Title :
Robust stability analysis of linear systems with time-varying delay and nonlinear perturbations
Author :
Han, Qing-Long ; Yu, Li ; Yu, Xinghiio ; Yue, Dong ; Ma, Xin
Author_Institution :
Fac. of Informatics & Commun., Central Queensland Univ., Rockhampton, Qld., Australia
Abstract :
The robust stability of uncertain linear systems with a single time-varying delay is investigated by employing a descriptor model transformation and a decomposition technique of the delay term matrix. The uncertainties under consideration are nonlinear perturbations and norm bounded uncertainties, respectively. The proposed stability criteria are formulated in the form of a linear matrix inequality. Numerical examples are presented to indicate significant improvements over some existing results.
Keywords :
delays; linear matrix inequalities; linear systems; nonlinear control systems; perturbation techniques; stability; time-varying systems; uncertain systems; decomposition technique; delay term matrix; descriptor model transformation; linear matrix inequality; nonlinear perturbations; robust stability analysis; time-varying delay; uncertain linear system; Delay systems; Discrete transforms; Linear matrix inequalities; Linear systems; Matrix decomposition; Robust stability; Stability criteria; Symmetric matrices; Time varying systems; Uncertainty;
Conference_Titel :
Control Conference, 2004. 5th Asian
Conference_Location :
Melbourne, Victoria, Australia
Print_ISBN :
0-7803-8873-9
