Delay-range-dependent control synthesis for time-delay systems with actuator saturation

The control synthesis problem for a class of linear time-delay systems with actuator saturation is investigated in this paper. The time delay is considered to be time-varying and has lower and upper bounds. A delay-range-dependent approach is adopted and the corresponding existence conditions of the...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 44; no. 10; pp. 2691 - 2695
Main Authors Zhang, Lixian, Boukas, El-Kébir, Haidar, Ahmad
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.10.2008
Elsevier
Subjects
Applied sciences
Computer science; control theory; systems
Control system analysis
Control system synthesis
Control theory. Systems
Delay-range-dependent
Domain of attraction
Exact sciences and technology
Linear matrix inequalities
Stabilization
System theory
Domain of attraction
Linear matrix inequalities
Stabilization
Delay-range-dependent
Lower bound
State feedback
Saturation
Delay control
Feedback regulation
Control synthesis
Delay system
Delay dependent system
Attractor
Time varying system
Upper bound
Linear matrix inequality
Delay time
Actuator
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Summary:The control synthesis problem for a class of linear time-delay systems with actuator saturation is investigated in this paper. The time delay is considered to be time-varying and has lower and upper bounds. A delay-range-dependent approach is adopted and the corresponding existence conditions of the stabilizing state-feedback controller are derived in terms of LMIs. An estimate for the domain of attraction of the origin can be obtained for the underlying systems with different time-delay ranges. Two numerical examples are presented to show the effectiveness and less conservatism of the developed theoretical results.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2008.03.009