In this paper,firstly,to overcome the shortcoming of traditional ARX model, a new operator between an interval number and a real matrix is defined, and then it is applied to the traditional ARX model to get a new type of structure interval ARX model that can deal with interval data, which is defined as interval ARX model (IARX). Secondly,the IARX model is applied to moving pattern-based modeling. Finally,to verify the validity of the proposed modeling method,it is applied to a sintering process. The simulation results show the moving pattern-based modeling using the new type of interval ARX model is robust to variation in parameters of the model, and the performance of the modeling using the proposed IARX is superior to that of the previous work.

翻译：本文首先为克服传统ARX模型的局限性，定义了区间数与实数矩阵之间的新型算子，并将其应用于传统ARX模型，构建出一种可处理区间数据的新型结构区间ARX模型，即区间ARX模型（IARX）。其次，将IARX模型应用于基于移动模式的建模。最后，为验证所提建模方法的有效性，将其应用于烧结过程。仿真结果表明，基于新型区间ARX模型的移动模式建模对模型参数变化具有鲁棒性，且采用所提IARX模型的建模性能优于以往研究。