This paper addresses the model predictive output controller design for a non-isothermal axial dispersion tubular reactor accounting for energy and mass transport in a recycle stream. The underlying transport-reaction process is characterized by different mass and energy Peclet numbers. Open-loop analysis reveals unstable operating conditions based on the reactor’s parameters. The discrete model of the system is obtained by considering a Crank-Nicolson type of discretization method without any model reduction and/or spatial approximation for the system of coupled parabolic PDEs. The proposed predictive controller accounts for asymptotic close-loop system stabilization and/or naturally present input and state constraints with the rejection of possible disturbances arising from reactor operations. To account for output controller design, a discrete observer is developed to reconstruct the infinite dimensional states in the predictive control realization. Finally, the controller’s performance is assessed via simulation studies, implying proper state stabilization and constraints satisfaction with input disturbance rejection.

本文介绍了一种非等温轴向分散管式反应器的模型预测输出控制器设计，该设计考虑了循环流中的能量和质量传输。潜在的运输反应过程的特征在于不同的质量和能量派克雷特数。开环分析显示了基于反应堆参数的不稳定运行条件。通过考虑Crank-Nicolson类型的离散化方法获得系统的离散模型，而对于耦合抛物线PDE的系统则没有任何模型简化和/或空间近似。所提出的预测控制器考虑了渐进式闭环系统的稳定和/或自然存在的输入和状态约束，并拒绝了反应堆运行引起的可能干扰。为了说明输出控制器的设计，开发了一个离散的观察器，以重构预测控制实现中的无穷维状态。最后，通过仿真研究评估了控制器的性能，这意味着适当的状态稳定和约束对输入干扰抑制的满意程度。