Event-Triggered Output-Feedback Control for Disturbed Linear Systems

Hao Jiang,Cui Zhang

doi:10.1155/2018/1548945

Abstract

In the last few decades, event-triggered control received considerable attention, because of advantages in reducing the resource utilization, such as communication load and processor. In this paper, we propose an event-triggered output-feedback controller for disturbed linear systems, in order to achieve both better resource utilization and disturbance attenuation properties at the same time. Based on our prior work on state-feedback H∞ control for disturbed systems, we propose an approach to design an output-feedback H∞ controller for the system whose states are not completely observable, and a sufficient condition guaranteeing the asymptotic stability and robustness of the system is given in the form of LMIs (Linear Matrix Inequalities).

Highlights

The implementation of the feedback law is typically done by the time-triggered scheme, in which sampling the state and computing and transmitting the control input are executed in an equidistant time interval called sampling period
Event-triggered control can improve the overall system performance, which should be attributed to a better use of the state information, because the control input is transmitted to the plant only when the event condition is violated, which indicates the plant states are in an unexpected condition
We address the use of event-triggered control for disturbed systems, and the event condition given to determine the feedback frequency is decided in order to achieve purpose of disturbance rejection

Summary

Introduction

The implementation of the feedback law is typically done by the time-triggered scheme, in which sampling the state and computing and transmitting the control input are executed in an equidistant time interval called sampling period. The authors either design the controller making the closed-loop system matrix Hurwitz [18, 21] or design a robust H∞ controller in a continuous feedback scheme and achieve the L2 stability of the system by adjusting the conservatism of the event condition [14, 15]. These methods will bring in very large conservatism when designing the controller by solving an optimal program.

Problem Statement and Preliminaries

Design of Event-Triggered Output-Feedback Controller

Simulation

Conclusions