Robustness of discrete-time variable structure control to parametric uncertainties and exogenous disturbances

Yongsoon Eun; Dong Il Dan Cho

doi:10.1109/ACC.1998.694639

Robustness of discrete-time variable structure control to parametric uncertainties and exogenous disturbances

Yongsoon Eun
, Dong Il Dan Cho

Department of Electrical Engineering and Computer Science

Seoul National University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A Robust stability condition for discrete-time variable structure control is proposed. Conventionally the discrete-time variable structure control method with a variable structure uncertainty estimator approach requires a bounded changing rate of the uncertainties to ensure robust stability. However, when uncertainties vary as a function of state variables, which occur with parametric uncertainties, it is not practical to assume a bounded rate on the uncertainties. In this paper, uncertainties are assumed to consist of exogenous disturbances and parametric uncertainties. An uncertainty compensator is used to deal with the former, and a robust stability condition is derived using Small Gain Theorem for the latter.

Original language	English
Title of host publication	Proceedings of the 1998 American Control Conference, ACC 1998
Pages	109-113
Number of pages	5
DOIs	https://doi.org/10.1109/ACC.1998.694639
State	Published - 1998
Event	1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States Duration: 24 Jun 1998 → 26 Jun 1998

Publication series

Name	Proceedings of the American Control Conference
Volume	1
ISSN (Print)	0743-1619

Conference

Conference	1998 American Control Conference, ACC 1998
Country/Territory	United States
City	Philadelphia, PA
Period	24/06/98 → 26/06/98

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10.1109/ACC.1998.694639

Cite this

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title = "Robustness of discrete-time variable structure control to parametric uncertainties and exogenous disturbances",

abstract = "A Robust stability condition for discrete-time variable structure control is proposed. Conventionally the discrete-time variable structure control method with a variable structure uncertainty estimator approach requires a bounded changing rate of the uncertainties to ensure robust stability. However, when uncertainties vary as a function of state variables, which occur with parametric uncertainties, it is not practical to assume a bounded rate on the uncertainties. In this paper, uncertainties are assumed to consist of exogenous disturbances and parametric uncertainties. An uncertainty compensator is used to deal with the former, and a robust stability condition is derived using Small Gain Theorem for the latter.",

author = "Yongsoon Eun and Cho, \{Dong Il Dan\}",

year = "1998",

doi = "10.1109/ACC.1998.694639",

language = "English",

isbn = "0780345304",

series = "Proceedings of the American Control Conference",

pages = "109--113",

booktitle = "Proceedings of the 1998 American Control Conference, ACC 1998",

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}

Eun, Y & Cho, DID 1998, Robustness of discrete-time variable structure control to parametric uncertainties and exogenous disturbances. in Proceedings of the 1998 American Control Conference, ACC 1998., 694639, Proceedings of the American Control Conference, vol. 1, pp. 109-113, 1998 American Control Conference, ACC 1998, Philadelphia, PA, United States, 24/06/98. https://doi.org/10.1109/ACC.1998.694639

Robustness of discrete-time variable structure control to parametric uncertainties and exogenous disturbances. / Eun, Yongsoon; Cho, Dong Il Dan.
Proceedings of the 1998 American Control Conference, ACC 1998. 1998. p. 109-113 694639 (Proceedings of the American Control Conference; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - A Robust stability condition for discrete-time variable structure control is proposed. Conventionally the discrete-time variable structure control method with a variable structure uncertainty estimator approach requires a bounded changing rate of the uncertainties to ensure robust stability. However, when uncertainties vary as a function of state variables, which occur with parametric uncertainties, it is not practical to assume a bounded rate on the uncertainties. In this paper, uncertainties are assumed to consist of exogenous disturbances and parametric uncertainties. An uncertainty compensator is used to deal with the former, and a robust stability condition is derived using Small Gain Theorem for the latter.

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ER -

Robustness of discrete-time variable structure control to parametric uncertainties and exogenous disturbances

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