多变量广义预测控制系统的鲁棒稳定性

STABILITY ROBUSTNESS OF MULTIVARIABLE GENERALIZED PREDICTIVE CONTROL

根据非自适应下广义预测控制（ＧＰＣ）与线性二次型高斯（ＬＱＧ）最优控制间的一致关系，利用ＬＱＧ／ＬＴＲ技术对ＧＰＣ鲁棒稳定性作了分析，从而为ＧＰＣ中观测器矩阵的选取给出理论基础．

Based on the equivalence of multivariable Generalized Predictive Control to infinite time LQG control,the paper demonstrates that GPC can be represented as Linear Quadratic Gaussian control with Loop Transfer Recovery (LTR) for robustness enhancement.The property is then further explored to derive robustness characteristics for the GPC systems.Also the paper presents that noise input matrix T(q -1 ) can be interpreted as singular Kalman Filter polynominal matrix thus providing some useful theorem foundations for the choice of design constants and control prefilter in GPC.