Synchronization of Chaotic Supply Chain usingSingle PI Sliding Mode Strategy under BullwhipEffect in Retailer

This paper will analysis the issue of supply chaincontrol. It has been proven that the supply chain can have complexand even chaotic dynamic behavior. Synchronization two chaoticsupply chains with difference initial conditions is the main topic ofthis article. We establish new results for the single PI(Proportional - Integral) sliding controller or decision variable forthe global synchronization two chaotic supply chain. Based onLyapunov stability theory, it is proved that the synchronizationerror will move to zero in a finite time. The first part of thenumerical simulation results shows that the proposed methodperformance well. According to the behavior of the control signal,it can be seen that this signal has low oscillations. So, will be low inthe real-world cost of implementation. In the other part of thesimulation, will be added the bullwhip effect in the supply chainequations. Finally, numerical simulations are given to verify theeffectiveness of these strategies. The proposed methods havecertain significances for reducing the cost and complexity forcontroller implementation.

کلیدواژه ها:

supply chain management ، chaos synchronization ، ، sliding mode ، bullwhip Effect ، Lyapunov ،