动态矩阵控制的鲁棒性分析及其参数调整方法

Robustness analysis and parameter adjustment for DMC

基于设计的点预测控制器及其鲁棒性分析,得到的任意动态矩阵控制器都可以由点预测控制器的加权和表示,而其鲁棒性亦可由点预测控制器的鲁棒性加权和近似表示.本文进一步分析了为改善预测控制中的矩阵求逆条件和控制器的稳定性而采取对预测控制器的控制增量△u(t)加入惩罚园子后的鲁棒性,得到其鲁棒性不小于原控制器,并在此基础上分析了控制器参数对系统鲁棒性的影响和为提高鲁棒性而进行参数调整的方法,为动态矩阵控制在过程控制中的应用提供指导.

Point prediction controllers have been designed and their robustness has been analyzed, with the conclusion that any DMC controller is the weighted representation on point prediction controllers and its robustness can be represented approximately by weighing the robustness of point prediction controllers. Furthermore, in order to improve the condition of matrix inverse of DMC and its stability, a penalty factor is applied to Δu(t) of DMC, it is concluded that its robustness is no less than that of the original DMC. Finally, the effect of controller's parameters on system robustness is analyzed and the parameters adjustment method to improve robustness is investigated in this paper. Therefore, some clear directions are given on the application of DMC.