基于单步预测输出差值抑制超调的改进预测控制算法  

An improved predictive control algorithm based on single-step predictive output difference for restraining overshoot

作　　者：戴文战[1] 田仕军[1] 杨爱萍[2] 

机构地区：[1]浙江理工大学自动化研究所,杭州310018 [2]浙江财经学院,杭州310018

出　　处：《东南大学学报（自然科学版）》2011年第B09期1-4,共4页Journal of Southeast University：Natural Science Edition

基　　金：国家高技术研究发展计划(863计划)资助项目(2009AA04Z139);教育部高等学校博士学科点专项基金资助项目(20070338002);浙江省自然科学基金资助项目(Y607556)

摘　　要：为抑制传统预测控制算法中产生的超调量同时减小计算规模,提出了一种基于单步预测输出差值抑制超调的改进广义预测控制算法.通过在性能指标函数中引入单步预测输出差值项K[y(k+d+2/k)-y(k+d+1/k)]2有效抑制了2次预测输出之间的剧烈波动,从而有效抑制了超调量的产生,同时计算量的增加很小.算法中同时考虑了系统的时滞特性对控制过程的影响,即单步预测输出差值项施加在当前的输入控制量Δu(k)开始在预测输出中起作用之后.通过柔化系统输入Δu(k+j)有效避免了矩阵求逆运算,因此算法的计算量进一步减小.仿真实验证明该算法不仅可以有效抑制超调的产生而且可以加快算法的跟踪速度.In order to restrain the overshoot and reduce the calculation work in the application of the traditional predictive control algorithm, an improved generalized predictive control algorithm based on single-step predictive output difference is proposed. By introducing the single-step predictive out- put difference K[ y（ k ＋ d ＋ 2/k ） - y（ k ＋ d ＋ l/k） j 2 into the cost function, the drastic fluctuation of adjacent predictive output is effectively restrained, so the overshoot is restrained and the increase of the calculation work is very little. The new algorithm also considers the long delay in the control process, so the single-step predictive output difference is added after the current input Au（k） starts to work in the predictive output. By softening the system input Au（ k ＋j）, the calculation of inverse matrix is avoided and the calculation work is further reduced. Simulation results show that the improved algorithm can restrain the overshoot and accelerate the tracing speed.

关 键 词：广义预测控制 抑制超调量 柔化输入 单步预测输出差值 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]