Abstract: To solve the problem of the high operational fluctuation for the supply chain nonlinear system caused by uncertain system parameters and uncertain exogenous demand,a robust control approach was researched.Based on the discrete Takagi-Sugeno fuzzy system,a fuzzy model for the uncertain supply chain nonlinear system was developed.By constructing a discrete piecewise Lyapunov function in every maximal overlapped-rules group,a new fuzzy robust H∞ control approach was proposed in terms of the parallel distributed compensation technology.This control approach could not only reduce the number of solving the linear matrix inequalities largely,but also guarantee the robust stability of uncertain supply chain nonlinear system.The effectiveness of proposed approach was demonstrated through the simulation on a class of two-stage uncertain supply chain nonlinear system.

Key words: supply chains, nonlinear system, robust control, uncertainty

摘要： 为解决系统不确定参数和外部不确定需求引起的供应链非线性系统运作波动较大的问题,研究了一种鲁棒控制方法。基于离散Takagi-Sugeno模糊系统,建立了一类不确定供应链非线性系统的模糊模型。通过在每个最大交叠规则组中构建一种离散型分段Lyapunov函数,并应用并行分布补偿原理,提出一种新的模糊鲁棒H∞控制方法,该控制方法可在减少求解线性矩阵不等式个数的同时,保证不确定供应链非线性系统的鲁棒稳定。结合某二级不确定供应链非线性系统的实例进行仿真实验,实验结果验证了所提方法的有效性。

关键词: 供应链, 非线性系统, 鲁棒控制, 不确定性