Infinite horizon optimal transmission power control for remote state estimation over fading channels

Xiaoqiang Ren, Junfeng Wu*, Karl Henrik Johansson, Guodong Shi, Ling Shi

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    61 Citations (Scopus)

    Abstract

    This paper studies the joint design over an infinite horizon of the transmission power controller and remote estimator for state estimation over fading channels. A sensor observes a dynamic process and sends its observations to a remote estimator over a wireless fading channel characterized by a time-homogeneous Markov chain. The successful transmission probability depends on both the channel gains and the transmission power used by the sensor. The transmission power control rule and the remote estimator should be jointly designed, aiming to minimize an infinite-horizon cost consisting of the power usage and the remote estimation error.We formulate the joint optimization problem as an average cost belief-state Markov decision process and prove that there exists an optimal deterministic and stationary policy. We then show that when the monitored dynamic process is scalar or the system matrix is orthogonal, the optimal remote estimates depend only on the most recently received sensor observation, and the optimal transmission power is symmetric and monotonically increasing with respect to the norm of the innovation error.

    Original languageEnglish
    Pages (from-to)85-100
    Number of pages16
    JournalIEEE Transactions on Automatic Control
    Volume63
    Issue number1
    DOIs
    Publication statusPublished - 1 Jul 2018

    Fingerprint

    Dive into the research topics of 'Infinite horizon optimal transmission power control for remote state estimation over fading channels'. Together they form a unique fingerprint.

    Cite this