Dynamical Analysis and Sliding Mode Controller for the New 4D Chaotic Supply Chain Model Based on the Product Received by the Customer

Muhamad Deni Johansyah (), Sundarapandian Vaidyanathan, Aceng Sambas, Khaled Benkouider, Seyed Mohammad Hamidzadeh and Monika Hidayanti
Additional contact information
Muhamad Deni Johansyah: Department of Mathematic, Universitas Padjadjaran, Jatinangor, Sumedang 45363, Indonesia
Sundarapandian Vaidyanathan: Centre for Control System, Vel Tech University, Chennai 600062, Tamil Nadu, India
Aceng Sambas: Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Besut 22200, Terengganu, Malaysia
Khaled Benkouider: Department of Electronics, Faculty of Technology, Badji-Mokhtar University, B.P. 12, Sidi Ammar, Annaba 23000, Algeria
Seyed Mohammad Hamidzadeh: Department of Electrical Engineering, Khorasan Institute of Higher Education, Mashhad 91898, Iran
Monika Hidayanti: Department of Mathematic, Universitas Padjadjaran, Jatinangor, Sumedang 45363, Indonesia

Mathematics, 2024, vol. 12, issue 13, 1-21

Abstract: Supply chains comprise various interconnected components like suppliers, manufacturers, distributors, retailers, and customers, each with unique variables and interactions. Managing dynamic supply chains is highly challenging, particularly when considering various sources of risk factors. This paper extensively explores dynamical analysis and multistability analysis to understand nonlinear behaviors and pinpoint potential risks within supply chains. Different phase portraits are used to demonstrate the impact of various factors such as transportation risk, quality risk, distortion, contingency reserves, and safety stock on both customers and retailers. We introduced a sliding mode control method that computes the sliding surface and its derivative by considering the error and its derivative. The equivalent control law based on the sliding surface and its derivative is derived and validated for control purposes. Our results show that the controller SMC can significantly enhance supply chain stability and efficiency. This research provides a robust framework for understanding complex supply chain dynamics and offers practical solutions to enhance supply chain resilience and flexibility.

Keywords: supply chain management; chaotic system; multistability; sliding mode control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/13/1938/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/13/1938/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:13:p:1938-:d:1420172

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().