DocumentCode :
1210878
Title :
New results on delay-dependent control of time-delay systems
Author :
Mahmoud, M.S. ; Ismail, A.
Author_Institution :
Canadian Int. Coll., New Cairo City, Egypt
Volume :
50
Issue :
1
fYear :
2005
Firstpage :
95
Lastpage :
100
Abstract :
This note presents new results pertaining to the delay-dependent stability and control design of a class of linear time-delay systems. A new state transformation is introduced to exhibit the delay-dependent dynamics. For stability, we construct an appropriate Lyapunov functional to derive delay-dependent linear matrix inequality-based sufficient condition. For the feedback control design, we establish schemes based on quadratic H/sub 2/ performance, H/sub /spl infin//, criteria and simultaneous H/sub 2//H/sub /spl infin// synthesis. Under the developed transformation, both the instantaneous and delayed feedback control yield identical results. Numerical examples are presented to illustrate the analytical development.
Keywords :
H/sup /spl infin// control; Lyapunov methods; control system synthesis; delay systems; delays; feedback; linear matrix inequalities; linear systems; stability; H/sub /spl infin// criteria; Lyapunov functional; delay-dependent control; delay-dependent stability; feedback control design; linear matrix inequality; linear time-delay systems; quadratic H/sub 2/ performance; Control design; Control system synthesis; Control systems; Delay lines; Feedback control; Linear matrix inequalities; Robust control; Stability; Sufficient conditions; Symmetric matrices; Delay-dependent stability; simultaneous; time-delay systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2004.841130
Filename :
1381653
Link To Document :
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