Delay-dependent robust stabilization of uncertain systems with multiple state delays

This paper deals with the problem of robust stabilization for uncertain systems with multiple state delays. The parameter uncertainties are time-varying and unknown but are norm-bounded, and the delays are time-varying. A new method for achieving robust stabilization is presented for a class of unce...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1998-11, Vol.43 (11), p.1608-1612
Main Authors: CAO, Y.-Y, SUN, Y.-X, CHUWANG CHENG
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control systems
Control theory. Systems
Delay
Exact sciences and technology
Linear feedback control systems
Linear matrix inequalities
Riccati equations
Robust control
Robustness
State feedback
Uncertain systems
Uncertainty
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Summary:This paper deals with the problem of robust stabilization for uncertain systems with multiple state delays. The parameter uncertainties are time-varying and unknown but are norm-bounded, and the delays are time-varying. A new method for achieving robust stabilization is presented for a class of uncertain time-delay systems via linear memoryless state feedback control. The results depend on the size of the delays and are given in terms of several linear matrix inequalities.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.728880