Stabilization of uncertain systems in the presence of finite data-rate feedback

Nuno C. Marlins; Munther A. Dahleh; Nicola Elia

doi:10.1016/S1474-6670(17)31359-9

Stabilization of uncertain systems in the presence of finite data-rate feedback

Nuno C. Marlins, Munther A. Dahleh, Nicola Elia

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

In this paper, we address the stahilizability of uncertain systems in the presence of finite data-rate feedback. In our formulation, a finite data-rate link is used to transmit state measurements between the plant and the controller. We determine sufficient conditions for internal and external stabilizability of the feedback loop. Stability in the presence of uncertainty in the plant is analyzed using a small-gain argument. We show that larger uncertainty can be tolerated at the expense of higher transmission rates, A comparison is established between the sufficient conditions for robust stabilizability and the necessary conditions for the stability of the nominal model. We also suggest how our results can be used to determine the stabilizability of a class of non-linear systems.

Original language	English (US)
Pages (from-to)	1015-1020
Number of pages	6
Journal	IFAC Proceedings Volumes (IFAC-PapersOnline)
Volume	37
Issue number	13
DOIs	https://doi.org/10.1016/S1474-6670(17)31359-9
State	Published - 2004
Externally published	Yes
Event	6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004 - Stuttgart, Germany Duration: Sep 1 2004 → Sep 3 2004

Bibliographical note

Funding Information:
The authors would like to thank Prof. Sekhar Tatikonda (Yale University) for providing pre-print papers comprising some of his most recent results. We also would like to thank Prof. Sanjoy Mitter (M.LT.) for giving valuable motivation. This work was sponsored by the University of California - Los Angeles, MURI project title: "Cooperative Control ofDistributed Autonomous Vehicles in Adversarial Environments", award: 0205-G-CB222. Nuno C. Martins was partially supported by the Portuguese Foundation for Science and Technology and the European Social Fund, PRAXIS BD19630/99. Nicola Elia has been supported by NSF under the Career Award grant number ECS-0093950.

Publisher Copyright:
Copyright © 2004 IFAC.

Keywords

Information constraints
Robustness
Stabilization
Uncertainty

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abstract = "In this paper, we address the stahilizability of uncertain systems in the presence of finite data-rate feedback. In our formulation, a finite data-rate link is used to transmit state measurements between the plant and the controller. We determine sufficient conditions for internal and external stabilizability of the feedback loop. Stability in the presence of uncertainty in the plant is analyzed using a small-gain argument. We show that larger uncertainty can be tolerated at the expense of higher transmission rates, A comparison is established between the sufficient conditions for robust stabilizability and the necessary conditions for the stability of the nominal model. We also suggest how our results can be used to determine the stabilizability of a class of non-linear systems.",

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note = "Funding Information: The authors would like to thank Prof. Sekhar Tatikonda (Yale University) for providing pre-print papers comprising some of his most recent results. We also would like to thank Prof. Sanjoy Mitter (M.LT.) for giving valuable motivation. This work was sponsored by the University of California - Los Angeles, MURI project title: {"}Cooperative Control ofDistributed Autonomous Vehicles in Adversarial Environments{"}, award: 0205-G-CB222. Nuno C. Martins was partially supported by the Portuguese Foundation for Science and Technology and the European Social Fund, PRAXIS BD19630/99. Nicola Elia has been supported by NSF under the Career Award grant number ECS-0093950. Publisher Copyright: Copyright {\textcopyright} 2004 IFAC.; 6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004 ; Conference date: 01-09-2004 Through 03-09-2004",

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N2 - In this paper, we address the stahilizability of uncertain systems in the presence of finite data-rate feedback. In our formulation, a finite data-rate link is used to transmit state measurements between the plant and the controller. We determine sufficient conditions for internal and external stabilizability of the feedback loop. Stability in the presence of uncertainty in the plant is analyzed using a small-gain argument. We show that larger uncertainty can be tolerated at the expense of higher transmission rates, A comparison is established between the sufficient conditions for robust stabilizability and the necessary conditions for the stability of the nominal model. We also suggest how our results can be used to determine the stabilizability of a class of non-linear systems.

AB - In this paper, we address the stahilizability of uncertain systems in the presence of finite data-rate feedback. In our formulation, a finite data-rate link is used to transmit state measurements between the plant and the controller. We determine sufficient conditions for internal and external stabilizability of the feedback loop. Stability in the presence of uncertainty in the plant is analyzed using a small-gain argument. We show that larger uncertainty can be tolerated at the expense of higher transmission rates, A comparison is established between the sufficient conditions for robust stabilizability and the necessary conditions for the stability of the nominal model. We also suggest how our results can be used to determine the stabilizability of a class of non-linear systems.

KW - Information constraints

KW - Robustness

KW - Stabilization

KW - Uncertainty

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ER -

Stabilization of uncertain systems in the presence of finite data-rate feedback

Abstract

Bibliographical note

Keywords

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