Journal
AUTOMATICA
Volume 71, Issue -, Pages 89-97Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2016.04.031
Keywords
Periodically intermittent control; Time-delay systems; Delay-independent stabilization
Funding
- National Natural Science Foundation of China [61573111]
- Guangxi Natural Science Foundation [2013GXNSFDA019003, 2015GXNSFAA139003]
- Australian Research Council [DP120104986]
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The problem of delay-independently periodically intermittent stabilization for a class of time-delay systems is examined. First, the stability of the considered periodically intermittently controlled time-delay systems is analyzed by using the piecewise switching-time-dependent Lyapunov function/functional. The introduced Lyapunov function/functional is nonincreasing at switching instants, which can guarantee the exponential stability of the considered systems irrespective of the sizes of the state delays. Next, based on the newly established stability criteria, sufficient conditions for the existence of delay-independently periodically intermittent state-feedback controllers are derived. Finally, two illustrative examples are presented to show the validity of the obtained results. (C) 2016 Elsevier Ltd. All rights reserved.
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