A limit to the capability of feedback

Yanxia Zhang; Lei Guo

doi:10.1109/CDC.2001.981206

A limit to the capability of feedback

Yanxia Zhang, Lei Guo

CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

The capability of feedback in dealing with internal and external uncertainities for a class of p-th order nonlinear autoregressive control systems was studied. The lipschitz constant of the uncertain nonlinear function was used to describe the size of the uncertainity. Results showed that a globally stabilizing feedback did not exist for the corresponding class of uncertain systems. A quantitative limit to the capability of feedback mechanism in dealing with structural uncertainities was found.

源语言	英语
页（从-至）	2013-2018
页数	6
期刊	Proceedings of the IEEE Conference on Decision and Control
卷	2
DOI	https://doi.org/10.1109/CDC.2001.981206
出版状态	已出版 - 2001
已对外发布	是

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10.1109/CDC.2001.981206

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Zhang, Y., & Guo, L. (2001). A limit to the capability of feedback. Proceedings of the IEEE Conference on Decision and Control, 2, 2013-2018. https://doi.org/10.1109/CDC.2001.981206

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abstract = "The capability of feedback in dealing with internal and external uncertainities for a class of p-th order nonlinear autoregressive control systems was studied. The lipschitz constant of the uncertain nonlinear function was used to describe the size of the uncertainity. Results showed that a globally stabilizing feedback did not exist for the corresponding class of uncertain systems. A quantitative limit to the capability of feedback mechanism in dealing with structural uncertainities was found.",

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AU - Zhang, Yanxia

AU - Guo, Lei

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N2 - The capability of feedback in dealing with internal and external uncertainities for a class of p-th order nonlinear autoregressive control systems was studied. The lipschitz constant of the uncertain nonlinear function was used to describe the size of the uncertainity. Results showed that a globally stabilizing feedback did not exist for the corresponding class of uncertain systems. A quantitative limit to the capability of feedback mechanism in dealing with structural uncertainities was found.

AB - The capability of feedback in dealing with internal and external uncertainities for a class of p-th order nonlinear autoregressive control systems was studied. The lipschitz constant of the uncertain nonlinear function was used to describe the size of the uncertainity. Results showed that a globally stabilizing feedback did not exist for the corresponding class of uncertain systems. A quantitative limit to the capability of feedback mechanism in dealing with structural uncertainities was found.

KW - Feedback

KW - Nonlinear

KW - Stability

KW - Uncertainty

UR - http://www.scopus.com/inward/record.url?scp=0035711249&partnerID=8YFLogxK

U2 - 10.1109/CDC.2001.981206

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M3 - Article

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VL - 2

SP - 2013

EP - 2018

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

A limit to the capability of feedback

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