Joint Cross-layer Optimization in Real-Time Networked Control Systems

TL;DR

This paper develops a joint optimization framework for control and communication in networked control systems, achieving near-optimal control performance through integrated sampling, scheduling, and congestion control strategies.

Contribution

It introduces a novel joint optimization approach combining control and networking, deriving explicit optimal policies under resource constraints.

Findings

Optimal control with threshold-based sampling policy.

Back-pressure scheduler with simple congestion control.

Validated performance improvements in multi-loop NCS simulations.

Abstract

Networked control system (NCS) refer to a set of control loops that are closed over a communication network. In this article, the joint operation of control and networking for NCS is investigated wherein the network serves the sensor-to-controller communication links for multiple stochastic linear time-invariant (LTI) sub-systems. The sensors sample packets based on the observed plant state, which they send over a shared multi-hop network. The network has limited communication resources, which need to be assigned to competing links to support proper control loop operation. In this set-up, we formulate an optimization problem to minimize the weighted-sum linear-quadratic-Gaussian (LQG) cost of all loops, taking into account the admissible sampling, control, congestion control and scheduling policies. Under some mild assumptions on the sampling frequencies of the control loops and the communication network, we find the joint optimal solution to be given by a certainty equivalence control with threshold-based sampling policy, as well as a back-pressure type scheduler with a simple pass-through congestion control. The interface between network and control loops is identified to be the buffer state of the sensor node, which can be interpreted as network price for sampling a packet from control perspective. We validate our theoretical claims by simulating NCSs comprising of multiple LTI stochastic control loops communicating over a two-hop cellular network.