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Robust adaptive L2-gain control of polytopic MIMO LTI systems - LMI results. / Peaucelle, Dimitri; Fradkov, Alexander.

в: Systems and Control Letters, Том 57, № 11, 11.2008, стр. 881-887.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Peaucelle, D & Fradkov, A 2008, 'Robust adaptive L2-gain control of polytopic MIMO LTI systems - LMI results', Systems and Control Letters, Том. 57, № 11, стр. 881-887. https://doi.org/10.1016/j.sysconle.2008.04.005

APA

Peaucelle, D., & Fradkov, A. (2008). Robust adaptive L2-gain control of polytopic MIMO LTI systems - LMI results. Systems and Control Letters, 57(11), 881-887. https://doi.org/10.1016/j.sysconle.2008.04.005

Vancouver

Peaucelle D, Fradkov A. Robust adaptive L2-gain control of polytopic MIMO LTI systems - LMI results. Systems and Control Letters. 2008 Нояб.;57(11):881-887. https://doi.org/10.1016/j.sysconle.2008.04.005

Author

Peaucelle, Dimitri ; Fradkov, Alexander. / Robust adaptive L2-gain control of polytopic MIMO LTI systems - LMI results. в: Systems and Control Letters. 2008 ; Том 57, № 11. стр. 881-887.

BibTeX

@article{a665bf4eee4440cdaca565ab9f3f56cc,
title = "Robust adaptive L2-gain control of polytopic MIMO LTI systems - LMI results",
abstract = "Passification-based direct adaptive control is considered for polytopic uncertain linear time-invariant multi-input multi-output systems. Linear Matrix Inequality based results are provided to guarantee that the adaptive algorithm passifies the system whatever the uncertain parameters in some given set. Contributions are based on the introduction of a parallel feed-forward shunt that liberates the strong equality constraint P B = CT GT often used for strict passification. The shunt, combined with the introduction of slack variables, allows a conclusion with easy to test conditions without restrictions on which data is uncertain in the process model. The resulting adaptive control is such that control gain is bounded in a chosen set whatever the bounded disturbance. Moreover, it proves to be not worse than computable parameter-dependent static output-feedback controls with respect to L2 gain attenuation. A simple academic example illustrates the results.",
keywords = "Adaptive control, L gain, LMI, Output-feedback, Passivity, Polytopic systems, Robustness",
author = "Dimitri Peaucelle and Alexander Fradkov",
note = "Funding Information: This work is supported by CNRS-RAS research cooperation program No. 19134 and Complex Program of the Presidium of RAS #22 “Control processes”, project 1.8. ",
year = "2008",
month = nov,
doi = "10.1016/j.sysconle.2008.04.005",
language = "English",
volume = "57",
pages = "881--887",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",
number = "11",

}

RIS

TY - JOUR

T1 - Robust adaptive L2-gain control of polytopic MIMO LTI systems - LMI results

AU - Peaucelle, Dimitri

AU - Fradkov, Alexander

N1 - Funding Information: This work is supported by CNRS-RAS research cooperation program No. 19134 and Complex Program of the Presidium of RAS #22 “Control processes”, project 1.8.

PY - 2008/11

Y1 - 2008/11

N2 - Passification-based direct adaptive control is considered for polytopic uncertain linear time-invariant multi-input multi-output systems. Linear Matrix Inequality based results are provided to guarantee that the adaptive algorithm passifies the system whatever the uncertain parameters in some given set. Contributions are based on the introduction of a parallel feed-forward shunt that liberates the strong equality constraint P B = CT GT often used for strict passification. The shunt, combined with the introduction of slack variables, allows a conclusion with easy to test conditions without restrictions on which data is uncertain in the process model. The resulting adaptive control is such that control gain is bounded in a chosen set whatever the bounded disturbance. Moreover, it proves to be not worse than computable parameter-dependent static output-feedback controls with respect to L2 gain attenuation. A simple academic example illustrates the results.

AB - Passification-based direct adaptive control is considered for polytopic uncertain linear time-invariant multi-input multi-output systems. Linear Matrix Inequality based results are provided to guarantee that the adaptive algorithm passifies the system whatever the uncertain parameters in some given set. Contributions are based on the introduction of a parallel feed-forward shunt that liberates the strong equality constraint P B = CT GT often used for strict passification. The shunt, combined with the introduction of slack variables, allows a conclusion with easy to test conditions without restrictions on which data is uncertain in the process model. The resulting adaptive control is such that control gain is bounded in a chosen set whatever the bounded disturbance. Moreover, it proves to be not worse than computable parameter-dependent static output-feedback controls with respect to L2 gain attenuation. A simple academic example illustrates the results.

KW - Adaptive control

KW - L gain

KW - LMI

KW - Output-feedback

KW - Passivity

KW - Polytopic systems

KW - Robustness

UR - http://www.scopus.com/inward/record.url?scp=50949086514&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2008.04.005

DO - 10.1016/j.sysconle.2008.04.005

M3 - Article

AN - SCOPUS:50949086514

VL - 57

SP - 881

EP - 887

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

IS - 11

ER -

ID: 87380372