Integral control in the presence of hysteresis: An input-output approach

Hartmut Logemann; Eugene P. Ryan; Ilya Shvartsman

doi:10.1109/CDC.2005.1582187

Integral control in the presence of hysteresis: An input-output approach

Hartmut Logemann, Eugene P. Ryan, Ilya Shvartsman

School of Science, Engineering & Technology (Harrisburg)

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

Abstract

Using an input-output approach, it is shown that under certain mild and natural assumptions, application of integral control to the series interconnection of a hysteretic input nonlinearity, an L² -stable, time-invariant linear system and a non-decreasing globally Lipschitz static output nonlinearity guarantees tracking of constant reference signals, provided the positive time-dependent integrator gain is ultimately smaller than a certain constant determined by a positivity condition in the frequency domain. The input-output result is applied in a general state-space setting wherein the linear component of the interconnection is given by a strongly stable well-posed infinite-dimensional system.

Original language	English (US)
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	392-397
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1582187
State	Published - 2005
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: Dec 12 2005 → Dec 15 2005

Publication series

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

Other

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

All Science Journal Classification (ASJC) codes

General Engineering

Access to Document

10.1109/CDC.2005.1582187

Cite this

Logemann, H., Ryan, E. P., & Shvartsman, I. (2005). Integral control in the presence of hysteresis: An input-output approach. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 392-397). Article 1582187 (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.2005.1582187

Logemann, Hartmut ; Ryan, Eugene P. ; Shvartsman, Ilya. / Integral control in the presence of hysteresis : An input-output approach. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. pp. 392-397 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05).

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title = "Integral control in the presence of hysteresis: An input-output approach",

abstract = "Using an input-output approach, it is shown that under certain mild and natural assumptions, application of integral control to the series interconnection of a hysteretic input nonlinearity, an L2 -stable, time-invariant linear system and a non-decreasing globally Lipschitz static output nonlinearity guarantees tracking of constant reference signals, provided the positive time-dependent integrator gain is ultimately smaller than a certain constant determined by a positivity condition in the frequency domain. The input-output result is applied in a general state-space setting wherein the linear component of the interconnection is given by a strongly stable well-posed infinite-dimensional system.",

author = "Hartmut Logemann and Ryan, {Eugene P.} and Ilya Shvartsman",

year = "2005",

doi = "10.1109/CDC.2005.1582187",

language = "English (US)",

isbn = "0780395689",

series = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

pages = "392--397",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

note = "44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 ; Conference date: 12-12-2005 Through 15-12-2005",

}

Logemann, H, Ryan, EP & Shvartsman, I 2005, Integral control in the presence of hysteresis: An input-output approach. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1582187, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 392-397, 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.2005.1582187

Integral control in the presence of hysteresis: An input-output approach. / Logemann, Hartmut; Ryan, Eugene P.; Shvartsman, Ilya.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 392-397 1582187 (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

TY - GEN

T1 - Integral control in the presence of hysteresis

T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

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AU - Ryan, Eugene P.

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PY - 2005

Y1 - 2005

N2 - Using an input-output approach, it is shown that under certain mild and natural assumptions, application of integral control to the series interconnection of a hysteretic input nonlinearity, an L2 -stable, time-invariant linear system and a non-decreasing globally Lipschitz static output nonlinearity guarantees tracking of constant reference signals, provided the positive time-dependent integrator gain is ultimately smaller than a certain constant determined by a positivity condition in the frequency domain. The input-output result is applied in a general state-space setting wherein the linear component of the interconnection is given by a strongly stable well-posed infinite-dimensional system.

AB - Using an input-output approach, it is shown that under certain mild and natural assumptions, application of integral control to the series interconnection of a hysteretic input nonlinearity, an L2 -stable, time-invariant linear system and a non-decreasing globally Lipschitz static output nonlinearity guarantees tracking of constant reference signals, provided the positive time-dependent integrator gain is ultimately smaller than a certain constant determined by a positivity condition in the frequency domain. The input-output result is applied in a general state-space setting wherein the linear component of the interconnection is given by a strongly stable well-posed infinite-dimensional system.

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DO - 10.1109/CDC.2005.1582187

M3 - Conference contribution

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SN - 0780395689

SN - 9780780395688

T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

SP - 392

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

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Logemann H, Ryan EP, Shvartsman I. Integral control in the presence of hysteresis: An input-output approach. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 392-397. 1582187. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1582187

Integral control in the presence of hysteresis: An input-output approach

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