A Switched Approach to Robust Stabilization of Multiple Coupled Networked Control Systems

Mei Yu,Wen Tan,Junyan Yu,Nan Ding

doi:10.1155/2014/623697

Abstract

This paper proposes a switched approach to robust stabilization of a collection of coupled networked controlled systems (NCSs) with node devices acting over a limited communication channel. We suppose that the state information of every subsystem is split into different packets and only one packet of the subsystem can be transmitted at a time. Multiple NCSs with norm-bounded parameter uncertainties and multiple transmissions are modeled as a periodic switched system in this paper. State feedback controllers can be constructed in terms of linear matrix inequalities. A numerical example is given to show that a collection of uncertain NCSs with the problem of limited communication can be effectively stabilized via the designed controller.

Highlights

Networked control systems (NCSs) are feedback control systems with network communication channels used for the communications between spatially distributed system components like sensors, actuators, and controllers
This paper models uncertain coupled NCSs with multiple packet transmission as switched system
It is noted that special structured matrices Djq have been introduced into the closed-loop system to deal with multiple packet transmission and this makes the feedback controller design difficult

Summary

Introduction

Networked control systems (NCSs) are feedback control systems with network communication channels used for the communications between spatially distributed system components like sensors, actuators, and controllers. Of NCSs with multiple-packet transmissions over tokenpassing bus networks was considered in Yu et al [14, 15], where sufficient conditions for stabilization and design of controllers have been obtained through modeling NCSs as periodically switched systems. Reference [27] considered the problem of robust stabilization of linear uncertain discrete-time systems via limited capacity communication channels. Reference [16] further modeled multiple NCSs as a periodic switched system, with only one subsystem able to access the network to transmit all of its present state information at a time. They did not deal with the problem of multiple packet transmission. If a computer does not have information to transmit, it passes the token on to the workstation

System Modelling

Stability Analysis and Stabilization Result

A Simulation Example

Conclusion