带扰动时变系统显式模型预测控制算法  

Explicit Model Predictive Control for Systems with Varying and Distribution

作　　者：刘景 刘飞 

机构地区：[1]江南大学轻工过程先进控制教育部重点实验室,江苏无锡214122

出　　处：《江南大学学报（自然科学版）》2012年第1期23-26,共4页Joural of Jiangnan University (Natural Science Edition)　

基　　金：国家自然科学基金项目(60974001);教育部博士点新教师基金项目(200802951038)

摘　　要：针对模型预测控制滚动优化计算量大,很难用于对实时性要求比较高的工业生产过程,提出了带约束和扰动的时变系统显式模型预测控制算法。该方法利用离线与在线结合,离线时对带约束和扰动的时变系统的可行域进行区域划分,并得到每个区域对应的代价函数与控制率的显式函数关系式,在线时通过查表确定当前时刻状态所在区域即可得到相应的控制率,大大减少了在线计算量,提高了实时性。对算法进行仿真实验,证明了算法的可行性与稳定性。To aim at the problem of large amount of computation of rolling optimization and the difficulty to apply to high real-time industrial processes,a time-varying system with constraints and disturbances explicit model predictive control algorithm is proposed.The novelty of this method is the combination of offline form and online form.When offline,the state space of time-varying system with constraints and disturbances is divided and the explicit function of corresponding cost function and control rate.When online,the current state region is fixed and the corresponding control rate is obtained by looking up the table.Consequently,online computation is reduced and the real-time property is improved.A meaningful example is simulated to illustrate the effectiveness and stability of the proposed method.

关 键 词：显式模型预测控制 多面体 时变系统 多参数线性规划 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]