Dissipative Output Tracking Control of Linear Systems with Time Delay

Yi Zhang,Yile Zhang,Jinghao Li,Baoyan Zhu

doi:10.1155/2013/324741

Abstract

The problem of dissipative output tracking control of linear systems with time delay is investigated. Firstly, an augmented system is constructed to describe dissipative output tracking control error, and the concept of dissipative output tracking is defined. Based on this, some sufficient conditions are derived in terms of linear matrix inequalities (LMIs) technique, which ensure that the augmented system is dissipative and stable; then design methods of dissipative output tracking state-feedback controller are provided, and the desired controller gain can be expressed through the solutions of LMIs. Finally, a numerical simulation example is given to illustrate the validity of the proposed results.

Highlights

Output tracking control is one of the most fundamental and important control problems in control theory and applications
Compared with some existing results, this paper provides a new way to solve output tracking control problems for linear time-delay systems
Using the well-known PI control approach, we introduce the following error integrator model: q (t) = e (t) = y (t) − yref (t) (4)

Summary

Introduction

Output tracking control is one of the most fundamental and important control problems in control theory and applications. To the best of our knowledge, there are no research on output tracking control problems from the perspective of dissipativity All of these motivate us to achieve the current study. Dissipative output tracking control problem is formulated for linear time-delay systems. Some sufficient conditions are derived such that the considered systems are dissipative and stable by employing LMIs technique Following these results, dissipative output tracking controllers are designed which ensure the resultant closed-loop systems to be stable. Compared with some existing results, this paper provides a new way to solve output tracking control problems for linear time-delay systems.

Problem Formulation

Main Results

Numerical Simulation

Conclusion