Title :
Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach
Author :
Li, Xi ; de Souza, Carlos E.
Author_Institution :
Dept. of Electr. & Comput. Eng., Newcastle Univ., NSW, Australia
fDate :
8/1/1997 12:00:00 AM
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 :
control system synthesis; delay systems; linear systems; matrix algebra; robust control; state feedback; state-space methods; uncertain systems; linear matrix inequality; linear systems; robust stability; stabilization; state feedback; state-space model; time-delay systems; uncertain systems; Control systems; Delay systems; Linear matrix inequalities; Linear systems; Riccati equations; Robust control; Robust stability; Robustness; Symmetric matrices; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on