This work is devoted to solve the state and error-feedback control problems for a catalytic reverse flow reactor (CFRR), which is modeled by nonlinear partial differential equations (PDEs). These two regulation problems will be solved based on the linearized infinite-dimensional representation. The objective is to track a desired output reference under the presence of disturbances. Both the reference trajectory and the disturbance profiles are generated by a distributed parameter exosystem. First, a state feedback stabilizing regulator is designed which drives the process output to a reference trajectory. The second main aim is to develop a dynamical controller that uses the tracking error as an input. Furthermore, it has been demonstrated that the closed-loop plant is exponentially stable and the tracking error asymptotically goes to zero. The developed regulators are evaluated through numerical simulations for the case study of methane combustion.

这项工作致力于解决催化逆流反应器 (CFRR) 的状态和误差反馈控制问题，该反应器由非线性偏微分方程 (PDE) 建模。这两个调节问题将基于线性化的无限维表示来解决。目标是在存在干扰的情况下跟踪所需的输出参考。参考轨迹和干扰剖面都是由分布式参数外系统生成的。首先，设计了一个状态反馈稳定调节器，将过程输出驱动到参考轨迹。第二个主要目标是开发一种使用跟踪误差作为输入的动态控制器。此外，已经证明闭环设备是指数稳定的，并且跟踪误差渐近为零。