Stability Analysis andH∞Output Tracking Control for Linear Systems with Time-Varying Delays

K H Kim,E J Cha,M J Park,O M Kwon

doi:10.1155/2014/184292

Abstract

The problem of stability analysis andH∞output tracking control for linear systems with time-varying delays is studied. First, by construction of a newly augmented Lyapunov-Krasovskii functional, a delay-dependent stability criterion for nominal systems with time-varying delays is established in terms of linear matrix inequalities (LMIs). Second, based on theH∞sense, the proposed method is extended to solve the problem of designing anH∞output tracking controller to track the output of a given reference model. Finally, three examples are included to show the validity and effectiveness of the presented delay-dependent stability and theH∞output tracking controller design.

Highlights

The problem of output tracking control has received a great deal of attention since this issue is an important requirement in many systems [1,2,3,4,5]
Motivated by the matters mentioned above, this paper investigates the problem of stability analysis and H∞ tracking controller designing for linear systems with time-varying delays and disturbances
The second subsection will investigate the problem of an H∞ output tracking controller design method for the augmented system (5) based on the results of Theorem 5

Summary

Introduction

The problem of output tracking control has received a great deal of attention since this issue is an important requirement in many systems [1,2,3,4,5]. Output tracking controller design methods are utilized in robot systems [1, 2], flight systems [3, 4], and so on. In [5], the problem of output tracking control is derived in H∞ sense for timedelayed systems with nonlinear perturbations. Disturbances should be considered in designing output tracking control since disturbances can lead to adverse effects on the performance of systems. To minimize the effects of the disturbances on systems, one possible approach is to design a tracking controller in H∞ sense. H∞ output tracking controller has an objective of designing a controller such that the closedloop system is asymptotically stable and the tracking error by the effects of disturbances does not exceed a prescribed level

Objectives

Results

Conclusion