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

Hartmut Logemann, Eugene P. Ryan, Ilya Shvartsman

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publicationProceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages392-397
Number of pages6
DOIs
StatePublished - Dec 1 2005
Event44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain
Duration: Dec 12 2005Dec 15 2005

Publication series

NameProceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume2005

Other

Other44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
CountrySpain
CitySeville
Period12/12/0512/15/05

Fingerprint

Linear systems
Hysteresis

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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). [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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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.",
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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 proceedingConference contribution

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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). https://doi.org/10.1109/CDC.2005.1582187