改进的广义预测控制的稳定性分析

STABILITY ANALYSIS OF MODIFIED GENERALIZED PREDICTIVE CONTROL

本文在广义预测控制(GPC)算法的基础上提出了改进算法。并对改进的算法进行了稳定性分析,得到了简练的特征多项式,然后进一步证明其特征多项式中的参数可以直接用预测模型、被控对象模型和控制参数代替,不必另行计算。其结论仍适用于原有的GPC算法的稳定性分析。

D. W. Clarke proposed a Generalized Predictive Control (GPC) algorithm in [1,2]. we have propossed a modified control algorithm [3,4]. In this paper, the stability of modified control algorithm [4] is analyzed. The characteristic polynomial of the loop system is simply expressed, its parameters are directly obtained from predictive model parameters requiring no further computation. Its conclusions are still suitable to the analysis of the original GPC algorithm [1,2,5].