Feedback Control over Noisy Channels: Characterization of a Fundamental Equilibrium

Feedback Control over Noisy Channels: Characterization of a Fundamental Equilibrium

Title : Feedback Control over Noisy Channels: Characterization of a Fundamental Equilibrium
Authors :
Baras, John S.
Hirche, Sandra
Johansson, Karl Henrik
Soleymani, Touraj
Journal : IEEE Transactions on Automatic Control pp. 1-13

In this article, we study an energy-regulation trade-off that delineates the fundamental performance bound of a feedback control system over a noisy channel in an unreliable communication regime. The channel and 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 controller are the decision makers deciding about the transmit power and control input at each time, respectively. Associated with the energy-regulation trade-off, we characterize an equilibrium at which neither the scheduler nor the controller has 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.

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