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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	2013-2018
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2
DOIs	https://doi.org/10.1109/CDC.2001.981206
Publication status	Published - 2001
Externally published	Yes

Keywords

Feedback
Nonlinear
Stability
Uncertainty

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10.1109/CDC.2001.981206

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title = "A limit to the capability of feedback",

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.",

keywords = "Feedback, Nonlinear, Stability, Uncertainty",

author = "Yanxia Zhang and Lei Guo",

year = "2001",

doi = "10.1109/CDC.2001.981206",

language = "English",

volume = "2",

pages = "2013--2018",

journal = "Proceedings of the IEEE Conference on Decision and Control",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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TY - JOUR

T1 - A limit to the capability of feedback

AU - Zhang, Yanxia

AU - Guo, Lei

PY - 2001

Y1 - 2001

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 - https://www.scopus.com/pages/publications/0035711249

U2 - 10.1109/CDC.2001.981206

DO - 10.1109/CDC.2001.981206

M3 - Article

AN - SCOPUS:0035711249

SN - 0743-1546

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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