Modeling and Output Feedback Control of Networked Control Systems with Both Time Delays; and Packet Dropouts

Abstract EN

This paper is concerned with the problem of modeling and output feedback controllerdesign for a class of discrete-time networked control systems (NCSs) with time delays andpacket dropouts.

A Markovian jumping method is proposed to deal with random timedelays and packet dropouts.

Different from the previous studies on the issue, the characteristics of networked communication delays and packet dropouts can be truly reflectedby the unified model; namely, both sensor-to-controller (S-C) and controller-to-actuator(C-A) time delays, and packet dropouts are modeled and their history behavior is described by multiple Markov chains.

The resulting closed-loop system is described by a newMarkovian jump linear system (MJLS) with Markov delays model.

Based on Lyapunovstability theory and linear matrix inequality (LMI) method, sufficient conditions of thestochastic stability and output feedback controller design method for NCSs with randomtime delays and packet dropouts are presented.

A numerical example is given to illustrate the effectiveness of the proposed method.