Zero sum differential game processing method for supply chain system based on backstepping design method

Abstract

The invention relates to a zero-sum differential game processing method for a supply chain system based on a backstepping design method, and the method comprises the following specific steps: S1, carrying out the modeling of a nonlinear switching supply chain system with uncertain customer demands as a two-party zero-sum differential game problem, and inhibiting a bullwhip effect through a game theory method; S2, converting a tracking problem of a strict feedback system into an equivalent differential countermeasure problem of an affine system by utilizing a feedforward controller; S3, then, researching a zero sum differential game strategy by using an adaptive dynamic programming technology, and proving the convergence of a differential game based on backstepping and the stability of a closed-loop system by using a Lyapunov method; and S4, finally, verifying the effectiveness of the method through a simulation result. The method is suitable for the situation that the model of the supply chain system is not completely known in real life AND is applied to the nonlinear supply chain system without knowing the state function in advance, and has more practical significance.

Description

technical field [0001] The present invention relates to the technical field of supply chain systems, and more specifically relates to a zero-sum differential game processing method for supply chain systems based on a back-calculation design method. Background technique [0002] An important issue in supply chain management is to weaken the bullwhip effect. The bullwhip effect refers to the amplification of demand variability during the transmission of demand information from the downstream to the upstream layer. In the past few decades, people have paid a lot of effort To deal with this adverse effect, compared with the robust H∞ control, the game theory method studies the optimal solution of each control behavior when there are continuous conflicts, competition or coordination between two or more controls, which causes the control The attention of domain experts provides an alternative method to suppress the bullwhip effect and obtain an equilibrium solution of production c...

AI Technical Summary

Problems solved by technology

[0003] For a complex dynamic supply chain system, nonlinearity is ubiquitous in its physical process, and is often ignored by people or depends on the slowly changing environment, therefore, the dynamic supply chain system is modeled as cascading nonlinearity The system can naturally obtain the nonlinear characteristics of the system. It is well known that structured recursive design methods (such as inversion) are a powerful design tool for adapting to uncertain nonlinearities. Unnecessary cancellations can be avoided by this method, however , the current research results on dynamic supply chain systems often ignore some nonlinear factors, and only after linearizing them can an ideal model be established. It is difficult to describe the system, and it is necessary to use structural methods such as inversion to study nonlinear supply chain systems. However, for complex dynamic supply chain systems with uncertain customer demand, especially game methods are used to suppress the bullwhip effect , it is difficult and challenging to adopt the back-calculation method. Therefore, we propose a zero-sum differential game processing method for the supply chain system based on the back-calculation design method

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