Data rate limitations for stabilization of uncertain systems

Kunihisa Okano; Hideaki Ishii

doi:10.1109/CDC.2012.6426509

Data rate limitations for stabilization of uncertain systems

Kunihisa Okano, Hideaki Ishii

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

9 Citations (Scopus)

Abstract

This paper considers stabilization of parametrically uncertain systems via lossy and data-rate-constrained channels. We propose a quantization scheme which helps to reduce the required data rate for the stabilization compared with the case using the uniform quantizer; the existing works tackling the control of uncertain systems over communication channels commonly use the uniform quantizer. For systems utilizing the new quantizer, a necessary condition and a sufficient condition are derived. The conditions demonstrate limitations and tradeoffs among data rate, packet loss probability, and uncertainty bounds on plant parameters for stabilization.

Original language	English
Article number	6426509
Pages (from-to)	3286-3291
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6426509
Publication status	Published - 2012
Externally published	Yes
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: Dec 10 2012 → Dec 13 2012

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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10.1109/CDC.2012.6426509

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AU - Ishii, Hideaki

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AB - This paper considers stabilization of parametrically uncertain systems via lossy and data-rate-constrained channels. We propose a quantization scheme which helps to reduce the required data rate for the stabilization compared with the case using the uniform quantizer; the existing works tackling the control of uncertain systems over communication channels commonly use the uniform quantizer. For systems utilizing the new quantizer, a necessary condition and a sufficient condition are derived. The conditions demonstrate limitations and tradeoffs among data rate, packet loss probability, and uncertainty bounds on plant parameters for stabilization.

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ER -

Data rate limitations for stabilization of uncertain systems

Abstract

ASJC Scopus subject areas

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