IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v182y2024ics0960077924003801.html
   My bibliography  Save this article

Adaptive continuous barrier function-based super-twisting global sliding mode stabilizer for chaotic supply chain systems

Author

Listed:
  • Sepestanaki, Mohammadreza Askari
  • Rezaee, Hamidreza
  • Soofi, Mohammad
  • Fayazi, Hossein
  • Rouhani, Seyed Hossein
  • Mobayen, Saleh

Abstract

Supply chains face various uncertainties due to the dynamic and unstable nature of today's worldwide market. Introducing these uncertainties to both the upstream and downstream elements of supply chains adds complexity and nonlinearity to them. This paper investigates the dynamic behavior of a chaotic three-echelon supply chain system and designs a finite-time global nonlinear super-twisting sliding mode controller based on an adaptive continuous barrier function technique for stabilizing the defined system under external disturbances and model uncertainties. This method dynamically adapts the controller parameters according to the system's current state using parameter adaptation algorithms. The adaptive barrier function is used to ensure the system's stability, while the super-twisting algorithm is used to speed up the convergence rate and robustness of the system. Moreover, the genetic optimization algorithm has been employed to attain the optimal values of parameters, thereby enhancing the performance of the designed controller. Ultimately, the effectiveness of this research's proposed approach has been evaluated through simulation in the MATLAB-Simulink environment and experimental testing using the Baseline Real-Time Speedgoat test platform. These analyses are paramount and helpful for strategic decision-makers because they allow visualization and control of the states/dynamics of the entire supply chain. The internal parameters of the supply chain are used as control parameters, and different significant states are discovered to achieve synchronization.

Suggested Citation

  • Sepestanaki, Mohammadreza Askari & Rezaee, Hamidreza & Soofi, Mohammad & Fayazi, Hossein & Rouhani, Seyed Hossein & Mobayen, Saleh, 2024. "Adaptive continuous barrier function-based super-twisting global sliding mode stabilizer for chaotic supply chain systems," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    • Handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924003801
    DOI: 10.1016/j.chaos.2024.114828
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924003801
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114828?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Li, Jun-Feng & Jahanshahi, Hadi & Kacar, Sezgin & Chu, Yu-Ming & Gómez-Aguilar, J.F. & Alotaibi, Naif D. & Alharbi, Khalid H., 2021. "On the variable-order fractional memristor oscillator: Data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. Zhang, Xuxi & Liu, Xianping & Zhu, Qidan, 2014. "Adaptive chatter free sliding mode control for a class of uncertain chaotic systems," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 431-435.
    3. Tang, Yongchuan & Dai, Guoxun & Zhou, Yonghao & Huang, Yubo & Zhou, Deyun, 2023. "Conflicting evidence fusion using a correlation coefficient-based approach in complex network," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    4. Hwarng, H. Brian & Xie, Na, 2008. "Understanding supply chain dynamics: A chaos perspective," European Journal of Operational Research, Elsevier, vol. 184(3), pages 1163-1178, February.
    5. Qing Ding & Oumate Alhadji Abba & Hadi Jahanshahi & Madini O. Alassafi & Wen-Hua Huang, 2022. "Dynamical Investigation, Electronic Circuit Realization and Emulation of a Fractional-Order Chaotic Three-Echelon Supply Chain System," Mathematics, MDPI, vol. 10(4), pages 1-15, February.
    6. Abbas Nemati & Saleh Mobayen & Seyed Hossein Rouhani & Chun-Lien Su, 2024. "Design of nonsingular second-order terminal sliding mode controller for cyber-physical systems with time-delays and cyber-attack on actuators," International Journal of Systems Science, Taylor & Francis Journals, vol. 55(5), pages 876-893, April.
    7. Jing Zheng & Qiongxin Zhang & Qi Xu & Fei Xu & Victor Shi & Lei Xie, 2022. "Synchronization of a Supply Chain Model with Four Chaotic Attractors," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-9, March.
    8. John D. Sterman, 1989. "Modeling Managerial Behavior: Misperceptions of Feedback in a Dynamic Decision Making Experiment," Management Science, INFORMS, vol. 35(3), pages 321-339, March.
    9. Tengfei Lei & Rita Yi Man Li & Nuttapong Jotikastira & Haiyan Fu & Cong Wang & Chun-Biao Li, 2023. "Prediction for the Inventory Management Chaotic Complexity System Based on the Deep Neural Network Algorithm," Complexity, Hindawi, vol. 2023, pages 1-11, May.
    10. Xiao Xu & Sang-Do Lee & Hwan-Seong Kim & Sam-Sang You, 2021. "Management and optimisation of chaotic supply chain system using adaptive sliding mode control algorithm," International Journal of Production Research, Taylor & Francis Journals, vol. 59(9), pages 2571-2587, May.
    11. Kozlenkova, Irina V. & Hult, G. Tomas M. & Lund, Donald J. & Mena, Jeannette A. & Kekec, Pinar, 2015. "The Role of Marketing Channels in Supply Chain Management," Journal of Retailing, Elsevier, vol. 91(4), pages 586-609.
    12. Frank Chen & Zvi Drezner & Jennifer K. Ryan & David Simchi-Levi, 2000. "Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times, and Information," Management Science, INFORMS, vol. 46(3), pages 436-443, March.
    13. Wang, Yong-Long & Jahanshahi, Hadi & Bekiros, Stelios & Bezzina, Frank & Chu, Yu-Ming & Aly, Ayman A., 2021. "Deep recurrent neural networks with finite-time terminal sliding mode control for a chaotic fractional-order financial system with market confidence," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    14. Xiong, Pei-Ying & Jahanshahi, Hadi & Alcaraz, Raúl & Chu, Yu-Ming & Gómez-Aguilar, J.F. & Alsaadi, Fawaz E., 2021. "Spectral Entropy Analysis and Synchronization of a Multi-Stable Fractional-Order Chaotic System using a Novel Neural Network-Based Chattering-Free Sliding Mode Technique," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alsaade, Fawaz W. & Yao, Qijia & Bekiros, Stelios & Al-zahrani, Mohammed S. & Alzahrani, Ali S. & Jahanshahi, Hadi, 2022. "Chaotic attitude synchronization and anti-synchronization of master-slave satellites using a robust fixed-time adaptive controller," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    2. Ouannas, Adel & Batiha, Iqbal M. & Bekiros, Stelios & Liu, Jinping & Jahanshahi, Hadi & Aly, Ayman A. & Alghtani, Abdulaziz H., 2021. "Synchronization of the glycolysis reaction-diffusion model via linear control law," LSE Research Online Documents on Economics 112776, London School of Economics and Political Science, LSE Library.
    3. Liu, Chongyang & Zhou, Tuo & Gong, Zhaohua & Yi, Xiaopeng & Teo, Kok Lay & Wang, Song, 2023. "Robust optimal control of nonlinear fractional systems," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    4. T. Saikouk & I. Zouaghi & A. Spalanzani, 2011. "Mitigating Supply Chain System Entropy by the Implementation of RFID," Post-Print halshs-00665653, HAL.
    5. Qijia Yao & Hadi Jahanshahi & Stelios Bekiros & Sanda Florentina Mihalache & Naif D. Alotaibi, 2022. "Indirect Neural-Enhanced Integral Sliding Mode Control for Finite-Time Fault-Tolerant Attitude Tracking of Spacecraft," Mathematics, MDPI, vol. 10(14), pages 1-18, July.
    6. Hajid Alsubaie & Amin Yousefpour & Ahmed Alotaibi & Naif D. Alotaibi & Hadi Jahanshahi, 2023. "Stabilization of Nonlinear Vibration of a Fractional-Order Arch MEMS Resonator Using a New Disturbance-Observer-Based Finite-Time Sliding Mode Control," Mathematics, MDPI, vol. 11(4), pages 1-14, February.
    7. Wang, Xun & Disney, Stephen M. & Wang, Jing, 2014. "Exploring the oscillatory dynamics of a forbidden returns inventory system," International Journal of Production Economics, Elsevier, vol. 147(PA), pages 3-12.
    8. Wang, Xun & Disney, Stephen M., 2016. "The bullwhip effect: Progress, trends and directions," European Journal of Operational Research, Elsevier, vol. 250(3), pages 691-701.
    9. Hwarng, H. Brian & Yuan, Xuchuan, 2014. "Interpreting supply chain dynamics: A quasi-chaos perspective," European Journal of Operational Research, Elsevier, vol. 233(3), pages 566-579.
    10. Bekiros, Stelios & Yao, Qijia & Mou, Jun & Alkhateeb, Abdulhameed F. & Jahanshahi, Hadi, 2023. "Adaptive fixed-time robust control for function projective synchronization of hyperchaotic economic systems with external perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    11. Ma, Yungao & Wang, Nengmin & He, Zhengwen & Lu, Jizhou & Liang, Huigang, 2015. "Analysis of the bullwhip effect in two parallel supply chains with interacting price-sensitive demands," European Journal of Operational Research, Elsevier, vol. 243(3), pages 815-825.
    12. Jaksic, Marko & Rusjan, Borut, 2008. "The effect of replenishment policies on the bullwhip effect: A transfer function approach," European Journal of Operational Research, Elsevier, vol. 184(3), pages 946-961, February.
    13. Zhou, Li & Naim, Mohamed M. & Disney, Stephen M., 2017. "The impact of product returns and remanufacturing uncertainties on the dynamic performance of a multi-echelon closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 487-502.
    14. Manuel Brauch & Andreas Größler, 2022. "Holistic versus analytic thinking orientation and its relationship to the bullwhip effect," System Dynamics Review, System Dynamics Society, vol. 38(2), pages 121-134, April.
    15. Robert L. Bray & Haim Mendelson, 2012. "Information Transmission and the Bullwhip Effect: An Empirical Investigation," Management Science, INFORMS, vol. 58(5), pages 860-875, May.
    16. Hau L. Lee & V. Padmanabhan & Seungjin Whang, 2004. "Comments on "Information Distortion in a Supply Chain: The Bullwhip Effect"," Management Science, INFORMS, vol. 50(12_supple), pages 1887-1893, December.
    17. QU, Zhan & RAFF, Horst, 2023. "Two-part tariffs, inventory stockpiling, and the bullwhip effect," European Journal of Operational Research, Elsevier, vol. 308(1), pages 201-214.
    18. Anantaram Balakrishnan & Joseph Geunes & Michael S. Pangburn, 2004. "Coordinating Supply Chains by Controlling Upstream Variability Propagation," Manufacturing & Service Operations Management, INFORMS, vol. 6(2), pages 163-183, July.
    19. A A Syntetos & J E Boylan & S M Disney, 2009. "Forecasting for inventory planning: a 50-year review," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 149-160, May.
    20. Tangsucheeva, Rattachut & Prabhu, Vittaldas, 2013. "Modeling and analysis of cash-flow bullwhip in supply chain," International Journal of Production Economics, Elsevier, vol. 145(1), pages 431-447.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924003801. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.