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

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.