ABSTRACT

This paper deals with the tracking of a prespecified profile temperature for exothermic chemical tubular reactor whose dynamics is described by a set of nonlinear partial differential equations where the state variables are the reactor temperature and the reactant concentration. The coolant temperature, the inlet temperature and the inlet concentration are considered as control actions. For practical reasons, it is preferable to consider a non distributed control law to achieve the control objective. In contrast to our previous work that considers fully distributed control actions where the three control inputs are assumed to be distributed along the reactor, here the last two control inputs are applied at the reactor inlet and only the coolant temperature is distributed along the reactor. We show that the temperature of the reactor tends asymptotically to a ball of arbitrary prescribed radius $\lambda >0$, centred at the given temperature profile.

摘要

本文处理放热化学管式反应器的预先指定曲线温度的跟踪，其动力学由一组非线性偏微分方程描述，其中状态变量是反应器温度和反应物浓度。冷却剂温度、入口温度和入口浓度被认为是控制动作。出于实际原因，最好考虑使用非分布式控制法则来实现控制目标。与我们之前考虑完全分布式控制动作的工作相反，其中假设三个控制输入沿反应堆分布，这里最后两个控制输入应用于反应堆入口，只有冷却剂温度沿反应堆分布。$\lambda >0$，以给定的温度曲线为中心。