New results on delay-dependent control of time-delay systems

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-depe...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2005-01, Vol.50 (1), p.95-100
Main Authors: Mahmoud, M.S., Ismail, A.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control design
Control system synthesis
Control systems
Control theory. Systems
Delay lines
Delay-dependent stability
Exact sciences and technology
Feedback control
Linear matrix inequalities
Robust control
simultaneous
Stability
Sufficient conditions
Symmetric matrices
time-delay systems
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2004.841130