Capital Equilibrium Switching Control for Discrete Supply Chain Systems

Due to the passage of time and uncertain demand changes, the two-level supply chain finance system transforms into a dynamic and uncertain multimodel discrete system. The continuous fluctuations in the capital levels of node companies significantly impact both the business activities of these companies and the stability of the system. Effective capital equilibrium switching control can adjust the system’s steady state. Consequently, this article introduces a strategy for dynamic capital equilibrium based on a fundamental model of the system’s capital. Additionally, a capital equilibrium switching strategy, composed of a robust control strategy and a capital equilibrium strategy, is designed based on the Takagi-Sugeno model to achieve stability. Furthermore, multiple sets of simulation tests not only validate the effectiveness of the capital equilibrium switching strategy under different external demand distributions but also confirm the scientificity and reliability of the method proposed. Finally, this article analyzes the impact of internal capital scheduling on both the capital equilibrium and the overall system.