An L2-Consistent Data Transmission Sequence for Linear Systems

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3 Citations (Scopus)


In this paper, we tackle the problem of selecting a sparse data transmission sequence for a networked control system while guaranteeing a certain {\mathcal{L}-2}-induced norm bound with respect to an exogenous disturbance input. As the main contribution of this work, for every periodic transmission sequence, we provide a transmission sequence counterpart, aperiodic in general, that results in fewer or at most the same number of transmissions while still guaranteeing an {\mathcal{L}-2} control policy with the same {\mathcal{L}-2}-induced norm bound as that of the periodic transmission policy. In this sense, the proposed transmission sequence is called {\mathcal{L}-2}-consistent. Moreover, we show that as the horizon approaches infinity, the proposed {\mathcal{L}-2}consistent transmission sequence counterpart of every periodic transmission sequence approaches a periodic transmission sequence with an equal or larger time period.

Original languageEnglish
Title of host publication2019 IEEE 58th Conference on Decision and Control, CDC 2019
PublisherInstitute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)9781728113982
Publication statusPublished - Dec 2019
Event58th IEEE Conference on Decision and Control (CDC 2019) - Nice, France
Duration: 11 Dec 201913 Dec 2019

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370


Conference58th IEEE Conference on Decision and Control (CDC 2019)
Abbreviated titleCDC 2019
Internet address


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