多速率单值广义预测控制系统及稳定性分析  

Multi-Rate Single Generalized Predictive Control System and Stability Analysis

作　　者：邹媛媛[1] 刘晓华[1] 

机构地区：[1]烟台师范学院数学与信息学院,山东烟台264025

出　　处：《青岛大学学报（工程技术版）》2005年第4期40-43,共4页Journal of Qingdao University(Engineering & Technology Edition)

基　　金：山东省自然科学基金资助项目(L2004G01)

摘　　要：针对一类输入输出采用不同频率的多速率采样系统进行研究,提出了基于状态空间模型下的单值广义预测控制(MSGPC)算法,分析了系统的闭环稳定性问题,并给出了多速率预测控制系统稳定的充要条件,得到了闭环系统的稳定性可以通过适当调节预报时域长度来实现的结论。仿真结果显示,系统的输出能很快地跟踪设定曲线达到当前设定值,且具有较好的稳定性能,因而证明所提出的算法是有效的。For a multi-rate sample system with different output sampling and input updating described by state-space model , a multi-rate single predictive control algorithm based on single predictive method is proposed , and the closed-loop system properties are analyzed. The sufficient and necessary conditions that make the multi-rate predictive control system stable are given in this paper, and we can conclude that the stability of the closed-loop system can be realized by adjusting the length of the prediction horizon. The simulation result shows the output of system can track set-point, fast with perfect stability. Therefore, the algorithm is effective.

关 键 词：多速率采样系统 单值预报 广义预测控制 稳定性 

分 类 号：TP273.5[自动化与计算机技术—检测技术与自动化装置]