多项式逼近建模的非线性系统预测控制  

Predictive control of nonlinear system based on topological homeomorphism

作　　者：罗秋滨[1] 岳中哲[2] 关立雁[3] 冯汝鹏[1] 

机构地区：[1]哈尔滨工业大学控制科学与工程系 [2]哈尔滨理工大学自动化学院,黑龙江哈尔滨150080 [3]哈尔滨学院教育科学学院,黑龙江哈尔滨150080

出　　处：《电机与控制学报》2008年第1期84-88,共5页Electric Machines and Control

基　　金：黑龙江省教育厅科技项目(10543073)

摘　　要：针对可以获得有界输入输出数据的非线性系统,提出了一种多项式逼近建模的预测控制算法。将有界输入输出数据的取值域通过拓扑同胚变换到[0,1]范围内,用多项式逼近方法建立非线性系统的多个不同预测步长的预测模型,最小化目标函数求得预测控制律,并通过误差修正去除有可能存在的模型失配对系统的影响,得到了一种非线性系统的预测控制算法。算法中的预测模型直接由多项式逼近建模得到,不必求解D iophantine方程,从而减少了预测控制律的计算量。仿真结果说明算法的正确性和有效性。For a nonlinear system, a predictive control method of nonlinear system is presented. The input-output data were firstly changed into [0,1 ] by using topological homeomorphism, then a series of predictive models were obtained by polynomial approach for nonlinear modeling. Control law was obtained by optmizing objective function and was modified by control error. It did not require calculating the Diophantine equation so that it only needed smaller computer memory. Simulation result shows the correctness and effectiveness of the method.

关 键 词：非线性系统 拓扑同胚变换 多项式逼近建模 预测控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]