Homogeneous sliding modes in the presence of fast actuators

Arie Levant; Leonid Fridman

doi:10.1109/CDC.2005.1582217

Homogeneous sliding modes in the presence of fast actuators

Arie Levant, Leonid Fridman

School of Mathematical Sciences

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

Abstract

It is known that the presence of actuators leads to the deterioration of sliding modes with chattering appearance. It is shown in the paper that the higher the order r of the homogeneous sliding mode the less sensitive it is to fast stable actuators. In particular, with the actuator time constant μ ≪ 1 the sliding variable magnitude is proportional to μ^r.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	572-577
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1582217
State	Published - 2005
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Conference

Conference	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

Access to Document

10.1109/CDC.2005.1582217

Cite this

Levant, A., & Fridman, L. (2005). Homogeneous sliding modes in the presence of fast actuators. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 572-577). [1582217] (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1582217

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doi = "10.1109/CDC.2005.1582217",

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Levant, A & Fridman, L 2005, Homogeneous sliding modes in the presence of fast actuators. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1582217, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 572-577, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1582217

Homogeneous sliding modes in the presence of fast actuators. / Levant, Arie; Fridman, Leonid.

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 572-577 1582217 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

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

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AB - It is known that the presence of actuators leads to the deterioration of sliding modes with chattering appearance. It is shown in the paper that the higher the order r of the homogeneous sliding mode the less sensitive it is to fast stable actuators. In particular, with the actuator time constant μ ≪ 1 the sliding variable magnitude is proportional to μr.

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Levant A, Fridman L. Homogeneous sliding modes in the presence of fast actuators. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 572-577. 1582217. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). https://doi.org/10.1109/CDC.2005.1582217

Homogeneous sliding modes in the presence of fast actuators

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