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    Optimal Sensor Transmission Energy Allocation for Linear Control Over a Packet Dropping Link with Energy Harvesting


    Knorn, Steffi and Dey, Subhrakanti (2015) Optimal Sensor Transmission Energy Allocation for Linear Control Over a Packet Dropping Link with Energy Harvesting. In: 2015 54th IEEE Conference on Decision and Control (CDC). IEEE, pp. 1199-1204. ISBN 978-1-4799-7886-1

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    Abstract

    This paper studies a closed loop linear control system. The sensor computes a state estimate and sends it to the controller/actuator in the receiver block over a randomly fading packet dropping link. The receiver sends an ACK/NACK packet to the transmitter over a link. It is assumed that the transmission energy per packet at the sensor depletes a battery of limited capacity, replenished by an energy harvester. The objective is to design an optimal energy allocation policy and an optimal control policy so that a finite horizon LQG control cost is minimized. It is shown that in case the receiver to sensor feedback channel is free of errors, a separation principle holds. Hence, the optimal LQG controller is linear, the Kalman filter is optimal and the optimal energy allocation policy is obtained via solving a backward dynamic programming equation. In case the feedback channel is erroneous, the separation principle does not hold. In this case, we propose a suboptimal policy where the controller still uses a linear control, and the transmitter minimizes an expected sum of the trace of an “estimated” receiver state estimation error covariance matrix. Simulations are used to illustrate the relative performance of the proposed algorithms and various heuristic algorithms for both the perfect and imperfect feedback cases. It is seen that the dynamic programming based policies outperform the simple heuristic policies by a margin.

    Item Type: Book Section
    Additional Information: Cite as: S. Knorn and S. Dey, "Optimal sensor transmission energy allocation for linear control over a packet dropping link with energy harvesting," 2015 54th IEEE Conference on Decision and Control (CDC), 2015, pp. 1199-1204, doi: 10.1109/CDC.2015.7402374.
    Keywords: Optimal Sensor; Transmission Energy; Allocation; Linear Control; Packet Dropping Link; Energy Harvesting;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 14534
    Identification Number: https://doi.org/10.1109/CDC.2015.7402374
    Depositing User: Subhrakanti Dey
    Date Deposited: 15 Jun 2021 14:12
    Publisher: IEEE
    Refereed: Yes
    URI:

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