&lt;tex&gt;$H_infty%samp;lt;/tex&gt;Control for Networked Systems With Random Communication Delays

Concepts

EngineeringSystems EngineeringCyber-physical SystemsDistributed SystemsProcess ControlControl System DesignControl SystemsControl TheoryController DesignDistributed ControlStochastic ControlBandwidthBandwidth-constrained CommunicationCommunication DelaysMean Square StabilityNetworked Control SystemsNetworked Control With DelaysStochastic Delay SystemsTime-delay Systems Control

TL;DR

The study focuses on networked systems experiencing two types of random communication delays—from controller to plant and from sensor to controller—over a limited bandwidth channel. The paper addresses designing an observer‑based controller that exponentially stabilizes the networked system in mean‑square sense while achieving a prescribed H∞ disturbance attenuation level. Delays are modeled as a linear function of a Bernoulli random variable, and the controller design is reformulated as a convex optimization problem solvable via linear matrix inequalities. An illustrative example demonstrates the applicability of the proposed controller design method.

Abstract

This note is concerned with a new controller design problem for networked systems with random communication delays. Two kinds of random delays are simultaneously considered: i) from the controller to the plant, and ii) from the sensor to the controller, via a limited bandwidth communication channel. The random delays are modeled as a linear function of the stochastic variable satisfying Bernoulli random binary distribution. The observer-based controller is designed to exponentially stabilize the networked system in the sense of mean square, and also achieve the prescribed H/sub /spl infin// disturbance attenuation level. The addressed controller design problem is transformed to an auxiliary convex optimization problem, which can be solved by a linear matrix inequality (LMI) approach. An illustrative example is provided to show the applicability of the proposed method.