Stabilization of systems with asynchronous sensors and controllers

TL;DR

This paper investigates the stabilization of networked control systems with asynchronous sensors and controllers, providing conditions for stabilization despite clock offsets and analyzing the maximum offset range for stabilization.

Contribution

It introduces a sufficient condition for stabilizing multi-input linear systems with unknown clock offsets and derives bounds for offset ranges in first-order systems.

Findings

A sufficient condition for stabilization with unknown clock offsets.

Maximum offset range for stabilization in first-order systems.

Comparison of static and dynamic output feedback controllers' offset bounds.

Abstract

We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear systems and provide a sufficient condition for the existence of linear time-invariant controllers that are capable of stabilizing the closed-loop system for every clock offset in a given range of admissible values. For first-order systems, we next obtain the maximum length of the offset range for which the system can be stabilized by a single controller. Finally, this bound is compared with the offset bounds that would be allowed if we restricted our attention to static output feedback controllers.