Delay-independent stabilization of a class of time-delay systems via periodically intermittent control

• Published in: Automatica (Oxford) Vol. 71; pp. 89 - 97
• Main Authors: Chen, Wu-Hua, Zhong, Jiacheng, Zheng, Wei Xing
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.09.2016
• Subjects: Delay-independent stabilization; Periodically intermittent control; Time-delay systems; Time-delay systems; Periodically intermittent control; Delay-independent stabilization
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/j.automatica.2016.04.031

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.