integrator method in order to locally stabilize the HOSM dynamics with upper-triangular uncertainties. On this basis, by combining the saturated technique and the local HOSM controller together, we devise a saturated-like controller in order to ensure the finite-time convergence of the sliding variables into a domain of attraction without an escape from the domain thenceforth. The stability results are established based on the Lyapunov theory. The efficiency of the designed saturated-like HOSM controller is validated by a numerical example.",

author = "Lu Liu and Zheng, {Wei Xing} and Shihong Ding",

note = "Publisher Copyright: {\textcopyright} 2021 IEEE; IEEE International Symposium on Circuits and Systems ; Conference date: 22-05-2021",

year = "2021",

doi = "10.1109/ISCAS51556.2021.9401745",

language = "English",

isbn = "9781728192017",

publisher = "IEEE",

booktitle = "Proceedings of 2021 IEEE International Symposium on Circuits and Systems (ISCAS), Daegu, Korea, May 22-28, 2021",

}

TY - GEN

T1 - Controller design for high-order sliding mode dynamics with upper-triangular uncertainties

AU - Liu, Lu

AU - Zheng, Wei Xing

AU - Ding, Shihong

PY - 2021

Y1 - 2021

N2 - This paper is concerned with controller de sign for high-order sliding mode (HOSM) dynamics with upper-triangular uncertainties. First, we design an HOSM controller by means of the adding a power integrator method in order to locally stabilize the HOSM dynamics with upper-triangular uncertainties. On this basis, by combining the saturated technique and the local HOSM controller together, we devise a saturated-like controller in order to ensure the finite-time convergence of the sliding variables into a domain of attraction without an escape from the domain thenceforth. The stability results are established based on the Lyapunov theory. The efficiency of the designed saturated-like HOSM controller is validated by a numerical example.

AB - This paper is concerned with controller de sign for high-order sliding mode (HOSM) dynamics with upper-triangular uncertainties. First, we design an HOSM controller by means of the adding a power integrator method in order to locally stabilize the HOSM dynamics with upper-triangular uncertainties. On this basis, by combining the saturated technique and the local HOSM controller together, we devise a saturated-like controller in order to ensure the finite-time convergence of the sliding variables into a domain of attraction without an escape from the domain thenceforth. The stability results are established based on the Lyapunov theory. The efficiency of the designed saturated-like HOSM controller is validated by a numerical example.

UR - https://hdl.handle.net/1959.7/uws:75356

U2 - 10.1109/ISCAS51556.2021.9401745

DO - 10.1109/ISCAS51556.2021.9401745

M3 - Conference Paper

SN - 9781728192017

BT - Proceedings of 2021 IEEE International Symposium on Circuits and Systems (ISCAS), Daegu, Korea, May 22-28, 2021

PB - IEEE

T2 - IEEE International Symposium on Circuits and Systems

Y2 - 22 May 2021

ER -

Controller design for high-order sliding mode dynamics with upper-triangular uncertainties

Abstract

Publication series

Conference

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this