单输入单输出系统分数阶预测函数控制  

Fractional Order Predictive Function Control for SISO System

作　　者：邵克勇[1] 杨明昊 王炳淇 黄志贤 王洪涛 SHAO Ke-yong;YANG Ming-hao;WANG Bing-qi;HUANG Zhi-xian;WANG Hong-tao(School of Electrical and Information Engineering,Northeast Petroleum University)

机构地区：[1]东北石油大学电气信息工程学院

出　　处：《化工自动化及仪表》2024年第4期577-581,共5页Control and Instruments in Chemical Industry

基　　金：黑龙江省省属高校基本科研业务费(批准号:2022TSTD-04)资助的课题。

摘　　要：基于分数阶微积分理论和预测函数控制理论,针对一类单输入单输出分数阶线性系统提出了一种分数阶预测函数控制方法。用Oustaloup近似法对分数阶系统近似的整数阶系统建立预测输出模型,并根据GL定义在代价函数中引入分数阶算子。该控制方法通过将控制输入结构化简化了控制器设计,引入分数阶算子增加了控制器的自由度。仿真结果表明:与传统预测控制器相比,分数阶预测函数控制器具有调节时间短、抗干扰能力强及鲁棒性强等优点,在模型失配的情况下也有较好的跟踪效果。Based on the theory of fractional calculus and predictive functional control,a fractional-order predictive function control method for the single-input single-output(SISO)fractional-order linear systems was proposed.In which,having the Oustaloup approximation method adopted to approximate the fractional-order system as an integer-order system so as to establish a predictive output model,and having GL definition employed to introduce a fractional-order operator into the cost function.This control method simplified the controller design through structuring the control input,and introduced the fractional operator to increase the degree of the controller freedom.The simulation results show that,compared with the traditional predictive controller,the fractional-order predictive function controller has advantages of shorter adjustment time,strong anti-interference ability and robustness,and has a better tracking effect in the case of model mismatch.

关 键 词：Oustaloup近似 单输入单输出 分数阶预测函数控制 模型失配 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]