摘要:AbstractStochastic communication delays are present in networked control systems and have a significant influence over its closed-loop performance and stability. These delays are time-variant and have infinite variance, indicating fractional-order behavior that can be modeled using α-stable distribution. This paper presents a quantitative analysis of the effects of fractional-order α-stable distribution random communication delays in a networked control system for a temperature control application. The networked closed-loop system assessment is performed using four different controllers. Two integer order PI controllers tuned using classic tuning methods, and two fractional-order PI controllers tuned using standard tuning rules for fractional-order system. One hundred numerical simulation experiments are performed, modeling the random communication delays between the plant and controller using an α-Stable distribution with different α values. Obtained results show that fractional-order controllers can deal better with time-variant fractional-order random communication delays that follows an α-Stable distribution compared with the integer-order controllers.
关键词:KeywordsNetworked Control SystemsFractional-Order delay dynamicsα-Stable distribution