Stabilization of nonlinear systems with limited information feedback

Daniel Liberzon; João P. Hespanha

doi:10.1109/TAC.2005.849258

Stabilization of nonlinear systems with limited information feedback

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

Abstract

This note is concerned with the problem of stabilizing a nonlinear continuous-time system by using sampled encoded measurements of the state. We demonstrate that global asymptotic stabilization is possible if a suitable relationship holds between the number of values taken by the encoder, the sampling period, and a system parameter, provided that a feedback law achieving input-to-state stability with respect to measurement errors can be found. The issue of relaxing the latter condition is also discussed.

Original language	English (US)
Pages (from-to)	910-915
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	50
Issue number	6
DOIs	https://doi.org/10.1109/TAC.2005.849258
State	Published - Jun 2005

Keywords

Asymptotic stability
Encoding
Input-to-state stability
Limited information
Measurement errors
Nonlinear system

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Online availability

10.1109/TAC.2005.849258

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title = "Stabilization of nonlinear systems with limited information feedback",

abstract = "This note is concerned with the problem of stabilizing a nonlinear continuous-time system by using sampled encoded measurements of the state. We demonstrate that global asymptotic stabilization is possible if a suitable relationship holds between the number of values taken by the encoder, the sampling period, and a system parameter, provided that a feedback law achieving input-to-state stability with respect to measurement errors can be found. The issue of relaxing the latter condition is also discussed.",

keywords = "Asymptotic stability, Encoding, Input-to-state stability, Limited information, Measurement errors, Nonlinear system",

author = "Daniel Liberzon and Hespanha, {Jo{\~a}o P.}",

note = "Funding Information: Manuscript received February 19, 2004; revised November 8, 2004. Recommended by Associate Editor Z.-P. Jiang. This work was supported by the National Science Foundation under Grant ECS-0134115 CAR, by the DARPA/AFOSR MURI Award F49620-02-1-0325, by the National Science Foundation under Grant CCR-0311084, and by the Army Research Office under Grant DAAD19-03-1-0144.",

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language = "English (US)",

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AU - Liberzon, Daniel

AU - Hespanha, João P.

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PY - 2005/6

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N2 - This note is concerned with the problem of stabilizing a nonlinear continuous-time system by using sampled encoded measurements of the state. We demonstrate that global asymptotic stabilization is possible if a suitable relationship holds between the number of values taken by the encoder, the sampling period, and a system parameter, provided that a feedback law achieving input-to-state stability with respect to measurement errors can be found. The issue of relaxing the latter condition is also discussed.

AB - This note is concerned with the problem of stabilizing a nonlinear continuous-time system by using sampled encoded measurements of the state. We demonstrate that global asymptotic stabilization is possible if a suitable relationship holds between the number of values taken by the encoder, the sampling period, and a system parameter, provided that a feedback law achieving input-to-state stability with respect to measurement errors can be found. The issue of relaxing the latter condition is also discussed.

KW - Asymptotic stability

KW - Encoding

KW - Input-to-state stability

KW - Limited information

KW - Measurement errors

KW - Nonlinear system

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Stabilization of nonlinear systems with limited information feedback

Abstract

Keywords

ASJC Scopus subject areas

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