Model Reference Based Sliding Mode Control for an Inventory System With a Novel Demand Profile
This paper presents a new approach to the inventory management problem. The work considers control design for a single product warehouse with multiple suppliers with different delivery times. The demand is divided into two parts: the a priori known time-variant contractual demand and the unknown but...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2023-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10227256/ |
| _version_ | 1797692228538204160 |
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| author | Katarzyna Adamiak Tymoteusz Zwierzchowski |
| author_facet | Katarzyna Adamiak Tymoteusz Zwierzchowski |
| author_sort | Katarzyna Adamiak |
| collection | DOAJ |
| description | This paper presents a new approach to the inventory management problem. The work considers control design for a single product warehouse with multiple suppliers with different delivery times. The demand is divided into two parts: the a priori known time-variant contractual demand and the unknown but bounded random demand. The controller’s task is to generate an order sequence, such that the stock always satisfies the contractual demand and some spare products for the random buyers are stored. Therefore, we design a reference system with one supplier and one lead time only. To such a reference model we apply a sliding mode controller, which generates the appropriate order values to satisfy the contractual demand at each time instant. The model is designed so that at each time instant the warehouse receives the exact amount of goods to match the demand, consequently minimizing the required warehouse capacity. As a result, the warehouse is emptied by the end of each day. Next, we treat these values as a reference trajectory for the multiple supplier system and design a trajectory following control law. The paper proves that with appropriate compensation of the random sales, such a control strategy ensures satisfaction of the contractual demand at all time instants. |
| first_indexed | 2024-03-12T02:24:35Z |
| format | Article |
| id | doaj.art-ed5d9cae71a44381ba6d7442fe2189c8 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-03-12T02:24:35Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-ed5d9cae71a44381ba6d7442fe2189c82023-09-05T23:00:56ZengIEEEIEEE Access2169-35362023-01-0111909669097910.1109/ACCESS.2023.330804410227256Model Reference Based Sliding Mode Control for an Inventory System With a Novel Demand ProfileKatarzyna Adamiak0https://orcid.org/0000-0002-6499-1793Tymoteusz Zwierzchowski1https://orcid.org/0000-0001-9578-727XInstitute of Automatic Control, Łódź University of Technology, Łódź, PolandInstitute of Automatic Control, Łódź University of Technology, Łódź, PolandThis paper presents a new approach to the inventory management problem. The work considers control design for a single product warehouse with multiple suppliers with different delivery times. The demand is divided into two parts: the a priori known time-variant contractual demand and the unknown but bounded random demand. The controller’s task is to generate an order sequence, such that the stock always satisfies the contractual demand and some spare products for the random buyers are stored. Therefore, we design a reference system with one supplier and one lead time only. To such a reference model we apply a sliding mode controller, which generates the appropriate order values to satisfy the contractual demand at each time instant. The model is designed so that at each time instant the warehouse receives the exact amount of goods to match the demand, consequently minimizing the required warehouse capacity. As a result, the warehouse is emptied by the end of each day. Next, we treat these values as a reference trajectory for the multiple supplier system and design a trajectory following control law. The paper proves that with appropriate compensation of the random sales, such a control strategy ensures satisfaction of the contractual demand at all time instants.https://ieeexplore.ieee.org/document/10227256/Control designdiscrete-time systemsinventory controlmodel reference controlsliding mode control |
| spellingShingle | Katarzyna Adamiak Tymoteusz Zwierzchowski Model Reference Based Sliding Mode Control for an Inventory System With a Novel Demand Profile IEEE Access Control design discrete-time systems inventory control model reference control sliding mode control |
| title | Model Reference Based Sliding Mode Control for an Inventory System With a Novel Demand Profile |
| title_full | Model Reference Based Sliding Mode Control for an Inventory System With a Novel Demand Profile |
| title_fullStr | Model Reference Based Sliding Mode Control for an Inventory System With a Novel Demand Profile |
| title_full_unstemmed | Model Reference Based Sliding Mode Control for an Inventory System With a Novel Demand Profile |
| title_short | Model Reference Based Sliding Mode Control for an Inventory System With a Novel Demand Profile |
| title_sort | model reference based sliding mode control for an inventory system with a novel demand profile |
| topic | Control design discrete-time systems inventory control model reference control sliding mode control |
| url | https://ieeexplore.ieee.org/document/10227256/ |
| work_keys_str_mv | AT katarzynaadamiak modelreferencebasedslidingmodecontrolforaninventorysystemwithanoveldemandprofile AT tymoteuszzwierzchowski modelreferencebasedslidingmodecontrolforaninventorysystemwithanoveldemandprofile |