Title :
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
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;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1656586
