Numerous processes in chemical and biological engineering make use of tubular reactors. A particular kind of tubular reactor was known as a chemical plug-flow reactor (PFR) when there is no diffusion term. This paper offers a nonlinear controller for a non-isothermal PFR governed by time-delay first-order partial differential equation (PDE). Due to, an Extended state-dependent differential Riccati equation (ESDDRE) of the PFR system, a sub-optimal nonlinear controller is suggested. At the first step, an Extended pseudo-linearization (EPL) presentation of the PFR with State-dependent coefficients (SDC) is designed. All of the time-delay terms in this representation are situated in the input vectors as well as the system matrices. Then, a control signal regard on the ESDDRE controller is generated by introducing a Hamiltonian equation and performance index according to the PDE systems. Moreover, the asymptotic stability regarded on ESDDRE controller is guaranteed by applying a suitable Lyapunov theory. Simulation results verify the efficiency of the recommended ESDDRE controller method for two EPL form presentations with different time delays.

化学和生物工程中的许多过程都使用管式反应器。当没有扩散项时，一种特殊类型的管式反应器被称为化学活塞流反应器（PFR）。本文提供了一种由时滞一阶偏微分方程 (PDE) 控制的非等温 PFR 的非线性控制器。由于 PFR 系统的扩展状态相关微分 Riccati 方程 (ESDDRE)，建议使用次优非线性控制器。第一步，设计具有状态相关系数 (SDC) 的 PFR 的扩展伪线性化 (EPL) 表示。该表示中的所有时滞项都位于输入向量以及系统矩阵中。然后，根据偏微分方程系统引入哈密顿方程和性能指标，生成ESDDRE控制器上的控制信号。此外，应用合适的Lyapunov理论保证了ESDDRE控制器的渐近稳定性。仿真结果验证了推荐的 ESDDRE 控制器方法对于具有不同时间延迟的两个 EPL 表单呈现的效率。