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Output Feedback Stabilization of Networked Control Systems Under a Stochastic Scheduling Protocol.

Jin Zhang, Chen Peng, Xiangpeng Xie

IEEE Transactions on Cybernetics

|February 15, 2019

Summary

This study stabilizes networked control systems using an independent and identically distributed (i.i.d.) protocol. It develops a model accounting for network delays and packet loss, ensuring system stability via matrix inequalities.

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Area of Science:

Control Engineering
Networked Control Systems
Stochastic Systems

Background:

Networked control systems (NCS) face challenges from communication constraints like delay and packet loss.
Stochastic scheduling protocols are crucial for managing data transmission in NCS.

Purpose of the Study:

To investigate output feedback stabilization for NCS under an i.i.d. stochastic scheduling protocol.
To develop a robust control strategy addressing network-induced uncertainties.

Main Methods:

A stochastic impulsive delayed model is formulated to represent the NCS.
Lyapunov-Krasovskii functional approach is employed to derive stability conditions.
An optimization algorithm is used for controller and protocol parameter design.

Main Results:

Sufficient conditions for mean-square stability are established using matrix inequalities.
A dynamic output feedback controller and optimal i.i.d. protocol parameters are determined simultaneously.
The proposed method's validity is confirmed through two numerical examples.

Conclusions:

The presented approach effectively stabilizes NCS despite network uncertainties.
The optimization algorithm provides a unified framework for controller and protocol design.
This work contributes to the robust design of NCS with stochastic scheduling.