Fuzzy Control Model and Simulation for Nonlinear Supply Chain System with Lead Times

Min Zhang,Siqi Zhang,Songtao Zhang,Yanting Hou

doi:10.1155/2017/2017634

Min Zhang, Siqi Zhang + Show 2 more

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https://doi.org/10.1155/2017/2017634

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Abstract

A new fuzzy robust control strategy for the nonlinear supply chain system in the presence of lead times is proposed. Based on Takagi-Sugeno fuzzy control system, the fuzzy control model of the nonlinear supply chain system with lead times is constructed. Additionally, we design a fuzzy robust H∞ control strategy taking the definition of maximal overlapped-rules group into consideration to restrain the impacts such as those caused by lead times, switching actions among submodels, and customers’ stochastic demands. This control strategy can not only guarantee that the nonlinear supply chain system is robustly asymptotically stable but also realize soft switching among subsystems of the nonlinear supply chain to make the less fluctuation of the system variables by introducing the membership function of fuzzy system. The comparisons between the proposed fuzzy robust H∞ control strategy and the robust H∞ control strategy are finally illustrated through numerical simulations on a two-stage nonlinear supply chain with lead times.

Highlights

Over the recent years, a large number of companies realize the value-added importance of supply chain (SC) system and have cooperated as a part of it [1]
For a given scalar γ > 0, if there exist local common positive definite matrices Pc and Qec in Gc such that the following linear matrix inequalities (LMIs) (11) and (12) are satisfied, the supply chain fuzzy system (6) with lead times and standard fuzzy partition (SFP) inputs is robustly asymptotically stable and the H∞ norm is less than a given bound γ:
To restrain the disturbances of lead times, switching actions among subsystems, and customers’ stochastic demands, a new fuzzy robust H∞ control strategy has been proposed by utilizing the definition of maximal overlapped-rules group (MORG)

Summary

Introduction

A large number of companies realize the value-added importance of supply chain (SC) system and have cooperated as a part of it [1]. It is worth noting that the SC system is dynamic in the operational process due to the influences of the uncertain customers’ demands and lead times In this perspective, this leads to multiple possible strategies in manufacturing, delivering, and ordering products measured by the relation between upstream company’s inventory level and downstream company’s demand state. We will propose a fuzzy robust H∞ control strategy to restrain the impacts of lead times, switching actions among subsystems, and customers’ stochastic demands on the nonlinear dynamic SC system.

Model Construction and Preliminaries

Simulation Research

Conclusion