In this paper, we investigate the stabilization problem of time-delay discrete-time systems with occurrence probabilities for time delays. Using an augmenting technique, we convert random time-delay discrete-time systems to delay-free systems with stochastic variables. We propose to design a sequence of delay-dependent controllers. The implemented controller is chosen according to the measured time delay at each sampling instant. When the delay is randomly time-varying, the implemented controller is switched in a designed controller set. An example is provided to illustrate the effectiveness of the stability condition and another example is offered to show the applicability of the proposed design algorithm.
Delay-Dependent Stabilization of Discrete-Time Systems With Time-Varying Delay via Switching Technique
Zhang, H., and Shi, Y. (May 7, 2012). "Delay-Dependent Stabilization of Discrete-Time Systems With Time-Varying Delay via Switching Technique." ASME. J. Dyn. Sys., Meas., Control. July 2012; 134(4): 044503. https://doi.org/10.1115/1.4006218
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