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Adaptative delta-modulation coding for networked controlled systems

Abstract : This paper investigates the closed-loop properties of the differential coding scheme known as Delta-Modulation (Delta-M ) when used in feedback loops within the context of linear systems controlled through some communication network. We propose a new modified scheme of the original form of the Delta-M algorithm which improves the closed-loop properties. Semiglobal stability with convergence to a finite ball is proved in this framework, where the domain of attraction may be arbitrarily enlarged by tuning a quantization factor Delta, in tradeoff with the precision at steady state. In a further step, parameter Delta is made adaptive, by defining an adaptation law exclusively in terms of information available at both the transmitter and receiver. With this approach, global asymptotic Stability of the Networked Controlled System is achieved for a class of unstable plants.
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https://hal.archives-ouvertes.fr/hal-00130512
Contributor : Carlos Canudas de Wit <>
Submitted on : Monday, February 12, 2007 - 3:21:18 PM
Last modification on : Wednesday, May 13, 2020 - 4:16:01 PM
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  • HAL Id : hal-00130512, version 1

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Fabio Gomez Estern, Carlos Canudas de Wit, Francisco Rubio, Jose Fornes. Adaptative delta-modulation coding for networked controlled systems. American Control Conference (ACC 2007), Jul 2007, New York City, United States. pp.7. ⟨hal-00130512⟩

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