Uncertain AoI in Stochastic Optimal Control of Networked and Constrained LTI Systems

TL;DR

This paper develops an optimization-based control scheme for networked LTI systems that accounts for stochastic communication delays and disturbances, using age of information and disturbance feedback to improve control performance.

Contribution

It introduces a novel control approach combining age of information and disturbance feedback, with controllers synthesized via semi-definite programming for constrained stochastic systems.

Findings

Effective handling of uncertainties in networked control systems.

Controller synthesis via semi-definite programs for constrained systems.

Improved robustness and performance in stochastic networked control.

Abstract

This paper addresses finite-time horizon optimal control of single-loop networked control systems with stochastically modeled communication channel and disturbances. To cope with the uncertainties, an optimization-based control scheme is proposed which uses a disturbance feedback and the age of information as central aspects. The disturbance feedback is an extension of the control law used for balanced stochastic optimal control previously proposed for control systems without network. Balanced optimality is understood as a compromise between minimizing of expected deviations from the reference and minimization of the uncertainty of future states. Time-varying state constraints as well as time-invariant input constraints are considered, and the controllers are synthesized by semi-definite programs.