Title :
LMI approach to delay-dependent robust stability and stabilization of uncertain linear delay systems
Author :
Li, Xi ; de Souza, Carlos E.
Author_Institution :
Dept. of Electr. & Comput. Eng., Newcastle Univ., NSW, Australia
Abstract :
This paper considers the problems of robust stability analysis and robust control design for a class of uncertain linear systems with a constant time-delay. The uncertainty is assumed to be norm-bounded and appears in all the matrices of the state space model. We develop methods for robust stability analysis and robust stabilization. The proposed methods are dependent on the size of the delay and are given in terms of linear matrix inequalities
Keywords :
asymptotic stability; delay systems; linear systems; matrix algebra; memoryless systems; robust control; state feedback; state-space methods; uncertain systems; linear matrix inequalities; memoryless systems; robust stability; stabilization; state feedback; state space model; time-delay; uncertain linear delay systems; Control systems; Delay lines; Delay systems; Linear matrix inequalities; Linear systems; Riccati equations; Robust control; Robust stability; Symmetric matrices; Uncertainty;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479148