Quantised output feedback control via limited capacity communication networks

Qing-Quan Liu and Fang Jin

International Journal of Systems Science, 2012, vol. 43, issue 12, 2288-2296

Abstract: This article addresses the output feedback stability problem for single-input single-output (SISO) linear systems with quantised measurements of the plant output, where sensors and controllers are connected via errorless digital channels carrying a finite number of bits per unit time. The main idea here is to present a lower bound of data rates, above which there exists a quantisation, coding and control scheme to guarantee both stability and a prescribed control performance of the unstable plant. A quantisation and coding scheme, which is based on the distribution of measurements and the dynamics of the plant, is proposed. The proof techniques rely on both information-theoretic and control-theoretic tools. An illustrative example is given to demonstrate the effectiveness of the proposed scheme.

Date: 2012
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DOI: 10.1080/00207721.2011.572196

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