New time-domain sufficient conditions for stability analysis of linear time-delay systems

Author

Chellaboina, Vijaysekhar ; Haddad, Wassim M. ; Kamath, Anant

Author_Institution

Dept. of Mech., Aerosp. & Biomed. Eng., Tennessee Univ., Knoxville, TN

fYear

2006

fDate

14-16 June 2006

Abstract

In this paper, we study the problem of stability of linear time-delay systems. Specifically, using the notion of structured phase margin, which characterizes stability margins in terms of a nominal plant transfer function in the presence of unknown structured phase perturbations, we derive several new time-domain sufficient conditions for stability of linear time-delay systems. We provide both delay-independent as well as delay-dependent sufficient conditions for stability. It should be noted that all the sufficient conditions presented in this paper are in terms of linear matrix inequalities

Keywords

delays; linear matrix inequalities; linear systems; stability; time-domain synthesis; linear matrix inequalities; linear time-delay systems; stability analysis; structured phase perturbations; time-domain sufficient conditions; Delay effects; Delay systems; Force feedback; Power system modeling; Stability analysis; Stability criteria; Sufficient conditions; Time domain analysis; Transfer functions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0209-3

Type

conf

DOI

10.1109/ACC.2006.1656586

Filename

1656586