Abstract | ||
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Although transmission of a data packet containing sensory information in a networked control system improves the quality of regulation, it has indeed a price from the communication perspective. It is, therefore, rational that such a data packet be transmitted only if it is valuable in the sense of a cost-benefit analysis. Yet, the fact is that little is known so far about this valuation of information and its connection with traditional event-triggered communication. In the present article, we study this intrinsic property of networked control systems by formulating a rate-regulation trade-off between the packet rate and the regulation cost with an event trigger and a controller as two distributed decision makers, and show that the valuation of information is conceivable and quantifiable grounded on this trade-off. In particular, we characterize an equilibrium in the rate-regulation trade-off, and quantify the value of information
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there as the variation in a so-called value function with respect to a piece of sensory information that can be communicated to the controller at each time
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. We prove that, for a multi-dimensional Gauss--Markov process,
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is a symmetric function of the discrepancy between the state estimates at the event trigger and the controller, and that a data packet containing sensory information at time
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should be transmitted to the controller only if
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is nonnegative. Moreover, we discuss that
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can be computed with arbitrary accuracy, and that it can be approximated by a closed-form quadratic function with a performance guarantee. |
Year | DOI | Venue |
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2022 | 10.1109/TAC.2021.3113472 | IEEE Transactions on Automatic Control |
Keywords | DocType | Volume |
Decision policies,Nash equilibria,networked control systems,rate-regulation tradeoff,semantic communications,semantic metrics,value of information | Journal | 67 |
Issue | ISSN | Citations |
7 | 0018-9286 | 1 |
PageRank | References | Authors |
0.35 | 13 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Touraj Soleymani | 1 | 16 | 3.04 |
John S. Baras | 2 | 1953 | 257.50 |
Sandra Hirche | 3 | 961 | 106.36 |