Optimal Sequence-Based LQG Control over TCP-like Networks Subject to Random Transmission Delays and Packet Losses

TL;DR

This paper develops an optimal sequence-based LQG control method for networked control systems over TCP-like networks with stochastic delays and packet losses, improving control performance.

Contribution

It introduces a novel optimal control solution for sequence-based LQG control under stochastic network conditions, establishing the separation principle.

Findings

Optimal controller outperforms existing sequence-based methods.

Separation principle holds in the stochastic network setting.

Simulation results confirm improved control performance.

Abstract

This paper addresses the problem of sequence-based controller design for Networked Control Systems (NCS), where control inputs and measurements are transmitted over TCP-like network connections that are subject to stochastic packet losses and time-varying packet delays. At every time step, the controller sends a sequence of predicted control inputs to the actuator in addition to the current control input. In this sequence-based setup, we derive an optimal solution to the Linear Quadratic Gaussian (LQG) control problem and prove that the separation principle holds. Simulations demonstrate the improved performance of this optimal controller compared to other sequence-based approaches.