Abstract: In order to deal with the continuous-time systems in the industrial processes, a novel continuous subspace predictive control method is proposed. Firstly, it is developed by reformulating the continuous-time systems using Laguerre filters to obtain the subspace prediction output. Next, the subspace predictors are derived by QR decomposition from input-output and Laguerre matrix. They are then used to construct the incremental future prediction output and the continuous subspace predictive controller is designed. Finally, the process control simulations of an industrial evaporator system show the effectiveness of the proposed method.

Key words: continuous-time systems, subspace predictive control, Laguerre filter, industrial evaporator

摘要： 针对工业过程中常见的连续时间系统，提出一种新型的连续子空间预测控制方法。首先，利用拉格朗日滤波器对连续时间系统模型进行转换，得到子空间预测输出；然后，对构造的输入输出和拉格朗日矩阵进行QR分解得到子空间预估器，将子空间预估器用于构造增量型未来预测输出值，进而设计出连续子空间预测控制器；最后，通过工业蒸发器系统过程控制仿真实验，验证了所提出控制方法的有效性。

关键词: 连续时间系统, 子空间预测控制, 拉格朗日滤波器, 工业蒸发器