不确定供应链非线性系统的模糊鲁棒H_∞控制  

Fuzzy robust H_∞ control of uncertain supply chain nonlinear system

作　　者：张松涛[1] 侯嫣婷 赵晓伟[2] 

机构地区：[1]哈尔滨商业大学管理学院,黑龙江哈尔滨150028 [2]同济大学经济与管理学院,上海200092

出　　处：《计算机集成制造系统》2014年第10期2551-2562,共12页Computer Integrated Manufacturing Systems

基　　金：国家自然科学基金资助项目(71371061);黑龙江省教育厅科研资助项目(12541200);黑龙江省普通高等学校青年学术骨干支持计划资助项目(1253G028)~~

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。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-Sngeno 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 demonstra- ted through the simulation on a class of two-stage uncertain supply chain nonlinear system.

关 键 词：供应链 非线性系统 鲁棒控制 不确定性 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] O934[自动化与计算机技术—控制科学与工程]