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CDC
2015
IEEE

Optimal sensor transmission energy allocation for linear control over a packet dropping link with energy harvesting

3 years 6 months ago
Optimal sensor transmission energy allocation for linear control over a packet dropping link with energy harvesting
— 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...
Steffi Knorn, Subhrakanti Dey
Added 18 Apr 2016
Updated 18 Apr 2016
Type Journal
Year 2015
Where CDC
Authors Steffi Knorn, Subhrakanti Dey
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