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Feedback Control Over Noisy Channels: Characterization of a General Equilibrium

Soleymani, T. ORCID: 0000-0003-1359-8892, Baras, J. S. ORCID: 0000-0002-4955-8561, Hirche, S. ORCID: 0000-0001-7819-5926 & Johansson, K. H. ORCID: 0000-0001-9940-5929 (2022). Feedback Control Over Noisy Channels: Characterization of a General Equilibrium. IEEE Transactions on Automatic Control, 67(7), pp. 3396-3409. doi: 10.1109/tac.2021.3110007

Abstract

In this article, we study an energy-regulation tradeoff that delineates the fundamental performance bound of a feedback control system over a noisy channel in an unreliable communication regime. The channel and the process are modeled by an additive white Gaussian noise channel with fading and a partially observable Gauss–Markov process, respectively. Moreover, the feedback control loop is constructed by designing an encoder with a scheduler and a decoder with a controller. The scheduler and the controller are the decision makers deciding about the transmit power and the control input at each time, respectively. Associated with the energy-regulation tradeoff, we characterize an equilibrium at which neither the scheduler nor the controller has a unilateral incentive to deviate from its policy. We argue that this equilibrium is a general one as it attains global optimality without any restrictions on the information structure or the policy structure, despite the presence of signaling and dual effects.

Publication Type: Article
Additional Information: © 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Publisher Keywords: Communication channels, energyregulation tradeoff, feedback control, global optimality, packet loss, power adaptation, stochastic processes
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > T Technology (General)
Departments: School of Science & Technology
School of Science & Technology > Engineering
SWORD Depositor:
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