Reaching Law Approach to the Sliding Mode Control of Periodic Review Inventory Systems

In this paper, a discrete-time sliding mode inventory management strategy based on a novel non-switching type reaching law is introduced. The proposed reaching law eliminates undesirable chattering, and ensures that the sliding variable rate of change is upper bounded by a design parameter which doe...

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Bibliographic Details
Published inIEEE transactions on automation science and engineering Vol. 11; no. 3; pp. 810 - 817
Main Authors Bartoszewicz, Andrzej, Lesniewski, Piotr
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2014
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Automation
Channels
Convergence
Customer satisfaction
Digital control
Discrete-time systems
IEEE standards
Initial conditions
Inventories
Inventory management
Law
Sliding mode control
Stockpiling
Transportation
Uncertainty
Vectors
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Summary:In this paper, a discrete-time sliding mode inventory management strategy based on a novel non-switching type reaching law is introduced. The proposed reaching law eliminates undesirable chattering, and ensures that the sliding variable rate of change is upper bounded by a design parameter which does not depend on the system initial conditions. This approach guarantees fast convergence with non-negative, upper limited supply orders, and ensures that the maximum stock level may be specified a priori by the system designer. Furthermore, a sufficient condition for 100% customers' demand satisfaction is derived. The inventory replenishment system considered in this paper involves multiple suppliers with different lead times and different transportation losses in the delivery channels.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1545-5955
1558-3783
DOI:10.1109/TASE.2014.2314690