Feedback control under data rate constraints: An overview
AuthorNair, GN; Fagnani, F; Zampieri, S; Evans, RJ
Source TitleProceedings of the Institute of Electrical and Electronics Engineers (IEEE)
PublisherINSTITUTE OF ELECTRICAL ELECTRONICS ENGINEERS (IEEE)
AffiliationElectrical and Electronic Engineering
Document TypeJournal Article
CitationsNair, G. N., Fagnani, F., Zampieri, S. & Evans, R. J. (2007). Feedback control under data rate constraints: An overview. Proceedings of the IEEE, 95 (1), pp.108-137. https://doi.org/10.1109/JPROC.2006.887294.
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The emerging area of control with limited data rates incorporates ideas from both control and information theory. The data rate constraint introduces quantization into the feedback loop and gives the interconnected system a two-fold nature, continuous and symbolic. In this paper, we review the results available in the literature on data-rate-limited control. For linear systems, we show how fundamental tradeoffs between the data rate and control goals, such as stability, mean entry times, and asymptotic state norms, emerge naturally. While many classical tools from both control and information theory can still be used in this context, it turns out that the deepest results necessitate a novel, integrated view of both disciplines.
KeywordsArtificial Intelligence and Image Processing
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