Mean-square boundedness of stochastic networked control systems with bounded control inputs

TL;DR

This paper addresses controlling marginally stable linear systems over unreliable networks with bounded inputs, proposing a control policy that ensures the system's state remains mean-square bounded despite communication noise.

Contribution

It introduces a control policy for networked control systems with noisy channels that guarantees mean-square boundedness under mild assumptions and sufficient control authority.

Findings

Control policy achieves mean-square boundedness of the system.

Requires large enough control authority and mild noise assumptions.

Applicable to marginally stable linear systems over unreliable networks.

Abstract

We consider the problem of controlling marginally stable linear systems using bounded control inputs for networked control settings in which the communication channel between the remote controller and the system is unreliable. We assume that the states are perfectly observed, but the control inputs are transmitted over a noisy communication channel. Under mild hypotheses on the noise introduced by the control communication channel and large enough control authority, we construct a control policy that renders the state of the closed-loop system mean-square bounded.