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

Wu-Hua Chen ^[1] ; Jiacheng Zhong ^[1] ; Wei Xing Zheng ^[2]
1. [1] Guangxi University
  
  Guangxi University
  
  China
2. [2] University of Western Sydney
  
  University of Western Sydney
  
  Australia
Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 71, 2016, págs. 89-97
Idioma: inglés
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Resumen
- 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.