Ni, Yuqing and Ren, Xiaoqiang and Dey, Subhrakanti and Shi, Ling
(2021)
Remote State Estimation With a Strategic Sensor Using a Stackelberg Game Framework.
IEEE Transactions on Control of Network Systems, 8 (4).
pp. 1613-1623.
ISSN 2372-2533
Abstract
This article studies how to design the encoder
and decoder in the context of dynamic remote state estimation with a strategic sensor. The cost of the remote
estimator is the estimation error covariance, whereas the
cost of the self-interested strategic sensor includes an additional term related to its private information. A Stackelberg game is employed to model the interaction between
the strategic sensor and the remote estimator, where the
leader (strategic sensor) first designs the encoder, and the
follower (remote estimator) then determines the decoder.
We derive the optimal encoder and decoder based on the
mismatched cost functions, and characterize the equilibrium for some special cases. One interesting result is that
the equilibrium can be achieved by transmitting nothing
under certain conditions. The main results are illustrated
by numerical examples.
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