广义预测控制的稳定性分析

The stability analysis of generalized predictive control

分析了广义预测控制的状态空间结构 ,推导了闭环系统的特征方程和传递函数 ,给出了闭环系统稳定的条件 ,讨论了闭环系统的阶次 ,指出广义预测控制不改变系统的零点 ,但有助于克服纯滞后的影响 ;研究了控制量加权系数为

The state space structure of the Generalized Predictive Control(GPC) was analyzed, the characteristic equation and the transfer function of the closed-loop system were derived, The conditions of stability of the closed-loop system were presented, and the rank of the closed-loop system was discussed. It was pointed out that GPC didn’t change the zero points of the system, but could eliminate the effects of the time-delay. The properties of the closed-loop system while setting the weighting coefficient to zero were discussed.