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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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 - 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

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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

Abstract

Keywords

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