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- W2608070462 abstract "Production-inventory systems are complex due to their multitime-scale, switching, and random fluctuation nature. How to reduce its bullwhip effects has been a main challenge and can be recast as an $H_{infty }$ control problem. Hence, we model a transfer production line consisting of two facilities with different running time scales as a switched time-varying delay system. We introduce a Markovian chain to orchestrate the switching among the activation of different subsystems that is triggered by fluctuations of customers’ demand. We therefore study the $H_{infty }$ control of two-time-scale production-inventory systems with Markovian jumping parameters and time-varying delays. To handle the different sampling rates of two types of facilities, lifting technique is introduced to eliminate the drastic ripples for the facility with fast-rate sampling. Based on the Lyapunov-Krasovskii theory, sufficient conditions are given such that the two-time-scale production-inventory system is exponentially stabilizable with an efficient attenuation of the bullwhip effects. A potassium carbonate production-inventory system is used to illustrate the effectiveness of the proposed methods." @default.
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- W2608070462 date "2018-05-01" @default.
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- W2608070462 title "<inline-formula> <tex-math notation=LaTeX>$H_{infty }$ </tex-math> </inline-formula> Control of Two-Time-Scale Markovian Switching Production-Inventory Systems" @default.
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- W2608070462 doi "https://doi.org/10.1109/tcst.2017.2692748" @default.
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